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Charra [1.4K]
2 years ago
10

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually g

uess on my questions.

Mathematics
1 answer:
pickupchik [31]2 years ago
7 0

Answer:

D. F(x) = 2(x-3)^2 + 3

Step-by-step explanation:

We are told that the graph of G(x) = x^2, which is a parabola centered at (0, 0)

We are also told that the graph of the function F(x) resembles the graph of the function G(x) but has been shifted and stretched.

The graph of F(x) shown is facing up, so we know that it is multiplied by a <em>positive</em> number. This means we can eliminate A and C because they are both multiplied by -2.

Our two equations left are:

 B. F(x) = 2(x+3)^2 + 3

 D. F(x) = 2(x-3)^2 + 3

Well, we can see that the base of our parabola is (3, 3), so let's plug in the x value, 3, and see which equation gives us a y-value of 3.

y = 2(3+3)^2 + 3 =

2(6)^2 + 3 =

2·36 + 3 =

72 + 3 =

75

That one didn't give us a y value of 3.

y = 2(3-3)^2 + 3 =

2(0)^2 + 3 =

2·0 + 3 =

0 + 3 =

3

This equation gives us an x-value of 3 and a y-value of 3, which is what we wanted, so our answer is:

D. F(x) = 2(x-3)^2 + 3

Hopefully this helps you to understand parabolas better.

You might be interested in
Use the information in the figure. If F=116, find E<br><br> 58<br> 32<br> 116<br> 64
My name is Ann [436]

Step-by-step explanation:

Given that,

  • m∠F = 116°

We have to find the value of m∠E.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→<u> x = 32°</u>

Henceforth,

→ m∠E = x

→ m∠E = 32°

\\

~

6 0
3 years ago
I need these three solved. I have a lot of math to do. the directions say solve each system of equations using substitution. sho
alekssr [168]

Answer:

5.

x + 2(x + 1) = 8 --> x = 2

y = 2 + 1 = 3

7.

3(9 + 2y) + 5y = 20 --> y = -7/11

x = 9 + 2(-7/11) = 85/11

9.

3(-1 - 2y) + 5y = -1 --> y = -2

x = -1 - 2(-2) = 3


6 0
3 years ago
Find the area of the triangle belowunits given are cm, cm^2, cm^3
zloy xaker [14]

Answer:

A_T=150cm^2

Explanation: We need to find the area of the triangle, We know that the area of any right triangle is:

A_T=\frac{1}{2}(b\times h)

Therefore in the information given we have the following:

\begin{gathered} h=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}

Therefore the Area of this triangle is as follows:

\begin{gathered} A_T=\frac{1}{2}(b\times h) \\ \therefore\rightarrow \\ A_T=\frac{1}{2}(20cm\times15cm)=\frac{1}{2}(20\times15)cm^2 \\ A_T=\frac{1}{2}(300)cm^2=150cm^2 \\ \therefore\rightarrow \\ A_T=150cm^2 \end{gathered}

Note! Units are centimeter-squared

4 0
1 year ago
Clem Colfax had $10 to buy groceries. He needed milk costing 70 cents a carton, bread costing 60 cents a loaf, breakfast cereal
zaharov [31]
Cost of milk per carton = $ 70 cents = 70/100 = $0.7
Cost of bread per loaf = $60 cents = 60/100 = $0.6
Cost of cereals per box = $50 cents = 50/100 = $0.5
Cost of meat per pound = $1.50

If x is the number of cartons of milk bought, then
Number of loafs = x/2
Number pf boxes of cereals = x/2 +1
Number of pounds of meat = x/2 +1

Therefore,
0.7*x + 0.6*x/2 + 0.5 (x/2+1) + 1.5 (x/2+1) = 10
0.7x + 0.3x + 0.25x + 0.5 + 0.75x + 1.5 = 10
2x + 2 =10
2x = 8
x = 4

Substituting;
Milk cartons = 4
Number of bread = 4/2 = 2
Boxes of cereals = 2+1 = 3
Pounds of meat = 3
8 0
3 years ago
6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Whitepunk [10]

Answer:

6. C. 16.64 km

7. B. P 216.00

8. B. P 565 425

9. C. 0.27

10. D. 24.6875

11. B. 3 kg

12. B. ratio

13. A. Proportion

14. D. 6:10

15. B. 2:3

Step-by-step explanation:

6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?

Speed = 5.12km/hr

Time = 3.25 hr

To find the distance;

Distance = speed * time

Distance = 5.12 * 3.25

Distance = 16.64 km

7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?

Quantity = 48 pencils

Cost price = P 4.50

To find the total selling price;

Total = quantity * cost price

Total = 48 * 4.50

Total = P 216

8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they

pay?

Quantity = 125.65 m²

Cost price = P 4500

Total price = 125.65 * 4500

Total price = P 565425

9. What is 2.7/10 = 0.27

10. What is 98.75/4 = 24.6875

11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar

contain?

Mass = 63 kg

Amount = 21 jars

Each jar = 63/21 = 3 kg

12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

13. Proportion: It is a statement that two ratios are equal.

14. What ratio is equal to 3:5?

We would multiply both ratio by 2

3:5 * 2 = 6:10

15. What ratio is proportional to 4:6?

We would divide both ratio by 2

4:6 / 2 = 2:3

7 0
2 years ago
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