The graphs below have the same shape. What is the equation of the red
graph?
G(X) =

The Graphs Below Have The Same Shape. What Is The Equation Of The Redgraph?G(X) =

Answers

Answer 1
The answer is B, the y intercept is 6
Answer 2

The equation of the red graph is g(x) = 6 - [tex]x^4[/tex].

Thus, option (B) is correct.

Given:

Function 1 : f(x) = 3 - [tex]x^4[/tex]

As, the y-intercept is the point where a line or curve intersects the y-axis.

It is the value of y when the corresponding x-coordinate is zero. It is the point(s) where the graph crosses the y-axis.

Now, from the graph of function f(x) has the intercept 6.

Also, the graph of function g(x) is 3 unit up from the function f(x).

So, the equation of g(x) will be

= f(x)  + 3

= 3 - [tex]x^4[/tex] + 6

= 6 - [tex]x^4[/tex]

Thus, option (B) is correct.

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Related Questions

An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.

Answers

Answer:

Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.

so 96/120

48/60

24/30

12/15

so the answer is 12/15

The function h(t) = -16t^2 + h, 0 gives the height (in feet) of a ball dropped from a height of h, 0 after t seconds. A ball is dropped from a height of 12 feet. After how many seconds does the ball hit the floor?

could someone explain how to solve the equation? I know it's h(t) = -16^2 + 12

Answers

Answer:

Step-by-step explanation

the answee

what is 69/2 as a mixed number

Answers

Answer:

I think it's 34

Step-by-step explanation:

69/2 = 34.5 = 34

The ratio of teachers to students at Happy Hill School is 2:29 , which means that for every 2 teachers there are students. There are 7 doctors and 27 nurses at Happy Hill Hospital. The ratio of doctors to nurses is, therefore, 7 7:_.

Answers

There fore the ratio of doctor to nurses is 7:27

NEED HELP; A group of friends goes out to dinner. The total bill, without tax, is $63. If tax on the meal is 6% and if an 18% tip is left on the $63 total bill, what is the total amount paid?

A. $78.12
B. $78.80
C. $66.78
D. $74.34

Answers

It’s c I got it right

Saint Xavier school is the national swimming
champion. There are many students. The meet
results for the students is shown below. What is the
highest % of silver medal winners from the two
groups?
- 600 boys won a silver medal out of the 1500 boys.
- 750 girls won a silver medal out of the 1400 girls.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The Group Of Girls.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the boys' percentage...}}\\\\\rightarrow \frac{600}{1500}\\\\\rightarrow 0.4\\\\\rightarrow 0.4 * 100\\\\\rightarrow \boxed{40\%}\\------------\\\boxed{\text{Calculating the girls' percentage...}}\\\\\rightarrow\frac{750}{1400}\\\\\rightarrow 0.53571428571...\\\\\rightarrow 0.53571428571... * 100\\\\\rightarrow \boxed{53.57\%}\\------------\\\\53.57\% > 40\%[/tex]

⸻⸻⸻⸻

The girls should have a higher percentage from the two.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

A hot air balloon is released and it rises at a speed of 15 mph. A

weather pattern introduces a wind headed west at 20 mph. The

hot air balloon is now redirected. What is the new direction of the

hot air balloon?

Answers

Answer:

The direction is 37 degree north of west.

Step-by-step explanation:

velocity of balloon, v = 15 mph upwards

velocity of wind, v' = 20 mph west wards

The direction is given by

[tex]tan\theta = \frac{15}{20}\\\\\theta = 37^o north of west[/tex]

Which angle would be complementary to

Answers

it’s EBD, CBE + EBD = 90* so the complentary angle to CBE is EBD

there are 105 teachers in a school 19 more are femal than male how what is the proprtion of female teachers

Answers

Answer: 62

Explanation: 105 - 19 = 86 (Find out how much the college would have without the more)
86 ÷ 2 = 43 (Find out male and female teachers in a seperate way without more)
43 + 19 = 62 (Female teachers)

4days : 2 weeks simplify​

Answers

Answer:

2:7

Step-by-step explanation:

ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.

Answer:

2 : 7

Step-by-step explanation:

7 days = 1 week

y days = 2 weeks

[tex]\frac{1}{7} :\frac{2}{y}[/tex]

1 × y = 2 × 7

y = 14

4 days : 14 days

4 = 2 × 2

14 = 2 × 7

GCF = 2

4 ÷ 2 = 2

14 ÷ 2 = 7

2 : 7

Use the explicit formula an = a1 + (n-1)•d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...

Answers

Step-by-step explanation:

the answer is in the image above

Answer:

a₅₀₀ = 3517

Step-by-step explanation:

a₁ represents the first term and d the common difference

Here a₁ = 24 and d = 31 - 24 = 7 , then

a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517

lines that intersect and form four right angles are called?​

Answers

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Solve the system of equations:

(1) x - y = 3

(2) 7x - y = -3

Answers

Answer:

x= 70

and y = 67 then

-70-67 =-3

Answer:

x=-1 y=-4

Step-by-step explanation:

answer is in the photo above

Jasmine used the number line to find the distance between 0 and 5. What was Jasmine’s error? Jasmine should have counted from 5 to 0. Jasmine started with the wrong integer. Jasmine gave a negative answer for distance. Jasmine ended with the wrong integer.

Answers

Answer:

The answer is "Option C".

Step-by-step explanation:

In this question, the distance value is -5 that's why option c is correct.

Answer:

C. Jasmine gave a negative answer for distance.

Miguel made $286 for 13 hours of work.
At the same rate, how much would he make for 7 hours of work?

Answers

Answer:

Step-by-step explanation:

The key here is to find out how much he makes per hour. We can find that out using the info given.

286 = 13x so

x = 22 dollars per hour. For 7 hours of work then,

7(22) = $154

The person above is absolutely right and I agree with it! You could also find the unit rate this way:
Find the unit rate of dollars per hour:
286 ÷ 13 = 22
So the unit rate is $22 per hour of work

Either way, the answer is right
Hope this helps!

If a ⋆ b = ab² - a²b, then 2 ⋆ 3 = i don't kno the answer​

Answers

Hello,

We know that :

a * b = ab² - a²b

We know that : 2 * 3 = 6 but we want to try this formula.

We have :

a = 2 and b = 3

So :

2 * 3

= 2 * 3² - 2² * 3

= 2 * 9 - 4 * 3

= 18 - 12

= 6

It works :)

Type the correct answer in the box.
Consider the table below.
х у
-3 0.5
-2
1
-1 2.5
0
5
18.5
Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and care constants.

Answers

Answer:

Step-by-step explanation:

Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:

[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.

[tex]8.5=a(1)^2+b(1)+5[/tex] and

8.5 = a + b + 5 and

3.5 = a + b Hold that thought while we come up with the second equation for this system.

[tex]2.5=a(-1)^2+b(-1)+5[/tex] and

2.5 = a - b + 5 and

-2.5 = a - b  Now solve this system using the method of eliination:

  a  +  b  =  3.5

+ a  -  b  = -2.5

so

2a = 1 and a = 1/2 Now we can plug that in and solve for b:

a + b = 3.5 becomes

1/2 + b = 3.5 so

b = 3 and the equation is

[tex]y=\frac{1}{2}x^2+3x+5[/tex]

which are the slope and the y-intercept linear function that is represented by the graph?

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph is not given.

The general step to calculate slope and y intercept is as follows;

Assume any two points on the graph are:

[tex](x_1,y_1) = (5,1)[/tex]

[tex](x_2,y_2) = (1,4)[/tex]

The slope (m) is:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4 -1}{1-5}[/tex]

[tex]m = \frac{3}{-4}[/tex]

[tex]m = -\frac{3}{4}[/tex]

The equation of the graph is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -\frac{3}{4}(x - 5) + 1[/tex]

[tex]y = -\frac{3}{4}x +\frac{15}{4} + 1[/tex]

[tex]y = -\frac{3}{4}x +\frac{15+4}{4}[/tex]

[tex]y = -\frac{3}{4}x +\frac{19}{4}[/tex]

To calculate the y intercept; set [tex]x = 0[/tex]

[tex]y = -\frac{3}{4}*0 +\frac{19}{4}[/tex]

[tex]y = \frac{19}{4}[/tex] ---- y intercept

5x+y=1
10x-6=34
pleasee

Answers

Answer:

=>x=4

therefore y= -19

Answer:

x = 4, y = - 19

Step-by-step explanation:

Given the 2 equations

5x + y = 1 → (1)

10x - 6 = 34 → (2) , which can be solved as

10x = 40 ( divide both sides by 10 )

x = 4

Substitute x = 4 into (1) and solve for y

5(4) + y = 1

20 + y = 1 ( subtract 20 from both sides )

y = - 19

2/3 of a class are girls.
a) What is the ratio girls to boys in the class?
b) What is the ratio boys to girls in the class?

Answers

1/3 of the class are boys
a) 2:3
b) 1:3
2/3 of the class are girls, so 2:3. That leaves 1/3 of the class as boys, so 1:3 ratio.

When x = 1 and y = –2, z =

Answers

Answer:

No solution is possible from the information provided

Step-by-step explanation:

Please help us help you by including enough information to answer your question.

Answer:

z = -10

Step-by-step explanation:

trust me

Can anyone solve this for me pls

Answers

Answer: I'm pretty sure the answer is 78.90

Step-by-step explanation:

He average price of a home in a neighborhood of mostly leased properties is $259,000. The average monthly rent is $2,500. One home in the neighborhood is leased for $2,800. Using a GRM, what is the value of that home?

Answers

Answer:

$290,080

Step-by-step explanation:

Given:

Average price = 259,000

Average monthly rent = 2500

Monthly rent of home = $2800

Gross Rent Multiplier = price per monthly rent

GRM = Price / monthly rent

The GRM = 259000 ÷ 2500

= $103.60

The price = GRM * Monthly rent

Price = $103.60 * $2800

Price = $290,080

You bought a shirt for 13.50 that was originally 45.00 in terms of percent what discount did you get the shirt?

Answers

45-13.5= 31.5

31.5/45x100= 70%

You got the shirt 70% discounted.

I am not too sure if it’s correct though, I might be wrong.

Complete the sentence:
The intersection of a circle and a triangle can be
A. Six Points
B. Twelve Points
C. Eight Points
D. Circle

Answers

Answer:

A.     Six Points

Step-by-step explanation:

Which region represents the solution to the given system of inequalities?

{y < -1/2x }
[y ≥ 2x+3 }

A
B
C
D

Answers

The region D represents the solution of the given system of inequalities.

What is the system of linear inequalities?

A system of linear inequalities is a collection of linear inequalities in the same variables.

How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or  y< " line.Shade above the line for a " greater then" and below for the "less than".

According to the given equation.

We have system of inequalities.

[tex]y < \frac{-1}{2}x[/tex]

and [tex]y \geq 2x + 3[/tex]

Also, the graph of the inequalities.

Since, y is less than [tex]-\frac{1}{2} x[/tex] shade  below the line.

And, for the second inequality.

y is greater than and equal to 2x + 3 therefore, shade the above the line.

So, the common region D we get after the shading.

Hence, region D represents the solution of the given system of inequalities.

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given f(x)=2/5(6-x)^2 what is the value of f(6)?​

Answers

Answer:

0

Step-by-step explanation:

f(x) = 2/5(6 - x)²

f(6) = 2/5[6 - (6)]²

f(6) = 2/5(0)²

f(6) = 0

due today pls helppppp

Answers

Answer:   19.1

====================================================

Work Shown:

tan(angle) = opposite/adjacent

tan(C) = AB/BC

tan(theta) = x/BC

tan(23) = (8.1)/BC

BC*tan(23) = 8.1

BC = (8.1)/tan(23)

BC =  19.0824041631723

BC = 19.1

In this case, rounding to 3 sig figs means we round to the nearest tenth.

Make sure your calculator is in degree mode.

Find the equation of the line passing
through the points (2, 4) and (3,2).

Answers

Answer:

y=-2x+8

Step-by-step explanation:

first is to find the slope

m=(y2-y1) /(x2-x1)= (2-4)/(3-2)=-2/1= -2

now using the line formula of y=m*x+b, put in one of the points and solve for b.

2= -2*3 + b

2= -6 + b

8 = b

so y= -2*x+8

The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm
The height of the open box is (x - 2) cm.
a) Show that 2x + 5x -58 = 0
) Solve the equation 2x + 5x -58 = 0, giving your answers correct
to 2 decimal places
D) Hence calculate the volume of the box, stating the units of your answer.

Answers

Answer:

a) x = 8.29 cm

D) V = 1125.27 cm³

Step-by-step explanation:

a) We can solve the equation as follows:

[tex] 2x + 5x - 58 = 0 [/tex]

[tex] 2x + 5x = 58 [/tex]

[tex] x = \frac{58}{7} = 8.29 [/tex]

D) The volume of the box is given by:

[tex] V = l*w*h [/tex]

Where:

l: is the length

w: is the width

h: is the height

The length of the rectangular box is:

[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]

The width is x = 8.29 cm.

And the height is:

[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]

Hence, the volume is:

[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]

I hope it helps you!        

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