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JulsSmile [24]
4 years ago
10

How do you convert p(x) = -8x^2 - 64x to vertex form?

Mathematics
1 answer:
ICE Princess25 [194]4 years ago
5 0

Answer:

p(x)=-8(x+4)^2+128

Step-by-step explanation:

Given, p(x)=-8x^2-64x

Take -8 factor common,

p(x)=-8(x^2+8x)

which can be written as

p(x)=-8(x^2+2 \times 4x)

Add and subtract by 16 inside bracket,

p(x)=-8(x^2+2 \times 4x+16-16)

p(x)=-8((x^2+2 \times 4x+4^2)-16)

p(x)=-8((x+4)^2-16)

p(x)=-8(x+4)^2+8 \times 16

p(x)=-8(x+4)^2+128

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4. Find the volume of the figure. The base is a square.
GREYUIT [131]

Answer:

A) 283500 ft³

B) 1057.26 π in³

Step-by-step explanation:

A) Volume of square based pyramid

= 1/3 × Area of the base × height

= 1/3 × (90 ft)² × 105 ft

= 283500 ft³

B) This figure is a composite figure

Step 1

Find the volume of the cone

=1/3 πr²h

r = radius = 8.5 in

h = height = 10 in

= 1/3 × π × (8.5 in)² × 10 in

= 240.83333333 π in³

≈ 240.83 π in³

Step 2

Find the volume of the cylinder

= πr²h

= r = radius = 8.5 in

h = height = 11.3 in

= π × (8.5 in)² × 11.3 in

= 816.425 π in³

≈ 816.43π in³

Volume of the figure = (240.83 π + 816.43 π) in³

= 1057.26 π in³

7 0
3 years ago
What is the slope of side AC?
Alexxandr [17]

Answer:

The slope is  ( d-b)/ ( c-a)

Step-by-step explanation:

To find the slope we can use the slope formula

m = ( y2-y1_/(x2-x1)

  = ( d-b)/ ( c-a)

4 0
3 years ago
For the soccer banquet, the players and their family members selected their favorite main dish and side dish. Of the 39 people w
Oduvanchick [21]

Question:

For the soccer banquet, the players and their family members selected their favorite main dish and side dish. Of the 39 people who chose chicken as the main dish, 18 wanted potatoes. Of the 32 people who chose rice as a side dish, 6 chose fish as a main dish. A total of 8 people chose a vegetarian meal with potatoes, and a total of 10 people chose fish as their main dish.

Which two-way table correctly displays this data?

a. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 21, 39. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 5, 13. The fifth column is labeled total with entries 30, 32, 62.

b. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.

c. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 14, 18, 32. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 19, 8, 27. The fifth column is labeled total with entries 39, 30, 69.

d. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 14, 32. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 19, 27. The fifth column is labeled total with entries 30, 39, 69.

Answer:

b. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.

Step-by-step explanation:

The question above is a two way table because it consists of two tables that are arranged in a column and row format or design.

A two way table is a table that up of values or numbers or frequencies for two variables. One of the variables is placed in a column while the other is placed in a row.

In the question above, we where given two variables, variable one is the main dish while variable two is the side dish. The proper way to display the data correctly is to

Create a 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.

Therefore, Option b. is the correct option.

5 0
4 years ago
Read 2 more answers
If there are 36 fish, how many fish represent 2/3 of the fish ?
saveliy_v [14]

Answer:

To make the answer to 36 divided by 2/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

108 / 2 = 54  

Step-by-step explanation:

I am so sorry if i am wrong

3 0
3 years ago
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Need help with this problem
alisha [4.7K]

Answer:

Trinomial factoring, I think.

Step-by-step explanation:

4 0
3 years ago
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