All categories

3 years ago

У = 3(х – 4)2 – 8 How do you write this in standard form

Mathematics

1 answer:

aniked [119]3 years ago

5 0

Answer:

$y = 3x^2-24x+40$

Step-by-step explanation:

Hi there!

Standard form: $y=ax^2+bx+c$

$y = 3(x-4)^2-8$

Solve $(x-4)^2$

$y = 3(x^2-8x+16)-8$

Multiply 3 by the parentheses

$y = 3x^2-24x+48-8\\y = 3x^2-24x+40$

I hope this helps!

You might be interested in

To make 4.5 cups of fruity granola, the recipe calls for 1.5 cups of raisins, 1 cup of granola, and 2 cups of blueberries. If yo

Levart [38]

Answer:

you need 6 cups of raisins, 4 cups of granola and 8 cups of blueberries.

Step-by-step explanation:

Step 1: Find how much raisins are needed

For 4.5 cups of fruity granola, we need 1.5 cups of raisins

For 18 cups of fruity granola, we need y cups of raisins

4.5 : 1.5

18 : y

Cross multiply

4.5y = 1.5 x 18

y = 27/4.5

y = 6 cups of raisins

Step 2: Find how much granola is needed

For 4.5 cups of fruity granola, we need 1 cup of granola

For 18 cups of fruity granola, we need y cups of granola

4.5 : 1

18 : y

Cross multiply

4.5y = 18

y = 4 cups of granola

Step 3: Find how much blueberries are needed

For 4.5 cups of fruity granola, we need 2 cups of raisins

For 18 cups of fruity granola, we need y cups of blueberries

4.5 : 2

18 : y

Cross multiply

4.5y = 2 x 18

y = 36/4.5

y = 8 cups of blueberries

Therefore, in order to make 18 cups of fruity granola, you need 6 cups of raisins, 4 cups of granola and 8 cups of blueberries.

5 0

3 years ago

A store is having a 20% off sale on all merchandise. If Mai buys one item and saves 13$, what was the original sale price of her

Montano1993 [528]

Answer:

$65 is the original price

Step-by-step explanation:

65 x .8 = 52 which is 13 off

4 0

3 years ago

the distance from jeffreys bay knysna is 198km .A driver is 11:at knysna. calculate the drivrs average speed

zavuch27 [327]

Answer:

18km/[unit of time]

Step-by-step explanation:

v (speed) = d/t

v = 198/11

v = 18

8 0

2 years ago

She's going to bake 12 batches of cookies. Each batch requires 1/8 cup of sugar. How many cups of sugar will grandma need for al

NikAS [45]

1.5 cups of sugar

>>

1/8 cup PER batch * 12 batches
(1/8)*12 = 1.5 cups

7 0

2 years ago

I don’t understand pls help!!

mezya [45]

Answer:

7.9 m

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

This formula can be used to solve a side of any right (90°) triangle.

c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)

So, c = 32m.

Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:

31² + b² = 32²

961 + b² = 1024 Subtract 961 from both sides to get b² by itself.

b² = 63

√b² = √63 Square root both sides to get b by itself.

b = 7.93725

Answer is 7.9 meters, rounded to tenths place

3 0

3 years ago