Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.

Question 8 options:

A)

image

B)

image

C)

image

D)

image

Answers

Answer 1

Step-by-step explanation:

The given function is :

[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)

It is an equation of parabola. The vertex form for equation of parabola is given by :

[tex]y=a(x-h)^2+k[/tex] ...(2)

Here,

Vertex = (h,k), axis = h and rate = a

From equation (1) and (2) :

a = -1/8, h = 1 and k = -4

The atached graph shows the graph for the given equation.

Select The Correct Graph Of The Function Y = 1/8(x 1)2 4 Below.Question 8 Options:A) ImageB) ImageC)

Related Questions

5 plus 5 euqals what number help

Answers

Answer:

10

Step-by-step explanation:

lol

...its 10

Step-by-step explanation:

1+1+1+1+1= 5

1+1+1+1+1= 5

5+5=10

???? Help me and I’ll mark as brainliest

Answers

Answer:

15

Step-by-step explanation:

Answer:

I believe the answer is 6.

Step-by-step explanation:

Create the f(x) function based on the table. Answer should be in function notation

Answers

Answer:

It will be

f(x)=x+4

Complete this division sentence.
763 + 23 =
r

Answers

Answer:

is it a division or addition

Step-by-step explanation:

for me the answer is 786

The answer is 33 because you have to reduce the expression, if possible, by cancelling the common factors.

HELP ME PLZ

A figure is shown in the image. What is the measure of the
highlighted angle?
А. 30
В. 60
С. 120
D. 65

Answers

Answer:

c is the correct answer i my guest

c is the answer to the question

Considering only the factors of the form x - k, what is the relationship between the k values and the zeros?​

Answers

Given:

Considering only the factors of the form x - k.

To find:

The relationship between the k values and the zeros?​

Solution:

We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.

It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.

The relationship between the k values and the zeros is defined as

​k values = Zeros of the function

Therefore, the k values are to zeros of the function.

(2x + y = 14
5x - y = 28
Which ordered pair represents the solution

Answers

Answer:

D (6,2)

Step-by-step explanation:

2x6+2=14 2x6= 12 12+2= 14

5x6-2=28 5x6=30 30-2=28

The value of a car depreciates every year ata constant rate, Gary bought a car for $25,000 in the year 2013. If the value of the car is expected to depreciate 15% annually, what can Gary expect for the value of his car in the year 2017?

Answers

Answer:

Step-by-step explanation:

15×4(which is the difference in the year)=60%(this is the depreciation percent)

The value of the car in 2017=40/100×25000=$10000

what's 2+2-2-4+77 and what is the square root of the sum

Answers

Answer:

simplified it is 75 the square root of 75 is 8.66025403784

Step-by-step explanation:

Please help me thank you

Answers

Answer:

90

Step-by-step explanation:

90

The ratio of fifth graders to sixth graders is 4 to 5. If one of the grade totals is 160,
select the possible totals for the other grade.
200
160
40
32
128

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

40 and 32 i think

Step-by-step explanation:

i did it and im pretty sure its 40 and 32

If you have 54/4 how does it equal 13.5

Answers

Simplifying
54 * 4 = 13.5

Multiply 54 * 4
216 = 13.5

Solving
216 = 13.5

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

I don't like mathematics

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree

Answers

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

Let 'x' be the degree measure of the first angle.

Given that the degree measure of one of two complementary angles is twice that of the other.

Thus, the other angle = 2x

Complementary angles

We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Question :

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

Answer :

A.) 30 degrees

Solution :

Let one angle = x

According to statement,

Another angle = 2 × first angle

[tex] \sf : \implies Another \: angle = 2x[/tex]

Now, we know that sum of complementary angles is 90°

Hence,

[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]

[tex] \sf : \implies 3x = 90^{\circ}[/tex]

[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]

[tex] \sf : \implies x = 30^{\circ}[/tex]

[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

Which of the following is equal to 16.4 ?
O A. 32
O B. V16.4
O c.
D. 64

Answers

Answer:

b?

Step-by-step explanation:

b= v16.4

a. What is the decimal for 1 trillionth of a second?

Answers

Answer:

Step-by-step explanation:

1 000 000 000 000 E12

Answer:

Step-by-step explanation:

0.000 000 000 001

i need help with this one (T_T)​

Answers

I think it’s the 3 I’m not sure

What is the degree of 24x?

Answers

Answer:

one

Step-by-step explanation:

how many times larger is 2.4 x 10^8 than 6 x 10^7?

Answers

The answer is 400 times!

It took Davina 45 minutes to clean her room. How many seconds did it take her

Answers

Answer:

2700

Step-by-step explanation:

i think

In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)

Answers

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀

What is the value of sin {3sin^-1 (2/5)} ?​

Answers

Answer:

[tex]\displaystyle \frac{118}{125}[/tex]

Step-by-step explanation:

Trigonometry

Calculate

[tex]\sin (3\sin^{-1}(2/5))[/tex]

We use the formula for the sine of triple angle:

[tex]\sin 3x=3\sin x-4\sin^3 x[/tex]

And recall:

[tex]\sin \sin^{-1}x=x[/tex]

For this problem, we set:

[tex]x=\sin^{-1}(2/5)[/tex]

Thus:

[tex]\sin 3x=3\sin (\sin^{-1}(2/5))-4\sin^3 (\sin^{-1}(2/5))[/tex]

[tex]\displaystyle \sin 3x=3*\frac{2}{5}-4\left(\frac{2}{5}\right)^3[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-4*\frac{8}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6*25}{125}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{150-32}{125}[/tex]

[tex]\mathbf{\displaystyle \sin 3x=\frac{118}{125}}[/tex]

An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management

Answers

Answer:

Step-by-step explanation:

Here are the missing values;

Mean μ = 15.5 minutes

Standard deviation = 1.7 minutes

A Random sample of 90 completion

The sample mean = 15.4 minutes

Level of significance = 0.1

Then the following analysis can be made on the above study.

Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]

the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]  

Since, the value is less than, then this is a one-tailed test.

The Z test statistics can be computed as:

[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]

[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]

[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]

Z = −0.560

The critical value of Z at 0.1  level  of significance is:

[tex]Z_{0.1} = -1.28[/tex]

Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28

Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.

Marita always listen to her favourite radio station when she drives her car
Everymoarning she listen to her radio

Answers

Where’s the question?

12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.

Answers

Answer:

467

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words.
Renee and David plan to file taxes as married filing jointly. They have a combined taxable income of $51,325. Use the table to determine the amount of tax due, and calculate their effective tax rate, rounding to the nearest tenth.

Answers

Answer:

the answer is 6766 and the percent is 13.2

Step-by-step explanation:

100 on the plato test

A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)

Answers

Answer:

Hence 262 adults and 88chidren are in the audience

Step-by-step explanation:

Let the number adults be x

Let the number of children be y

If there are 350seats in the theatre then;

x+y =350 .... 1

Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;

10.50x + 7.50 y = 3411..... 2

Solve simultaneously

From 1, x = 350-y

Substitute into 2:

10.50(350-y) +7.50y = 3411

3675-10.5y+7.50y = 3412

3675-3y = 3411

-3y = 3411-3675

-3y = -264

y = 264/3

y = 88

From 3: x = 350-y

x = 350-88

x = 262

Hence 262 adults and 88chidren are in the audience

Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.


There's a picture of a circle with the radius of 21 cm

Picture of the circle:

Answers

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

Which of the following functions is non-linear?
A.y = 2x +1
B.2x- 2y=14
C.(x+2)² = 6
D.y=7

Answers

The one that is non-linear is D
The answer is D. That is the non linear function!

X + 7/8 = 23/8

Please help

Answers

Answer:

x=2

Hope I helped

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

1 hundred 8 million 4 hundred 4 thousand translate

Answers

Answer:

800,004,500

Step-by-step explanation:

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Transcaucasia and Central Asia. How important do you think pauses can be during public speeches? What is the purpose of a pause or strategic silence? when 3.18 g of copper (||) oxide were carefully heated in a stream of dry hydrogen, 2.54 g of copper and 0.72 g of water were formed determine the number of moles of hydrogen atoms which combine with one mole of oxygen atoms Based on the passage, what does Reggie's response reveal about Georgia's actions throughout the passage? please help me !!!!!!!!!!!!!!!!!!!!!!!! An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for .There's a picture of a circle with the radius of 21 cmPicture of the circle: When Marley was alive, how were he and Scrooge alike? NEED ASAPPPPThe linear equation below describes the graph of a line.4x 3y = -12 Which of these is a point on the graph of the line? The model below shows a part of a human body's muscular system.Muscles are organs that make movement possible. Which organ system is responsible for controlling muscular movement?A. Endocrine systemB. Skeletal systemC. Nervous systemD. Digestive system What was the impact of the industrial revolution on Europe 1 hundred 8 million 4 hundred 4 thousand translate Which relation is a function?A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)} the muslims destoried much of the greek kknowledge they found during their expansion true or false How much force would be needed topush a 22 kg box across the floor withan acceleration of 1.9 m/s^2? Assumethat there is a coefficient of friction of.17 between the box and the floor.Help me with this!!!!!!!its due in 10 minutes Abby spent 22 minutes working on her science project yesterday 34 minutes working on today. how many minutes did Abby spend working on her science project altogether Which sentence is punctuated correctly? (4 points)Our team won the championship, the state championship this year.Our team wonthe championshipthe state championship this year.Our team won the championship-the state championship-this year.Our team won, the championship the state championship, this year. Who were the other half that Jacob Riis referred to in his 1890 book How the Other Half Lives?A the factory ownersB the upper classC the working poorD the middle class which among the accounts or analyses do you consider the most convincing and reliable?why? how many times larger is 2.4 x 10^8 than 6 x 10^7?