Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answers
Answer:
[tex]\textsf{A. } y=3x^2+10x-8[/tex]
Step-by-step explanation:
We are given the information that a function has zeros at x = ⅔ and x = -4. In order to find the function that has those zeros, we can substitute the value of the zeros into each function. If the value of a function equates to zero with both values, then that is the function we are looking for.
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Standard Form of a Quadratic: ax² + bx + c = 0.
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[tex]\large \text{$y = 3x^2+10x-8 \implies 0=3x^2+10x-8$}[/tex]
[tex]\boxed{\begin{minipage}{15 em}{\text{$x=\dfrac{2}{3}$}} \\ \\\implies 0=3\left(\dfrac{2}{3}\right)^2+10\left(\dfrac{2}{3}\right)-8\\\\\implies 0=3\left(\dfrac{4}{9}\right)+10\left(\dfrac{2}{3}\right)-8\\\\\implies 0=\not{3}\left(\dfrac{4}{\not{9}\ 3}\right)+\dfrac{20}{3}-8\\\\\implies 0=\dfrac{4}{3}+\dfrac{20}{3}-8\\\\\implies 0=\dfrac{24}{3}-8\\\\\implies 0=0\ \checkmark\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{15 em}{\text{$x=-4$}} \\ \\\implies 0=3(-4)^2+10(-4)-8\\\\\implies 0=3(16)-40-8\\\\\implies 0=48-48\\\\\implies 0=0\ \checkmark\end{minipage}}[/tex]
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[tex]\large \text{$y = 2x^2-5x-12 \implies 0=2x^2-5x-12$}[/tex]
[tex]\boxed{\begin{minipage}{15 em}{\text{$x=\dfrac{2}{3}$}} \\ \\\implies 0=2\left(\dfrac{2}{3}\right)^2-5\left(\dfrac{2}{3}\right)-12\\\\\implies 0=2\left(\dfrac{4}{9}\right)-\dfrac{10}{3}-12\\\\\implies 0=\dfrac{8}{9}-\dfrac{10}{3}-12\\\\\implies 0=\dfrac{8}{9}-\dfrac{10\times3}{3\times3}-\dfrac{12\times9}{9}\\\\\implies 0=\dfrac{8}{9}-\dfrac{30}{9}-\dfrac{108}{9}\\\\\implies0=-\dfrac{22}{9}-\dfrac{108}{9}\\\\\implies 0=-\dfrac{130}{9}\ \textsf{X}\end {minipage}}[/tex] [tex]\boxed{\begin{minipage}{15 em}{\text{$x=-4$}} \\ \\\implies 0=2(-4)^2-5(-4)-12\\\\\implies 0=2(16)+20-12\\\\\implies 0=32+20-12\\\\\implies 0=40\ \textsf{X}\end{minipage}}[/tex]
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[tex]\large \text{$y = 2x^2+5x-12 \implies 0=2x^2+5x-12$}[/tex]
[tex]\boxed{\begin{minipage}{15 em}{\text{$x=\dfrac{2}{3}$}} \\ \\\implies 0=2\left(\dfrac{2}{3}\right)^2+5\left(\dfrac{2}{3}\right)-12\\\\\implies 0=\dfrac{8}{9}\right)+\dfrac{10}{3}-12\\\\\implies 0=\dfrac{8}{9}\right)+\dfrac{10\times3}{3\times3}-\dfrac{12\times9}{9}\\\\\implies 0=\dfrac{8}{9}+\dfrac{30}{9}-\dfrac{108}{9}\\\\\implies0=\dfrac{38}{9}-\dfrac{108}{9}\\\\\implies 0=-\dfrac{70}{9}\ \textsf{X}\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{15 em}{\text{$x=-4$}} \\ \\\implies 0=2(-4)^2+5(-4)-12\\\\\implies 0=2(16)-20-12\\\\\implies 0=32-32\\\\\implies 0=0\ \checkmark\end{minipage}}[/tex]
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[tex]\large \text{$y = 3x^2-10x-8 \implies 0=3x^2-10x-8$}[/tex]
[tex]\boxed{\begin{minipage}{15 em}{\text{$x=\dfrac{2}{3}$}} \\ \\\implies 0=3\left(\dfrac{2}{3}\right)^2-10\left(\dfrac{2}{3}\right)-8\\\\\implies 0=3\left(\dfrac{4}{9}\right)-\dfrac{20}{3}-8\\\\\implies 0=\not{3}\left(\dfrac{4}{\not{9}\ 3}\right)-\dfrac{20}{3}-8\\\\\implies 0=\dfrac{4}{3}-\dfrac{20}{3}-\dfrac{8\times3}{3}\\\\\implies 0=-\dfrac{16}{3}-\dfrac{24}{3}\\\\\implies 0=-\dfrac{40}{3}\ \textsf{X}\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{15 em}{\text{$x=-4$}} \\ \\\implies 0=3(-4)^2-10(-4)-8\\\\\implies 0=3(16)+40-8\\\\\implies 0=48+40-8\\\\\implies 0=80\ \textsf{X}\end{minipage}}[/tex]
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Therefore, the function whose zeros are ⅔ and -4 is [tex]y=3x^2+10x-8[/tex].
Related Questions
12. Diameter,
A = 72Pie
(Circle)
Answers
Answer:
6.98
Step-by-step explanation:
I think that you are looking for the diameter and you are given the area of a circle.
a =[tex]\pi r^{2}[/tex] You are given pi, so [tex]r^{2}[/tex] = 72.
That means that r = [tex]\sqrt{72}[/tex] or a rounded answer of 8.49 rounded to the hundreds place. The diameter is equal to 2 radius, so the diameter rounded is 16.98
Can anyone help me solve these linear systems using substitution?
1. 3x-y=4
x+2y=6
2. 2x-y= -39
x+y= -21
3. 2x+y =11
6x-5y =9
Each question should demonstrate step by step on how to do it, as well as each step should show the final given points of each solution (x,y)
Answers
Answer:
1. (2,2)
2. (-20, -1)
3. (4,3)
Step-by-step explanation:
See attached images
Answer:
The solutions to the sets of equations may be found by either a substitution process or by graphing and looking for the point that the two lines formed by the quations intersect. Both approaches are described.
The "solution" to these sets of equations is the point at which the two lines intersect each other.
Step-by-step explanation:
1. 3x-y=4 and x+2y=6
x+2y=6
6x-2y=8 We can simply add these two equations since y will disappear, leaving just x.
7x = 14 [result of addition]
x = 2 [Solve]
Since x = 2, [Then use the solution for x to find y]
x+2y=6
(2)+2y=6
2y = 4
y = 2
(2,2) is the solution (where the lines intersect). See attached graph.
2. 2x-y= -39 and x+y= -21
2x-y= -39
x+y= -21 Add the two equations (since the y will be eliminated)
3x = -60
x = -20
Find y:
x+y= -21
(-20)+y= -21
y = -1
Solution is (-20,-1)
3. 2x+y =11 and 6x-5y =9
2x+y =11
-6x+-3y = -33 [Multiply by -3 and then add to other equation. This allows us to eliminate x]
6x - 5y = 9
-8y = - 24
y = 3
2x+y =11
2x+(3) =11
2x = 8
x = 4
Solution is (4,3)
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See attached graph for all the graphed solutions.
==================
The substitution process also works if we isolate one of the 2 variables in one equation and then use the resulting value in the second eqaution. For example, in problem 1:
3x-y=4
x+2y=6
Pick either equation and isolate the x or y. I'll pick the second equation and isolate for x:
x = 6-2y
Now use this value of x (6-2y) in the other equation:
3x-y=4
3(6-2y)-y=4
18 - 6y - y = 4
-7y = -14
y = 2
Then use y=2 to fiond x, using either equation:
x+2y=6
x+2(2)=6
x = 2
The solution is (2,2).
This same approach can be used on all these problems. It avoids trying to visualize what can be done to an entire equation to eliminate one of the variables, but it takes a bit more paper.
All solutions are graphed in the attachment.
Use 3.14 for pi. ROUND FINAL ANSWER TO TENTHS!
Answers
2461,8
hope this helps!! just use the formulas and substitute
two less than y is subtracted from x
Answers
Answer: x- (y-2)
Step-by-step explanation:
Two less than y would be y-2,
Then you just subtract it from x
this is my last ever question on brainly.com
please help
Answers
A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
What is a line plot?A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
What is a mean?In Mathematics, a mean is also referred to as an arithmetic average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
Mathematically, the distance between the means of both classes A and B is given by:
Distance = Mean of class A - Mean of class B
Distance = 12 - 4
Distance = 8.
The mean absolute deviation (MAD) for class A is given by:
MAD A = 1/9[2(9 - 12) + (10 - 12) + (11 - 12) + (12 - 12) + (13 - 12) + (14 - 12) + 2(15 - 12)]
MAD A = 1/9[2(3) + (2) + (1) + 0 + (1) + (2) + (1) + 2(3)]
MAD A = 1/9[6 + 2 + 1 + 1 + 2 + 1 + 6]
MAD A = 1/9 × [18]
MAD A = 18/9
MAD A = 2.
Also, the mean absolute deviation (MAD) for class B is given by:
MAD B = 1/9[2(1 - 4) + (2 - 4) + (3 - 4) + (4 - 4) + (5 - 4) + (6 - 4) + 2(7 - 4)]
MAD B = 1/9[2(3) + 2(2) + (1) + (0) + (1) + (2) + 2(3)]
MAD B = 1/9[6 + 4 + 1 + 0 + 1 + 2 + 6]
MAD B = 1/9 × [18]
MAD B = 18/9
MAD B = 2.
Therefore, distance between the means = four (4) times the MAD.
Distance = Means × MAD
8 = 4 × 2.
In conclusion, we can infer and logically deduce that there is no overlap and the distance between the means of both classes A and B is between one (1) times the MAD and five (5) times the MAD.
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Does the graph represent a function?
Answers
It is true that the graph represents a function
How to determine if the graph represent a function?For a graph to represent a function, the following must be true
Each x value on the graph must point to exactly one
The above means that the function must pass the vertical line test
The given graph would pass the vertical line test
This is so because:
Each x value on the graph points to exactly one
Hence, the graph represents a function
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Practising
and Applying
1. Write each radial in simplified form.
a) √48
b) √ 1000
Answers
Answer:
[tex]\Large\boxed{a)~4\sqrt{3} }[/tex]
[tex]\Large\boxed{b)~10\sqrt{10} }[/tex]
Step-by-step explanation:
Question a). √48Given term
[tex]\sqrt{48}[/tex]
Factorize 48 inside the radical sign
[tex]\sqrt{2\times2\times2\times2\times3}[/tex]
Combine terms to form squares
[tex]\sqrt{2^2\times2^2\times3}[/tex]
Simplify the radical sign
[tex](2\times2)\sqrt{3}[/tex]
[tex]\Large\boxed{4\sqrt{3} }[/tex]
Question b) √1000Given term
[tex]\sqrt{1000}[/tex]
Factorize 1000 inside the radical sign
[tex]\sqrt{2\times2\times2\times5\times5\times5}[/tex]
Combine terms to form squares
[tex]\sqrt{2^2\times5^2\times2\times5 }[/tex]
Simplify the radical sign
[tex](2\times5)\sqrt{2\times5}[/tex]
[tex]\Large\boxed{10\sqrt{10} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
number 14 part 1 pls
Answers
Given
[tex]7 - px - x^2 = 16 - (q + x)^2[/tex]
expanding the right side gives
[tex]7 - px - x^2 = 16 - (q^2 + 2qx + x^2)[/tex]
[tex]7 - px - x^2 = 16 - q^2 - 2qx - x^2[/tex]
Two polynomials of equal degree are the same if their coefficients are identical. This means
[tex]\begin{cases}16 - q^2 = 7 \\ -2q = -p\end{cases}[/tex]
[tex]16 - q^2 = 7 \implies q^2 = 9 \implies q=\pm3[/tex]
[tex]-2q = -p \implies p = 2q = \pm6[/tex]
Both [tex]p[/tex] and [tex]q[/tex] are positive, so [tex]\boxed{p=6}[/tex] and [tex]\boxed{q=3}[/tex].
Simplify 10 times the square root of quantity 3 x end quantity plus 4 times the square root of quantity 3 x end quantity plus 5 times the square root of quantity 3 x end quantity. 9 times the square root of quantity 3 x end quantity 9 times the square root of quantity 6 x end quantity 19 times the square root of quantity 3 x end quantity 19 times the square root of quantity 9 x cubed
Answers
The square root of the quantity x plus 7 end quantity minus 1 equals x=2.
What is square root?A number's square root is the factor that can be multiplied by itself to yield that number. Square root of, end square root is the symbol for square root. Finding an integer's square root is the inverse of squaring a number.To find the square root:
√(x + 7) − 1 = x√(x + 7) = x + 1x + 7 = (x + 1)²x + 7 = x² + 2x + 10 = x² + x − 60 = (x + 3) (x − 2)x = -3 or 2Check for extraneous solutions:
√(-3 + 7) − 1 = -3√4 − 1 = -32 − 1 = -31 = -3x ≠ -3√(2 + 7) − 1 = 2√9 − 1 = 23 − 1 = 22 = 2x = 2Therefore, the square root of the quantity x plus 7 end quantity minus 1 equals x = 2.
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The correct question is given below:
The square root of the quantity x plus 7 end quantity minus 1 equals x
The piecewise defined function f(x) is graphed below what is the value of f(5)
Answers
Considering the piecewise function, it is found that f(5) is given by:
f(5) = -1.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
To find the value of f(5) looking at the graph, we have to find y when x = 5. Researching this graph on the internet, we have that, when x = 5:
There is an open circle at y = 3.There is a closed circle at y = -1.The definition is at the closed circle, hence f(5) is given by:
f(5) = -1.
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The Library is having a book sale. Hardcover books sell for $4 each, and paperbacks sell for $2 each. If Connie spent $26 on 8 books, how many hard covers did she buy?
Please show work with a system of equations!!!!!!!!!!!!!
Answers
If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
Number of hardcover boughtLet h represent hard cover
Let p represent paperbacks
Formulate an equation
h + p= 8.......(1)
4h + 2p= 26......(2)
Multiply equation (1) by -2
-2h + -2p = -16
4h + 2p = 26
2h + 0p =10
2h = 10
Divide both side by 2h
h=10/2
h =5 hard covers
Paper backs
P=5-2
P=3 paper backs
Therefore If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
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What is the factored form of 5x − 625x4
Options:
A. 5x(1 + 5x)(1 - 5x + 25x2)
B. 5x(1 - 5x)(1 + 5x + 25x2)
C. (1 - 5x)(1 + 5x + 25x2)
D. (1 + 5x)(1 - 5x + 25x2)
Answers
Answer:
B
Step-by-step explanation:
5x - 625[tex]x^{4}[/tex] ← factor out 5x from each term
= 5x(1 - 125x³) ← this factor is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
1 - 125x³
= 1³ - (5x)³
= (1 - 5x) (1² + 5x(1) + (5x)² )
= (1 - 5x) (1 + 5x + 25x²)
Then
5x - 625[tex]x^{4}[/tex] = 5x(1 + 5x + 25x²)
Suppose you receive a postcard from a good friend with a picture of the Golden Gate Bridge in San Francisco. The postcard is 3.5 inches high and 5.5 inches wide. The fine print on the postcard states that the scale of the picture is 1:19,600. Based on the scale, what's the actual length of the Golden Gate Bridge?
Question 19 options:
Answers
Based on the scale, the actual length of the Golden Gate Bridge is 68,600 inches.
What is the actual length of the Bridge?A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension. An example of a scale drawing is a map.
The scale of a drawing is usually written in this format - length in the drawing, a colon (:), then the matching length on the original image. An example of a scale is 1 : 19,600. This scale means that 1 inch of the postcard represents 19.600 of the original Golden Gate Bridge.
Actual length of the Bridge = scale x length of the bridge in the postcard
19,600 x 3.5 = 68,600 inches
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Simplify the expression to a single numerical value. a. 144 b. 432 c. 900 d. 5,184
Answers
The correct option is: (b)
=432.
What is simplification?By employing multiple processes, simplification refers to reducing the expression to a simpler form. Approximation is the process of making something less complicated and hence easier to accomplish or understand, or the object that arises from this process. The mathematical formula is simplified to its nearest value but is not exactly correct.
What is the simplified equation?Therefore, we must follow the order listed above when simplifying expressions. In the example before, we divide 8 by 4 and then add the result to 12 because, according to BODMAS, division (D) comes before multiples (M).
[tex]$3 \cdot 2^{3} \cdot 2 \cdot 3^{2}Calculate exponents $2^{3}: 8$$$=3 \cdot 8 \cdot 2 \cdot 3^{2}$$Calculate exponents $3^{2}: 9$$$=3 \cdot 8 \cdot 2 \cdot 9$$ $3 \cdot 8 \cdot 2 \cdot 9= 432$$$=432$$[/tex]
So. the value will be = 432
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I understand that the question you are looking for is :
Simplify the expression to a single numerical value.
3*2^3*2*3^2
(a)144
(b)432
(c)900
(d)5,184
algebra 2: graph question
what is the value of a?
what is the value of b?
(graph attached)
Answers
Answer:
a = 3.14
b = 6.28
Step-by-step explanation:
The interval where the function is decreasing is where increasing x values result in decreasing y values. The y values peak at the point (3.14, 2) and decrease until the point (6.28, 0) where the function starts increasing again.
Practical Problem 2
Provide a practical problem below that you will use to represent inverse variation. The problem should be written in complete sentences.
Steps and Work:
List each step for solving the inverse variation practical problem and the work that corresponds with each step.
Answer
Give the correct answer that the app user is being asked to find.
Answers
The steps to solve the inverse variation will be:
Write the variation equation: y = k/x or k = xySubstitute in for the given values and find the value of kRewrite the variation equation: y = k/x with the known value of kSubstitute the remaining values and find the unknownHow to illustrate the variation example?The example will be y varies inversely with x and y = 2 when x = 5. Find y when x = 30
Step 1: Write the variation equation: y = k/x or k = xy:
k = xy
Step 2: Substitute in for the given values of x and y:
k = (2)(5) = 10
Step 3: Rewrite the variation equation: y = k/x with the known value of k (10):
y = 10/x
Step 4: Substitute the remaining values and find the unknown:
y = 10/30
y = 1/3
Therefore, y is 1/3 when x is 30.
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What is a sample statistic give examples give examples. (select all that apply.)
Answers
A sample statistic is a numerical descriptive measure of a sample.
What is a sample statistic?A sample statistic is a numerical metric that describes a sample. A statistic (plural) or sample statistic is any quantity generated from values in a sample for statistical purposes. Estimating a population parameter, characterizing a sample, or testing a hypothesis are all statistical goals. A statistic is the average (or mean) of sample values. The term statistic refers to both the function and the function's value on a particular sample. When a statistic is utilized for a certain purpose, it may be given a name that indicates that purpose.The three examples are - x bar, s, s^2, p hatTherefore, a sample statistic is a numerical descriptive measure of a sample.
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The complete question is given below:
What is a sample statistic?
A _____descriptive measure of a _____.
Give three examples. (Select all that apply.)
Viviana is tracking the number of calories she burns working out. Her watch
tracker says she burned 596 calories in 1 hour. Approximately how many calories
did she burn per minute? Round to the nearest tenth.
Answers
Answer:
9.93 calories
Step-by-step explanation:
If 596 calories = 1h
then ?? calories =1m
since 1h=60 min
>>( 1/60)×596
=9.93 calories
Find the missing length indicated.
Answers
The value of the missing length in the image shown using the Pythagoras theorem is x = 1500
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let h represent the missing red line. Using Pythagoras:
x² = h² + 900²
h² = x² - 900²
Also:
r² = h² + 1600²
r² = x² - 900² + 1600²
And:
(1600 + 900)² = r² + x²
(1600 + 900)² = (x² - 900² + 1600²) + x²
x = 1500
The value of the missing length in the image shown using the Pythagoras theorem is x = 1500
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Austin is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance for the employees of the company: Unlimited and Traditional, Austin wants to deterrine, for workers in the tech Industry, if the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan Austin surveys a random sample of 17 workers who have the Unlimited plan and a random sample of 15 workers who have the Traditional plan. (These samples are chosen independently.) For each worker, he records the number of vacation days taken last year. For the workers with an Unlimited plan, the sample mean is 18.9 with a sample variance of 30.8. For the workers with a Traditional plan, the sample mean is 17.4 with a sample variance of 6.1 Assume that the two populations of vacation days taken are approximately normally distributed. Can Austin conclude, at the 0.10 level of significance, that the population mean of the yearly number of vacation days taken by workers with an Unlimited plan is greater than the population mean of the yearly number of vacation days taken by workers with a Traditional plan? Perform a one-talled test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, (If necessary, consult a list of formulas.) (*) State the null hypothesis and the alternate hypothesis (a) Determine the type of test statistic to use (a) state the null hypothesis H, and the alternate hypothesis (b) Determine the type of test statistic to use. (c) Find the value of the test statistic (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places) (e) At the 0.10 level of significance, can Austin conclude that the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan?
Answers
The question requires that we have to state the hypothesis:
null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.
A. How to state the hypothesisH0: u1 < u2
H1: u1 > u2
The one tail test statistic is what is to be used here
B. standard error[tex]\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }[/tex]
= 1.49
The df = 17 + 15 - 2
= 30
test statistic = 18.9 - 17.4 / 1.49
= 1.007
We have the critical value on excel as T.INV(0.9,30)
= 1.310
E. At 0.1, we can conclude that t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.
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Sims waist is 30 inches. He wants to put on more weight and is hoping to gain enough weight to increase his waist size by 8%. How many inches does he want his waist to be?
Answers
Answer:
32.4 inches
Step-by-step explanation:
Sam wants the increase to be 8% of 30 inches.
IncreaseThe amount of increase Sam wants in his waist size is ...
8% × 30 in = 0.08×30 in = 2.4 in
Waist sizeAdding the wanted increase to his present size would make Sam's waist size be ...
30 in + 2.4 in = 32.4 in
Sam wants his waist size to be 32.4 inches.
__
Additional comment
The larger size can also be computed from ...
30 +8%×30 = (1 +8%)×30 = 1.08×30 = 32.4 . . . inches
When a graphed line is vertical it indicates that the relation:
1. is a function and begins with y =
2. is not a function and begins with x =
3. is a function and begins with x =
4. is not a function and begins with y =
Answers
Answer:
y does not depend on x - it is not a function
That leaves (2) or (4)
Since one does not need y in the equation (4) is eliminated
(2) is the only possible result
For example: x = 5
The function f(x) = –1∕3x2 is shifted down one unit. Which of the following function equations represents this translation? Question 6 options:
A) f(x) = –1∕3(x – 1)2
B) f(x) = –1∕3x2 + 1
C) f(x) = –1∕3x2 – 1
D) f(x) = –1∕3(x + 1)2
Answers
[tex]f(x) = y \: \: \ \: \: \: \: \: \: \: \: \: {normal \: function} \\ f(x) = y - 1 \: \: \: \: \: \: \: func\: shifted \: down[/tex]
[tex]f(x) = \frac{ - 1}{3} x {}^{2} \\ f(x) = \frac{ - 1}{3} x {}^{2} - 1[/tex]
Answer: CAnswer: F(x)= -1/3x2-1
Step-by-step explanation:
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
Answer:
The answer is C- Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Which of the graphs below would result if you made the leading term of the following function negative?
F(x) = 5x³ + x-8
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer: D
Step-by-step explanation:
If the leading coefficient is negative, then as [tex]x \to \infty[/tex], [tex]f(x) \to -\infty[/tex].
Eliminate A and B.If the leading coefficient is negative, then as [tex]x \to -\infty[/tex], [tex]f(x) \to \infty[/tex].
Eliminate C.This leaves D as the correct answer.
A contractor is excavating a ramp into a trench for a construction project. How much dirt will the crew have to remove? To answer, find the volume of the triangular prism in the figure shown. Opening 4 x 6, ramp 8'deep
Answers
Area of triangular prism
1/2 * base * height * length
1/2 * 4 * 6 * 8
2 * 6 * 8
12 * 8
96 cubic feet or 96 ft^3
1. There are only two numbers that are twice the sum of their
individual digits. One of them 0 and I am the other one. I am a
multiple of 9. Which number am I
Answers
Answer: 18
Step-by-step explanation: 18=1+8=9
its complicated but when you check something like
23= 2+3 =5
10 = 1+0=1
the individual digits of 18 are 1 and 8
Sum = 1+8=9
multiply 9 by 2 we get 18
18 is also a multiple of 9.
I hope this helps
Towns A, B, and C lie on a straight line, as shown below. Jack and Arthur start at Town B and drive for an hour from Town B to Town C, where they stop for an hour to eat lunch. Which of the following graphs could represent their distance from Town A during these two hours?
Answers
Considering the situation described, it can be graphed by the first function.
Which graph models the situation?Cities A, B and C are on a straight line.
On the first hour, they leave town B to town C, moving farther from Town A, hence the distance is increasing on the first hour.On the second hour, they stop for lunch, meaning that the distance remains constant at the point it was at the end of the first hour.Hence, the first graph is the correct one for this problem.
More can be learned about functions at https://brainly.com/question/25537936
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Solve for x.
x/3 ≤ −6
Answers
x / 3 ≤ -6
---Multiply both sides by 3 to cancel out the denominator on the left side
x ≤ -18
Hope this helps!
Answer:
x=18 we multiply both 6and3Use the diagram to answer each question.
m/A+m/B=
These are called
1
2 m2D+mz
These are called
= 180°
Use the diagram to answer each question.
3. If m/H=43⁰.
m/E=
m/G=
m/F=
4. If m/G= 132°.
m/H=
m/E=
m/F=
Answers
1. m/A+m/B= 90 deg.
These are called right angles
2. m2D+mz “A”
These are called “supplementary angles”
= 180°
Use the diagram to answer each question.
3. If m/H=43⁰.
m/E= 47
m/G= 137
m/F= 133
4. If m/G= 132°.
m/H= 48
m/E= 42
m/F= 38