Statements that describe the given function are:
(A) f(x) has one real zero because it crosses the x-axis once.(D) f(x) has a real zero at 2.5.(G) f(x) has an x-intercept at (2.5, 0).What is a function?A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.To find the statements that describe the given function:
The following function can be reorganized: [tex]f(x)=\frac{2*x-5}{2*(x-1)*(x+1)}[/tex]There is one real zero (numerator) in the function (x-intercept), which is x = 2.5. Besides, x = 1 and x = -1 are poles (denominator), that is, x-values so that function is undefined.Lastly, the correct answers are:
(A) f(x) has one real zero because it crosses the x-axis once.(D) f(x) has a real zero at 2.5.(G) f(x) has an x-intercept at (2.5, 0).Therefore, statements that describe the given function are:
(A) f(x) has one real zero because it crosses the x-axis once.(D) f(x) has a real zero at 2.5.(G) f(x) has an x-intercept at (2.5, 0).Know more about functions here:
https://brainly.com/question/25638609
#SPJ4
The complete question is given below:
Which statements describe the function f(x)=2x-5/2(x^2-1)? Check all that apply.
(A) f(x) has one real zero because it crosses the x-axis once.
(B) f(x) has two real zeros because it crosses the x-axis twice.
(C) f(x) has real zeros at 1 and –1.
(D) f(x) has a real zero at 2.5.
(E) f(x) has x-intercepts at (1, 0) and (–1, 0).
(F) f(x) crosses the x-axis when x = 1 and x = –1.
(G) f(x) has an x-intercept at (2.5, 0).
What number is represented by the question mark?
111= 0, 3213=0, 7756= 1,7662= 2, 6855= 3, 8096= 5,6666=4 . 8193= 3,9313= 1,8639= 4,1234=0, 2581 = 2,7186= 3, 2679=?
Based on the sequence of numbers given, the number that is represented by the question mark is 2679 = 2.
What is the sequence given?The sequence requires that you count the number of circles that a group of number has. For instance 9 has one circle and 8 has two circles because of the way they are drawn.
The numbers 111, 3213, and 1234 will therefore be equal to 0 because there is no number that has a circle in it.
The number 8096 however, will be equal to 5 because there are 5 circles. Two in 8. 1 in 0. 1 in 9. 1 in 6.
This means that the last number of 2679 will therefore be equal to 2 because there are two circles. One circle is in 6, and the other circle is in 9.
In conclusion, the number represented by the question mark is 2.
Find out more on number sequences at https://brainly.com/question/7882626
#SPJ1
An observer (o) spots a plane (p) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (t). the observer also notices a bird (b) circling directly above her. if the distance from the plane(p) to the tower (t) is 7,000 feet, how far is the bird (b) from the plane (p)? round to the nearest whole number. two parallel lines bp and ot with a transversal running through p and o. dotted red line from p to t and from b to o. angle pot is 33 degrees. the length of p t is 7000. the length of bp is x. 3,815 feet 5,873 feet 8,343 feet 10,779 feet
The distance between the bird (B) and plane (P) exists at 10,779 feet.
How to estimate the distance between the bird (B) and plane (P)?
Given the figure attached,
PT = OB = 7000 ft
PB = OT = x feet
and angle of elevation (∠POT) = 30°
By applying the Tan rule in the triangle POT,
tan 33° = Opposite side/Adjacent side = PT/OT
tan 33° = 7000/x
x = 7000/tan33°
x = 10779 feet
The distance between the bird (B) and plane (P) exists at 10,779 feet.
Therefore, the correct answer is option D. 10779 feet.
To learn more about trigonometric functions refer to:
https://brainly.com/question/3839476
#SPJ4
While playing baseball, sofia takes note of the extreme vectors for which she bats. what is the angle between her two extreme bats? extreme 1: <-8, 12> extreme: 2: <13, 15>
The angle between the two extreme vectors of Sofia bats is 74.60 degrees.
In this question,
The angle between two vectors will be deferred by a single point, which is called as the shortest angle at which we have to turn around one of the vectors to the position of co-directional with another vector.
The extreme vectors of Sofia bats are [tex]\vec u = < -8, 12 >[/tex] and [tex]\vec v = < -8, 12 >[/tex]
The angle between the vectors is
[tex]\theta = cos^{-1} \frac{\vec u.\vec v}{||\vec u|| ||\vec v||}[/tex]
The dot product is calculated as
[tex]\vec u. \vec v = (-8)(13)+(12)(15)[/tex]
⇒ [tex]-104+180[/tex]
⇒ 76
The magnitude can be calculated as
[tex]||\vec u|| = \sqrt{(-8 )^{2} +(12)^{2} }[/tex]
⇒ [tex]\sqrt{64+144}[/tex]
⇒ [tex]\sqrt{208}[/tex]
[tex]||\vec v|| = \sqrt{(13 )^{2} +(15)^{2} }[/tex]
⇒ [tex]\sqrt{169+225}[/tex]
⇒ [tex]\sqrt{394}[/tex]
Thus the angle between the vectors is
[tex]\theta = cos^{-1} \frac{76}{(\sqrt{208} )(\sqrt{394} )}[/tex]
⇒ [tex]\theta = cos^{-1} \frac{76}{\sqrt{81952} }[/tex]
⇒ [tex]\theta = cos^{-1} \frac{76}{286.27 }[/tex]
⇒ [tex]\theta = cos^{-1} (0.2654)[/tex]
⇒ [tex]\theta=74.60[/tex]
Hence we can conclude that the angle between the two extreme vectors of Sofia bats is 74.60 degrees.
Learn more about angle between two vectors here
https://brainly.com/question/19726452
#SPJ4
Solve the system of equations.
y equals x plus 8
y equals 3 x plus 2
Answer:
The answer is (3,11) or x = 3, y = 11
Step-by-step explanation:
:)
Answer:
(3, 11 )
Step-by-step explanation:
y = x + 8 → (1)
y = 3x + 2 → (2)
substitute y = 3x + 2 into (1)
3x + 2 = x + 8 ( subtract x from both sides )
2x + 2 = 8 ( subtract 2 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (1)
y = 3 + 8 = 11
solution is (3, 11 )
find the slope given the following information
(3,7) and (-4,10)
Answer:
m=-3/7
Step-by-step explanation:
m=rise/run=Δy/Δx
m=y2−y1/x2−x1
m=10−7/−4−3
m=3/−7
m=−3/7
Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.
The number line which represents the solution bro the inequality y -2 < -5 is;
An open circle is at negative 3. Everything to the left of the circle is shaded.
First, we must solve the inequality so that it looks it's simplest form in order to be represented on a number line.
Solving the inequality is as follows;
y - 2 < -5
y < -5 +2
y < -3.
In essence, representation of the inequality, y < -3 on the number line is as follows;
An open circle is at negative 3. Everything to the left of the circle is shaded.
PS: It is only a closed circle if the inequality includes an equal to sign.
The selling price, s, of an item is s = c mc, where c is the cost of the item and m is the percent markup based on cost. what is the formula solved for m? m = startfraction s minus c over c endfraction m = startfraction s c over c endfraction s minus c = m s c = m
Answer:
s - c over c = m or (s-c)/c = m
Step-by-step explanation:
s = c * mc
s -c = mc
(s - c) / c = m
Answer:
A ) m=s-c/c
Step-by-step explanation:
Find the product of (x − 8)2 and explain how it demonstrates the closure property of multiplication.
The product of [tex](x - 8)^2[/tex] is not a polynomial equation because a polynomial equation means a coefficient of x that has a power of two or more powers.
What is a Polynomial Equation?
The equations developed with variables, exponents, and coefficients exists named polynomial equations. It can include various exponents, where the higher one stands named the degree of the equation.
Closure property under multiplication notes that any two rational numbers' outcome will be a rational number, i.e. if a and b exist in any two rational numbers, ab will also be a rational number.
Example: (3/2) × (2/9) = 1/3.
The product of [tex]$(x - 8)^2[/tex]
Simplifying the equation as (x − 8)(x − 8)
Apply Perfect Square Formula, and we get
[tex]$(a-b)^{2}=a^{2}-2 a b+b^{2}$[/tex]
[tex]$&(x-8)^{2}=x^{2}-2 x \cdot 8+8^{2} \\[/tex]
[tex]$&=x^{2}-2 x \cdot 8+8^{2}[/tex]
Simplifying the above equation, we get
[tex]$x^{2}-2 x \cdot 8+8^{2}=x^{2}-16 x+64 \\[/tex]
[tex]$&=x^{2}-16 x+64[/tex]
This is not a polynomial equation because a polynomial equation means a coefficient of x that has a power of two or more powers.
To learn more about polynomial equations refer to:
https://brainly.com/question/10532996
#SPJ4
2. G.GPE.7 Consider ∆ABC below. What is the perimeter of ∆ABC? * A. 16.9 B. 12.9 C. 18.6 D. 17.4
Answer:B
Step-by-step explanation:
The graph shows the amount of money that the journalism club raised for a scholarship fund over a 5-week period. If x represents the number of weeks, which function is the BEST fit for the information in this graph?
The line of best fit for the information in this graph is:
f(x) = 200x + 100.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (t,v) are given as follows:
(2, 500), (3, 700), (4, 900), (5, 110)
Hence, inserting these points into a calculator, the equation is given by:
f(x) = 200x + 100.
More can be learned about a line of best-fit at https://brainly.com/question/22992800
#SPJ1
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the
translation?
(x + 5, y-3)
(x + 5, y + 3)
(x, y)(x-3, y + 5)
(x, y) (x + 3, y + 5)
(x, y)
O(x, y)
Mark this and return
Save and Exit
lext
Submit
Answer:
(x+5, y-3)
Step-by-step explanation:
I would say this because when a plane is translated up it would be positive and when it's translated to the left it would be negative,
the perimeter of a rectangular plot of land whose length is (2x+5) and width (x-10)m is 80m Find;
i. the value of x
ii. the area of the plot
iii the cost of weeding the plot at $ 0.24 per m square
Answer:
x = 15
The area is 175 [tex]meters^{2}[/tex]
Cost of weeding is $42
Step-by-step explanation:
The perimeter includes two lengths and two widths, so the equation for x would be
2(2x +5) + 2(x -10) = 80 Distribute the 2's
4x + 10 + 2x -20 = 80 Combine the like terms
6x -10 = 80 Add 10 to both sides
6x = 90 Divide both sides by 6
x = 15
Area is length times width. We need to find the length and width.
2x + 5
2(15) + 5
30 + 5
35 is the width
x -10
15-10
5 is the length
A = (l)(w)
A = (35)(5)
A = 175 The area is 175
The cost of weeding is 175 x .24 = 42
A 5-pound box of raspberries costs $27.20. What is the price per ounce?
$
Answer:
$0.34 per ounce
Step-by-step explanation:
A 5 pound box can be changed to ounces. There are 16 ounces in a pound. So we have 5 groups of 16.
5 × 16 is 80 ounces.
There are 80 ounces in 5lbs.
To get a price per ounces, divide.
dollars/ounces
= 27.20/80
= 0.34 dollars/oz.
This is 34cents per ounce.
If f(5) = 12, f ' is continuous, and 7 f '(x) dx 5 = 16, what is the value of f(7)? f(7) =
The value of function f(x) at x = 7 is f(7) = 28
For given question,
we have been given the value of function f(x) at x = 5.
f(5) = 12
We have been given that f'(x) is continuous on 5 and 7
Also, [tex]\int\limits^7_5 {f(x)} \, dx =16[/tex]
We need to find the value of f(7)
Since ∀x, f'(x) = f'(x), f is a primitive function of f' .
And f ' is continuous
[tex]\Rightarrow \int\limits^7_5 {f(x)} \, dx =16\\\\\Rightarrow [f(x)]_5^7=16[/tex]
⇒ [f(7) - f(5)] = 16
⇒ f(7) - 12 = 16
⇒ f(7) = 16 + 12
⇒ f(7) = 28
Therefore, the value of function f(x) at x = 7 is f(7) = 28
Learn more about the function here:
https://brainly.com/question/19508092
#SPJ4
Rose and Tyler divided their 1.5kg of pizza
dough in the ratio 2:3.
How much did Rose receive?
Answer:
0.6kg
Step-by-step explanation:
first roses share becomes 2:5
then you change the kilograms into grams for an easier working
then you multiply 2:5 by 1500g to get roses share
For a standard normal curve, find the z-score that separates the bottom 70% from the top 30%.
Using the normal distribution, the z-score that separates the bottom 70% from the top 30% is z = 0.525.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The z-score that separates the bottom 70% from the top 30% is z with a p-value of 0.7, hence z = 0.525.
More can be learned about the normal distribution at https://brainly.com/question/24537145
#SPJ1
Please answer quickly!
19) The sum of the arithmetic series is - 397. (Correct choice: E)
33) The sum of the geometric series is 1700. (Correct choice: E)
How to determine the sum of a given series
19) Arithmetic series are sets of elements generated by a linear expression of the form:
aₙ = a₁ + (n - 1) · d (1)
Where:
aₙ - n-th term of the seriesa₁ - First term of the series n - Index of the n-th term of the series.d - Change between two consecutive elements of the series.If we know that a₁ = 27, n = 20 and d = - 5, then sum of the first 20 terms of the series is:
x = 27 + 22 + 17 + 12 + 7 + 2 + (- 3) + (- 8) + (- 13) + (- 18) + (- 23) + (- 28) + (- 33) + (- 38) + (- 43) + (- 48) + (- 53) + (- 58) + (- 63) + (- 68)
x = - 397
The sum of the arithmetic series is - 397. (Correct choice: E)
33) Geometric series are sets of elements generated by a exponential expression of the form:
aₙ = a₁ · rⁿ (2)
Where:
aₙ - n-th term of the seriesa₁ - First term of the seriesr - Ratio between two consecutive elements of the series.If we know that a₁ = 1458 and r = 1 / 3, then the sum of the first 6 terms of the geometric series is:
x = 1458 + 162 + 54 + 18 + 6 + 2
x = 1700
The sum of the geometric series is 1700. (Correct choice: E)
To learn more on geometric series: https://brainly.com/question/4617980
#SPJ1
Express each fraction as a decimal:
- 2 4/100
40 points answer ASAP PLEASE!
For what values of x does f(x) = 0?
A.−4, 0, 2
B.−2, 0, 4
C.−5, 0, 17
D.−17, 0, 5
I think it is 2, 0, 4 but it would be very helpful if you put in an image of the graph.
Have a great day :D
1. If R = 32 - 11 (OC+2y). then find R when: x=2 and y=4
The correct equation says to find R = 32 - 11 (X+2y). This gives us the value of -78.
How to solve for the equation belowWe have this
R = 32 - 11 (X+2y)
we have the following values for x and y as 2 and 4 respectively.
What we have to do would be to find the value of R after we have put in these values in the equation.
To do this, we would then have:
R = 32 - 11(2 + 2*4)
R = 32 -11(2+8)
R = 32 - 11 * 10
R = 32 - 110
This would give us the value that says
R = -78
Hence the value of R is given as -78
Read more on equations below:
https://brainly.com/question/2972832
#SPJ1
subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5
- 1.3 is the number we get when we subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5. This can be obtained by finding sum separately and then subtracting them.
What is the required number:Here in the question it is given that,
subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5
By separating them as two parts
sum of -5/6 and -1 3/5 sum of 2 2/3 and -6 2/5⇒ sum of -5/6 and -1 3/5
- 5/6 + - 1 3/5 = - 5/6 + - 8/5 (∵ a b/c = (ac+b)/c(5+3)/5 = 8/5)
= (- 25 - 48)/30 (LCM = 30)
= - 73/30
⇒ sum of 2 2/3 and -6 2/5
2 2/3 + -6 2/5 = 8/3 + -32/5
= (40 - 96)/15 (LCM = 15)
= - 56/15
subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5
= (sum of 2 2/3 and -6 2/5) - (sum of -5/6 and -1 3/5)
= (- 56/15) - (- 73/30 )
= - 56/15 + 73/30
= - 112/30 + 73/30 (LCM = 30)
= - 39/30
= - 13/10
= - 1.3
Hence - 1.3 is the number we get when we subtract the sum of -5/6 and -1 3/5 from the sum of 2 2/3 and -6 2/5.
Learn more about fractions here:
brainly.com/question/10354322
#SPJ1
Choose the most appropriate translation of the english sentence. the amount of time spent spent driving is 5 hours
The most appropriate translation of the English sentence. the amount of time spent driving (which depends on the speed of the car) is 5 hours. is time(speed) = 5, making option C the right choice.
The time spent by a body covering a certain distance at a certain speed is given as time = distance/speed.
In the question, we are asked to translate the English sentence, :"the amount of time spent driving (which depends on the speed of the car) is 5 hours".
In the given sentence, the time spent driving is given to be 5 hours, depending on the speed of the car.
Thus, the time can be shown as a function of speed with a value of 5.
Thus, the translation can be, time(speed) = 5.
Thus, the most appropriate translation of the English sentence. the amount of time spent driving (which depends on the speed of the car) is 5 hours. is time(speed) = 5, making option C the right choice.
Learn more about the translations at
https://brainly.com/question/1523125
#SPJ1
The provided question is incomplete. The complete question is:
"Choose the most appropriate translation of the English sentence. the amount of time spent driving (which depends on the speed of the car) is 5 hours.
a. speed(time) = 5
b. time(5) = 50 mph
c. time(speed) = 5
d. time(speed) > 0"
Help please!
A collection of numbers M consists of all positive integers less than 20. If a collection of numbers N is a collection created by randomly choosing five numbers from M. Which of the following must be true about M?
i. The range must be at least 4
ii. The median must be at least 3
iii. The mean can be above 17
a. i only
b. ii only
c. i and ii only
d. i and iii only
The answer choice which represents statements which are correct regarding the datasets described in the task content is; Choice C; i and ii only.
Which of the answer choices represents statements which are true about the dataset described?It follows from the task content that the universal set M is described to contain all positive integers less than 20 while the collection of numbers N is created randomly by choosing five numbers from it.
Consequently, it follows that since 5 number are to be chosen, the range must be at least 4 as this follows from the extreme case scenario of selecting consecutive numbers. Hence, statement i is correct.
Also, the median must be at least three as the extreme case scenario in which numbers 1,2,3,4 and 5 are chosen still renders the median to be 3.
The mean of the five numbers cannot be above 17 because, when when numbers, 15,16,17,18 and 19 are chosen, the mean is 17 and does not exceed 17. Hence, statement iii is incorrect.
Read more on median and range;
https://brainly.com/question/25725524
#SPJ1
What's the total surface area of a covered box with a length of 4 ft, a width of 3 ft, and a height of 6 ft?
Answer: 108 square feet
===============================================
Work Shown:
L = 4 = length
W = 3 = width
H = 6 = height
SA = surface area of the box
SA = 2*(LW + LH + WH)
SA = 2*(4*3 + 4*6 + 3*6)
SA = 108
Helppp!! pleasee i put a ss!
Answer:
-20
Step-by-step explanation:
He went back 20 and not forward 20. Everyone would want a penalty if you got to go forward.
Can someone help pls :)
Answer:
no
Step-by-step explanation:
The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table.
The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
The equation BEST represents the relationship between velocity and time is y = 2.2x + 6.
According to the statement
we have given some data in the form of graph according to the velocity per time and we have to find the relationship between the velocity and time.
So, for this purpose,
we know that the best method show the relationship is a slope intercept form.
So,
The slope intercept form is a the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
And
Using the coordinate points on the plane (0, 6) and (10, 28)
now we Determine the slope
Slope = 28-6/10-0
Slope = 22/10
Slope = 2.2
And then Determine the y-intercept
6 = 2.2(0) + b
b = 6
And now we have to put in the general form of the slope intercept form which is y = mx + b
Then the equation become
y = 2.2x + 6
So, The equation BEST represents the relationship between velocity and time is y = 2.2x + 6.
Learn more about slope intercept form here
https://brainly.com/question/1884491
#SPJ1
What are the domain and range of g of x equals negative 3 times the square root of the quantity x minus 1? d: (1, [infinity]) and r: (0, [infinity]) d: [–3, [infinity]) and r: [0, [infinity]) d: (–3, [infinity]) and r: (–[infinity], 0) d: [1, [infinity]) and r: (–[infinity], 0]
Answer:
d: d [1, infinity) and r (-infinity, 0)
Step-by-step explanation:
right on the test :3 good luck dear!!
Sketch a graph of the following rational function: h(x)= x²-1/ x³-2x²-x+2
Note that
[tex]\frac{x^2-1}{x^3 - 2x^2 -x+2}=\frac{x^2 -1}{x^2 (x-2)-(x-2)}=\frac{x^2 -1}{(x^2 -1)(x-2)}[/tex]
So, for all [tex]x \neq \pm 1[/tex], [tex]f(x)=\frac{1}{x-2}[/tex].
So, the graph looks like something like as following in the image.
Factorize: p(x)=x^2+9x^2+23x+15
Answer:
(x+1),(x+3),(x+5)
Step-by-step explanation:
may be this answer helps to solve the problems