Answers
The equation is neither geometric nor arithmetic
How to classify the function?The function is given as
f(x) = 2x^2 + 6x - 9
As a general rule, arithmetic functions or sequences have a common difference while geometric functions or sequences have a common difference
Set x = 0, 1 and 2
f(0) = 2(0)^2 + 6(0) - 9 = -9
f(1) = 2(1)^2 + 6(1) - 9 = -1
f(2) = 2(2)^2 + 6(2) - 9 = 11
Calculate the common difference (d)
d = 11 --1 = -1--9
d = 12 = 8 ---- false equation i.e. no common difference
Calculate the common ratio (r)
r = 11/-1 = -1/-9
d = -11 = 1/9 ---- false equation i.e. no common ratio
The above function is not an arithmetic function.
This is so because it does not have a common difference
Also, the function is not a geometric function.
This is so because it does not have a common ratio
Hence, the true statement about the function is (c) the equation is neither geometric nor arithmetic
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Related Questions
A. Undefined b. Zero c.negative b. Positive
Answers
I believe the slope is negative. If it was positive then it would have been " / "
Answer:
C
Step-by-step explanation:
• A vertical line has an undefined slope
• A horizontal line has a slope of zero
• A line sloping downwards from left to right has a negative slope
• A line sloping upwards from left to right has a positive slope
-------------------------------------------------------------------
the line here slopes downwards from left to right and has a negative slope
Uan zhang bought a 10-year bond that pays 8. 25 percent semiannually for $911. 10. what is the yield to maturity on this bond? (roundyour percentage answer to two decimal places. )
Answers
The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.
According to the statement
we have given that the Uan zhang bought a 10-year bond that pays 8. 25 percent interest per 6 months.
And we have to find that the yield to maturity on this bond.
So, For this purpose,
The amount given is $911. 10.
Years to maturity = n = 10
Coupon rate = C = 8.25%
Semiannual coupon = $1,000 × (0.0825/2) = $41.25
Yield to maturity = i
Present value of bond = PB = $911.10
Use the trial-and-error approach to solve for YTM. Since the bond is selling at a discount, we know that the yield to maturity is higher than the coupon rate.
Try YTM = 9.4%:
= $522.90 + 391.54 ≅ $914.43
The YTM is approximately 9.66 percent. Using a financial calculator provided an exact YTM of 9.656 percent (2 × 4.828%).
So, The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.
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2(x+2y)^2 + 3(x+2y) +1
Answers
Answer:
[tex]3x+2y^2+2(x+y)+2y+1[/tex]
Step-by-step explanation:
1) Split the second term in [tex]2{(x+2y)}^{2}+3(x+2y)+1[/tex] into two terms.
1 - Multiply the coefficient of the first term by the constant term.
[tex]2\times1=2[/tex]
2 - Ask: Which two numbers add up to 3 and multiply to 2?
2 and 1.
3 - Split [tex]3x+2y[/tex] as the sum of [tex]2(x+y)[/tex] and [tex]x+2y[/tex].
[tex]2x+2y^2+2(x+y)+x+2y+1[/tex]
2) Collect like terms.
[tex](2x+x)+2y^2+2(x+y)+2y+1[/tex]
3) Simplify.
[tex]3x+2y^2+2(x+y)+2y+1[/tex]
Thank you,
Eddie
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle. A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x. Write and solve an equation to determine the measure of angle x.
Answers
The equation that solve for x is as follows;
70 + 60 + x = 180
How to find an angle?The equation that can be used to find the measure of angle x can be found as follows:
60 + 70 + y = 180
Therefore,
130 + y = 180
subtract 130 from both sides
130 - 130 + y = 180 - 130
y = 50°
70 + 60 + x = 180
130 + x = 180
x = 180 - 130
x = 50°
x and y are vertically opposite angles.
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Liam says -() is equivalent to 2. Explain if Liam is correct by completing the
statements below.
Click the arrows to choose an answer from each menu.
The fraction - (2) can be described as the opposite of a positive number divided by a positive
number. A positive number divided by a positive number results in a Choose...
quotient, and its opposite is always Choose...
The fraction can be described as a positive number divided by a negative number, which
-12
always results in a Choose...
quotient.
value, so Liam Choose...
The fractions have
Choose...
Y
correct.
Someone help I am on my big sisters phone
Answers
Answer:
I don't understand the format of the questions and choices. I simply made a few observation.
Step-by-step explanation:
The fraction - (2) can be described as the opposite of a positive number divided by a positive number.
-(2/1)?
A positive number divided by a positive number results in a Choose... Negative Number
quotient, and its opposite is always Choose... Opposite? Still a negative number.
I don't understand the following:
The fraction can be described as a positive number divided by a negative number, which
-12
always results in a Choose...
quotient.
value, so Liam Choose...
The fractions have
Choose...
Y
correct.
PLSSSS HELPPPP THANK YOUU IF YOU DOOO
Answers
Answer:
B
Step-by-step explanation:
In the figure below, ∠t= 133° . Find the measures of all remaining angle.
Answers
t is vertical to s because they share a point and are directly across from each other. vertical angles are congruent. therefore s=113 degrees
t and p are corresponding angles, which means they are congruent. this means p is also 113 degrees.
s and o are corresponding angles, so o is also 113 degrees.
t and u are supplementary. they share a straight line, so they add up to 180. you can find u by subtracting 113 from 180. 180-113= 67, so u is 67 degrees.
u and r are vertical angles, so r is 67 degrees.
r and m are corresponding, as well as u and q. therefore m and q both equal 67 degrees.
hope this helped :)
Find the total surface area. rectangular prism 2 A. 132 yd² B. 1,238 yd² C. 896 yd² D. 2,736 yd²
Answers
The total surface area is 1308 meters square
How to determine the total surface area?From the question, we have the following dimensions
Length = 19 m
Width = 16 m
Height = 10 m
The total surface area is then calculated as:
Total surface area = 2 * (Length * Width + Width * Height + Length * Height)
Substitute the known values in the above equation
Total surface area = 2 * (19 * 16 + 16 * 10 + 19 * 10)
Evaluate the expression
Total surface area = 1308
Hence, the total surface area is 1308 meters square
The question is incomplete, and the resources cannot be found online.
So, I used the attached figure to answer the question
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Answer:1,238yd squared
Step-by-step explanation:
Your friend won't get many stars like this! What changes would you make to the equation to help your friend collect all the stars? Why are those changes going to work
Answers
The required equation that represents the line of best fit is y = 2x + 4
Finding the equation of a line of best fit.A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
From the given scatters plot, we only need to choose two points that aligns properly and create an equation of a line using the coordinates.
Using the following points (4, 12) and (2, 8)
The equation of the line will be in the form y = mx + b
where
m is the slope
b is the y-intercept
Determine the slope
Slope = y2-y1/x2-x1
Slope = 8-12/2-4
Sope = -4/-2
Slope = 2
Determine the y-intercept
Using the coordinate point (2, 8) and m = 2
8 = 2(2) + b
b = 8 - 4
b = 4
Hence the required equation that represents the line of best fit is y = 2x + 4
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Give the equation for a circle with the given center and radius. center at (-1, 3), radius = 4
Answers
Answer:
(x + 1)² + (y - 3)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 1, 3 ) and r = 4 , then
(x - (- 1) )² + (y - 3)² = 4² , that is
(x + 1)² + (y - 3)² = 16
Answer:
(x+1)^2 + (y-3)^2 = 16
Step-by-step explanation:
The standard form of an equation of a circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2. Plugging in those values, we get (x-(-1))^2 + (y-3)^2= 4^2 = (x+1)^2 + (y-3)^2 = 16.
AB is tangent to ⊙C at point B and AD is tangent to ⊙C at point D.
Circle C is shown. Line segments C B and C D are radii. Line segments B A and D A are tangents to circle C. Angle B C D is 124 degrees.
What is m∠A?
34°
62°
56°
124°
Answers
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
As you can see in the quadrilateral ABCD, the two angles measure 90° (as they are tangents to circle c) and one of them is given 124°
we need to find the Angle BAD : let it be x ~
By angle sum property of Quadrilaterals,
[tex]\qquad \sf \dashrightarrow \: 90 + 90 + 124 + x = 360[/tex]
[tex]\qquad \sf \dashrightarrow \: x+30 4 = 360[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 360 - 304[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 56 \degree[/tex]
Hence, Angle m A = 56°
Answer: c
Step-by-step explanation:
Jason solved the following equation to find the value for x.
-8.5x-3.5x=-78
X=6.5
Describe how Jason can check his answer.
Answers
-8.5x-3.5x=-78
-8.5(6.5)-3.5(6.5)=-78
-55.25-22.75=-78
-78=-78
Suppose it costs $43 to roll a pair of dice. you get paid $6 times the sum of the numbers that appear on the dice. is it a fair game?
Answers
The game is not fair as 6 times the expected sum is less than the cost, $43.
In the question, we are asked if the game is fair.
For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,
6E(X) ≥ 43.
The expected sum for the pair, E(X) can be calculated using the formula,
E(X) = ∑x.p(x),
or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,
or, E(X) = 107/18.
Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.
Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.
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Convert a normally distributed score of 80 with a mean of 70 and a standard deviation of 6 into a z score.
Answers
Answer:
5/3
Step-by-step explanation:
z = (Distributed score - Mean)/Standard deviation= (80-70)/6 = 5/3
Step-by-step explanation:
z = (specific score - mean) / standard deviation
in our case
z = (80 - 70)/6 = 10/6 = 5/3 = 1.666666... ≈ 1.67
as most z-tables round the z-scores to hundredths.
not to forget : the sign matters. so, don't worry, if you have e.g. a specific score of 60 :
(60 - 70)/6 = -10/6 = -5/3 = -1.666666... ≈ -1.67
you did not do anything wrong. that is all ok and valid.
The picture has both the graph and the answer choices plesse help
Answers
Answer: Option (4)
Step-by-step explanation:
The graph has a y-intercept of 2.
Eliminate options (1) and (3).The graph passes through (2,4).
Eliminate option (2).This leaves option (4) as the correct answer.
please help this is a math question about geometry !!!! please view the attached images to see the question and the answer choices i am going to give 13 points and a brainlist thank you
Answers
Answer:
It is the second picture.
Step-by-step explanation:
simplify the expression 9^7/ 9^9 60 points
Answers
Answer:
1/9^2
Step-by-step explanation:
simplify
9^(7-9)
simplify further
9^-2
simplify even more
1/9^2
Answer:
9^16
Step-by-step explanation:
just took the test
What are the points if the slope is 4 and the point is (1,-1)
Answers
The points if the slope is 4 and the point is (1,-1) are (1,-1) and (2, 3)
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the points?The given parameters are:
Slope = 4
Point = (1, -1)
The slope of 4 means that as x changes by 1, the value of y changes by 4
This means that, we have:
(x + 1, y + 4)
Substitute the known values in the above equation
(1 + 1, -1 + 4)
Evaluate
(2, 3)
Hence, the points if the slope is 4 and the point is (1,-1) are (1,-1) and (2, 3)
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A softball player throws a ball into the air with an initial velocity of 32 feet per second. The ball is released at a height of 5 feet. The function h(t) = [tex]-16t^{2}[/tex]+32t+5 models the height h (in feet) of the ball as a function of the time t (in seconds) after it is thrown. Use the equation to find the time that the ball is in the air if the player lets the ball drop
Answers
The time that the ball is in the air if the player lets the ball drop is 2.145 sec
What is a quadratic equation?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax²+ bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
-16t²+32t+5
by comparing this equation to the standard form of the quadratic equation we get
a=-16 b=32 c=5
the time (t) needed for the ball to reach its maximum height using the axis of symmetry formula (x = -b/2a) for a parabola:
the time at which the ball reaches the maximum height using the axis of symmetry formula is (x=-b/2a)
t = -32/2×-16
t=1sec
by putting h(t) to zero and determining the time (t) when the ball hits the ground:
-16t²+32t+5=0
-16(t²+2t+5/16)=0
t²-2t-5/16=0
(t)²-2×1×t+(1)²-5/16=1
(t-1)²=21/16
t-1=√21/√16
t=1+4.58/4
t=1+1.145
t=2.245sec
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Find the measure of angle x in the figure below
57
61
67
Answers
Answer:
51°
Step-by-step explanation:
posted answer to the question
I need help please with this
Answers
Answer:
24
Step-by-step explanation:
thats what i got from the math i did
In whice of the pictures will the string form a knot if you pull on its ends?
Answers
Answer:
3
Step-by-step explanation:
i used process of elimination... 1 and 2 looks unreasonable, and 4 doesn't work cus i tried it irl. i might be wrong though, don't rely on me :>
O Yes
O No
2. (02.01 LC)
Is the following relation a function? (1 point)
{(3,-2), (1, 2), (-1,-4), (-1, 2)}
Answers
Answer:
No
Step-by-step explanation:
Each x can have only ONE y as its partner. In this relation, -1 has TWO different partners: in one point (-1,-4) the y is -4 and in another point (-1,2) the y is 2. Not a function.
Adi used algebra tiles to represent the product (negative 2 x minus 1)(2 x minus 1). an algebra tile configuration. 4 tiles are in the factor 1 spot: 2 are labeled negative x and 2 are labeled negative. 3 tiles are in the factor 2 spot: 2 are labeled x and 1 is labeled negative. 12 tiles are in the product spot: 4 are labeled negative x squared, 4 are labeled negative x, 2 are labeled x, and 2 are labeled . which is true regarding adi’s use of algebra tiles?
Answers
Answer:
3 tiels are in the factor 2: 2 are labeled x and 1 is labeled negative
Answer: B
Step-by-step explanation:
Find the error with subject-verb agreement. select the incorrect verb and type it correctly. on the ledge there is three potted geraniums that desperately need water. however the hanging ferns in the living room are thriving.
Answers
Answer:
Step-by-step explanation:
ggggggg
A palindrome is a string of characters the reads the same backwards as it does forwards. for example, "mam" is a 3-letter palindrome. how many 6-letter palindromes are there?
Answers
If a palindrome is a string of characters the reads the same backward as it does forwards then there are 120 such palindromes after solving through permutations.
Given that a palindrome is a string of characters the reads the same backwards as it does forwards.
We are required to find the number of 6 letter palindromes.
Permutations is basically finding how many ways in which the some numbers or things can be arranged. It is expressed as [tex]nP_{r}[/tex]=n!/(n-r)!.
If there are 6 letters then in a palindrome 3 alphabets are used here to form a 6 letter word.
=6[tex]P_{3}[/tex]
=6!/(6-3)!
=6*5*4*3!/3!
=120 palindromes.
Hence if a palindrome is a string of characters the reads the same backward as it does forwards then there are 120 such palindromes.
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Select the correct answer. a number is selected at random from the set {2, 3, 4, ... 10}. which event, by definition, covers the entire sample space of this experiment?
Answers
[tex]( \: 2 \: 3 \: 4 \: 5 \:6 \: 7 \:8 \: 9 \: 10 \: )[/tex]
[tex]Event \: P \\P:"choosing \: a \: natural \: number \: from \: 2 \: to \: 10 \: inclusive"[/tex]
What is the volume of the rectangular prism?
2 cm
2 cm
2 cm
Answers
Answer:
Step-by-step explanation:
The rate of inflation in the fictional land of sardonia is such that the price of a car costing 24000 dollars in u.s. currency will double in eleven years. what is the annual rate of inflation? what will be the price of this car in five years?
Answers
The annual rate of inflation is 35560.86%.
What is inflation?Inflation is defined as an increase in the overall price of goods and services in an economy.When the general price level rises, each unit of currency purchases fewer products and services; hence, inflation equates to a loss of money's purchasing power. Deflation, or a sustained reduction in the general price level of goods and services, is the inverse of inflation. The inflation rate, which is the annualized percentage change in a general price index, is the most commonly used metric of inflation.To find the annual rate of inflation:
48,000=24,000e^k(7)24,000 24,0002=e^k(7)ln2=lne^k7ln2=k77 7k=0.099 --> k=9.9%Now, sub in 4 and 0.099
=24,000e^(0.099)(4)=35560.86Therefore, the annual rate of inflation is 35560.86%.
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The correct question is given below:
The rate of inflation in the fictional land of Sardinia is such that the price of a car costing 24,000 dollars in U.S. currency will double in seven years. What is the annual rate of inflation? what will be the price of this car in four years?
Testing: h 0 : p = 0. 74 h0:p=0. 74 h α : p < 0. 74 hα:p<0. 74 your sample consists of 43 subjects, with 33 successes. calculate the test statistic
Answers
Test statistic is 0.42.
Given
Testing:
h0 : p = 0.74
h1 : p < 0.74
Successes x = 33
Subject n = 43
A test statistic is a number calculated by a statistical test. It describes how far your observed data is from the null hypothesis of no relationship between variables or no difference among sample groups.
It measures the accuracy of the predicted data distribution relating to the null hypothesis you use when analyzing data samples.
Test statistics z = [tex]\frac{p_{hat} - p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
Where [tex]p_{hat}[/tex] = Sample proportion = [tex]\frac{x}{n}[/tex]
p = population proportion
n = sample size
z = [tex]\frac{(\frac{33}{43})-0.74 }{\sqrt{\frac{0.74(1-0.74)}{43} } }[/tex]
z = 0.42
Hence,
Test statistics is 0.42..
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