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Sedaia [141]
3 years ago
13

Using the distributive property to find the product (y – 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y

2 – ay – 64. What is the value of a in the polynomial?
Mathematics
1 answer:
Crank3 years ago
8 0

Answer:

The answer to your question is a = 16

Step-by-step explanation:

Polynomial

                  (y - 4) (y² + 4y + 16)

Process

1.- Multiply y by each term of the polynomial

                y(y² + 4y + 16) = y³ + 4y² + 16y

2.- Multiply -4 by each term of the polynomial

                -4(y² + 4y + 16) = -4y² - 16y - 64

3.- Write both results

                y³ + 4y² + 16y - 4y² - 16y - 64

In bold we notice that a = 16

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Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
Feliz [49]

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = \frac{1}{4}x

Sweets given to Raji = 5

Remaining sweets = 7

x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16

6 0
3 years ago
What is the approximate volume of a basketball with the circumference of 42ft ?
Semmy [17]
We know that

[volume of a sphere]=(4/3)*pi*r³

length of a circumference=42 ft
[length of a circumference]=2*pi*r-------> r=[length of a circumference]/(2*pi)
r=[42]/(2*pi)---------> r=6.6845 ft

[volume of a sphere]=(4/3)*pi*6.6845³-----------> 1251.11 ft³

the answer is 1251.11 ft³
4 0
3 years ago
Fruit -o- Rama sells dried pineapple for $0.25 per ounce.Mags spent a total of $2.65 on pineapple. How many ounces did she buy?
Andrews [41]

The answer is 10.6 oz.

2.65 / 0.25 = 10.6

Hope this helps! If so, please mark brainliest!

4 0
3 years ago
Read 2 more answers
What is the length and width of a 864 square feet
spayn [35]
The area doesn't tell you the dimensions. There are an infinite number of different answers, all with the same area but different dimensions.
Here are a few:
1 ft by 864 ft
2 ft by 432 ft
3 ft by 288 ft
4 ft by 216 ft
8 ft by 108 ft
16 ft by 54 ft
24 ft by 36 ft
27 ft by 32 ft.

The area of each of these is 864 square feet.
3 0
3 years ago
Solve 5^2x+1-5^2x=150 with steps
tiny-mole [99]

Answer:

x = 2.98

Step-by-step explanation:

5^2x + 1 - 5^2x = 150

25x + 1 + 25x = 150

50x + 1 = 150

50x = 149

x = 2.98

5^2x + 1 - 5^2x = ?

5^2(2.98) + 1 - 5^2(2.98) = ?

25(2.98) + 1 + 25(2.98) = ?

74.5 + 1 + 74.5 = ?

149 + 1 = ?

150 = ?

4 0
3 years ago
Read 2 more answers
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