1. The figure shows a graph of the function of f(x) in the xy-coordinate plane, with the vertex at (1,9) and the zeros
at -2 and 4.
x
5 6 7 8 9
The function g is defined by g(x) = -3x + 2. Which statements are true? Select ALL that apply.
f{-2) is greater than g(-2).
f{-1) is less than g(-1).
f{0) is greater than g(0)
f(1) is less than g(1).
f(2) is greater than g(2).

1. The Figure Shows A Graph Of The Function Of F(x) In The Xy-coordinate Plane, With The Vertex At (1,9)

Answers

Answer 1

Answer:

f{0) is greater than g(0) and f(2) is greater than g(2).

Step-by-step explanation:

f{0) is greater than g(0) = f(0)=8  and g(0)=2

f(2) is greater than g(2) = f(2)=8 and g(2)= -4

Answer 2

The two statements that are correct are f(0) is greater than g(0), and f(2) is greater than g(2).

What is the general equation of parabola?

The general equation of a parabola is given as,

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

where (h,k) is the coordinate of the vertex of the parabola.

The equation of the parabola with vertex (1,9) can be written as,

[tex]y=a(x-h)^2+k\\\\y=a(x-1)^2+9[/tex]

Now, the value of a can be found by putting one zero of the parabola,

[tex]y=a(4-1)^2+9\\\\0=a(3)^2+9\\\\-9=a(3)^2\\\\-9=a9\\\\a=-1[/tex]

Thus, the equation of the parabola can be written as y=-(x-1)²+9.

A.) The value of the two functions when the value of x is -2 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(-2)=-(-2-1)^2+9\\\\f(-2)=0[/tex]

[tex]g(x) = -3x + 2\\\\g(-2) = -3(-2) + 2\\\\g(-2)=8[/tex]

Therefore, f(-2) is less than g(-2).

B.) The value of the two functions when the value of x is -1 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(-1)=-(-1-1)^2+9\\\\f(-2)=5[/tex]

[tex]g(x) = -3x + 2\\\\g(-1) = -3(-1) + 2\\\\g(-1)=5[/tex]

Therefore, f(-1) is equal to g(-1).

C.) The value of the two functions when the value of x is 0 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(0)=-(0-1)^2+9\\\\f(0)=8[/tex]

[tex]g(x) = -3x + 2\\\\g(0) = -3(0) + 2\\\\g(0)=2[/tex]

Therefore, f(0) is greater than g(0).

D.) The value of the two functions when the value of x is 1 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(1)=-(1-1)^2+9\\\\f(1)=9[/tex]

[tex]g(x) = -3x + 2\\\\g(1) = -3(1) + 2\\\\g(1)=1[/tex]

Therefore, f(1) is greater than g(1).

E.) The value of the two functions when the value of x is 2 can be written as,

[tex]f(x)=-(x-1)^2+9\\\\f(2)=-(2-1)^2+9\\\\f(2)=8[/tex]

[tex]g(x) = -3x + 2\\\\g(2) = -3(2) + 2\\\\g(2)=-4[/tex]

Therefore, f(2) is greater than g(2).

Thus, the two statements that are correct are f(0) is greater than g(0), and f(2) is greater than g(2).

Learn more about Equation of Parabola:

https://brainly.com/question/4074088


Related Questions

help with this please free brainlist i promise only if you get it right though

Answers

Answer:eirther C or D not sure

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}[/tex]+ [tex]b^{2}[/tex]= [tex]c^{2}[/tex]Question 8 options:
[tex]\sqrt{26}[/tex]

[tex]\sqrt{89}[/tex]
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do you have a picture

Answer:

is there a picture?

Step-by-step explanation:

Please help I'm not the best at word problems and I really need help​

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Answer :
70mins(T) x 65(d) divided by half

You have 85miles left so 1hour and 30mins



A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.

A store sells 50-pound bags of grass seed. one pound of grass seed covers about 400 square feet of field.

How many square feet does each 50-pound bag cover?

Answers

Answer:

4 bags

Step-by-step explanation:

A = r²

A = 3.14 * 145² = 66,018.5 ft²

66,018.5 ÷ 400 ≈ 165.05 lb.

165.05 ÷ 50 ≈ 4 bags

jo puts $4500 in a savings account that earns 5.5% interest. how much money will he have after 18 months?

Answers

Answer: $247.50 per month

Step-by-step explanation:

$4,500 x 5.5% = 247.50

Answer:

$247.50 per month

Step-by-step explanation:

PLEASE HELP!! IM TIMED!

Answers

in triangle interior opposite angles is equals to exterior angle, but here it is not that way

Step-by-step explanation:

95+30 cannot be 85 so this the error

All triangles equal 180

joanne cannot decide which of two washing machines to buy. The selling price of each is ​$660. The first is marked down by ​40%. The second is marked down by ​30% with an additional 10​% off. Find the sale price of each washing machine. Use pencil and paper. Explain why joanne should buy the first washing machine rather than the second if the machines are the same except for the selling price.

Answers

Answer:

The answer is 396 after that its 416

Step-by-step explanation:

So that means

1. 396

2.416

No prob now give me my five star ratings

Help Please
Answer Choices
A- y = 2.5x
B- y = x + 10
C- y = -x + 10
D- y = -x + 60

Answers

I think C? Because the line started at 70 and went to 50. C would be like 70=60+10
Definitely C that is the correct answer for sure a

Need help please show work

Answers

The answer is C. 37.5

please help me..for some reason its not letting me print out the question because it says *dont use such phrases* but anyways

Answers

She can make two triangle gardens with the six pieces of wood she has
She can make 2 triangles because she only has 6 pieces

EXPERT HELP: DON'T GUESS and SHOW YOU WORK

Answers

Answer:

3

Step-by-step explanation:

the mean is 103, as a result you must find the distance.

from 100 to 103 is 3

from 194 to 103 is 1

from 107 to 103 is 4

Then find the mean again youll get 18/6 which is 3

It is 3 I believe I hope I helped !!

Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s height is 4 feet, 2 inches.

1. Should Clare's or the doctor's measurement be considered the actual height? Explain your reasoning.

2. What was the error, expressed in inches?

3. What was the error, expressed as a percentage of the actual height?

Answers

Answer:

Percentage of error by Clare is estimated as 4.1667 %

Step-by-step explanation:

Height measured by Clare = 4 feet

Height measured by Doctor = 4 feet, 2 inches

Percentage error = ?

Percentage error = Difference/ Actual height *100

Percentage error = (2/ (4*12))*100

Percentage error = 4.1667 %

The accurate height is measured by Doctor, as he have more accurate measurement system.

A rectangular plate has an area of 30 1/16 square inches. If the width of the plate is 4 5/8 inches, what is its length in inches?

Answers

Answer:

10 13/16

Step-by-step explanation:

This is what I got please tell me if its wrong

Katherine was out at a restaurant for dinner when the bill came. Her dinner came to $34. She wanted to leave a 13% tip. How much was her meal plus the tip, before tax, in dollars and cents?

Answers

Answer:

If we are talking about 13% of 34, then the answer will be $4.42, if it's not 13% of 34 then I will try to answer more specifically

PLEASE HELP!! SEE PICTURE BELLOW

Answers

Answer:

c

Step-by-step explanation:

The correct answer should be c !

Please help I will reward brainliest

Answers

Answer:

Step-by-step explanation:

Supplementary means 2 angles adding up to 180 or the line of AEF in this case

so supplementary pairs like DEH and HEF would add up to 180, same with DEJ and JEF

Answer:

Angle DEH and angle HEJ and HEK and KEF add up to 180 degrees

Step-by-step explanation:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary.

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

can somebody plz help for brainliest

Answers

part A: no nether have a negative slope
part B: i would say function 1 has a greater Roc
A- Neither have a negative slope
B- Function 1 has a greater rate of change.

Donna's kitchen is being re-tiled. The diagram of the kitchen is shown. What is the minimum number of square feet of tile that will be needed to complete this job?

Answers

I think it would be 90 be cause 4x5=20 and 10x7=70 70+20=90

Answer: 275 i think

Step-by-step explanation:

When a number is decreased by 7.5%, the result is 61. What is the original number to the nearest tenth?

Answers

Answer: It's 65.9

Step-by-step explanation:

decreased by 7.5%

means 100% - 7.5% = 92.5%

92.5% * x = 61

x= 61 / 92.5%

x = 65.9459

to the nearest tenth :

original number is 65.9Hope this helps have a awesome day/night❤️✨

If x = 6 units, y = 6 units, and h = 8 units, find the area of the trapezoid shown above using decomposition.

A.
96 square units
B.
72 square units
C.
144 square units
D.
48 square units

Answers

Answer:

A

Step-by-step explanation:

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Answers

$162 hope this helps

Answer:

6h+15w

Step-by-step explanation:

well 2 divided by 2 is 6 so 30 divide by 2 is 15

A.
B.
C.
D.
Whats the answer

Answers

I think it’s c not so sure tho
Should be (b.) i’m pretty sure .

At the start of 6th grade, Maya measured 140 cm tall. At the start of 7th grade, Maya was 150.5 cm tall. What is the percent increase in Maya's height between the start of 6th and 7th grade?

Answers

I’m gonna say like 6.97 percent but I’d check just in case and I don’t know if you have to round or not
I Double checked and also got 67.1

An elevator will hold 780 kilograms. If each person weighs 60,000 grams, how many people will the elevator hold?

12 people
13 people
14 people
15 people

Answers

The answer would be 13 people

Answer: 13 people

Step-by-step explanation: Each person weighs 60,000 grams=60kgs

Number of people that the elevator will hold=780/60 simplified it and it would be 13

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle?

5
10
25

Answers

Answer:

Step-by-step explanation:

x+5=-6

x=-11

(y-3)/2=-5

y-3=-10

y=-7

(-11,-7)

Answer:

(-11,-7)

Step-by-step explanation:

geometry, I need help thanks

Answers

it’s A buddy! i just did this one for another student also

please give me the correct answer if you get it right ill give you brainiest if you don't know the answer leave

Answers

A ---> 8

B ---> \sqrt(7)

C ---> 1/2

D ---> 20

A=8 and all the others ones yea

What’s the area of this figure?

Answers

Answer:

374 mm

Step-by-step explanation:

There are two rectangles and one triangle. This means that we need to add the sum of two rectangles and one triangle together.

Rectangle 1:

19*9=171

Rectangle 2:

19*9=171

Triangle:

8*23*1/2=32

(We divide by 1/2 because it's a triangle)

Now we add them together.

171+171+32=374

In the end, the answer is 374. I didn't show all of my work because most of it was done mentally.

470 square mm. the area of the right triangle is 128 sq mm because 32x11=256 and 256/2=128

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Answers

Your answer will be about $84 because you will subtract $36 dollars from your original cost

What would this look like as a equation

Three less than a variable

Answers

Answer:

x-3 or v-3

Step-by-step explanation:

hope this helped!

X-3 is the answer or any variable
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