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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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Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at
garri49 [273]

Step-by-step explanation:

Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.

From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990

and 25% of  $11,990 is

(25/100)* 11,990

0.25* 11,990

$2997.5

So you can make a down payment of $2997.5

and pay the remainder of $8992.5 later

6 0
3 years ago
F(x)=2x+1 and g(x)=x^2-7, find (f g) (x)
hodyreva [135]

The answer is (f o g)(x) = 2x^2 - 13

In order to find a composite function, you take the first letter (in this case f) and use that equation. You then remove the variable and put in the second letter (g).

f(x) = 2x + 1 ----> Remove variable.

f(x) = 2(      ) + 1 ----> Insert g(x)

(f o g)(x) = 2(x^2 - 7) + 1 ----> Distribute

(f o g)(x) = 2x^2 - 14 + 1 ----> Simplify

(f o g)(x) = 2x^2 - 13

5 0
3 years ago
Please Help). Use the figure below to answer the questions. A) Describe in words a sequenc of transformations that maps □ABC to
lesya [120]

Answer:

See below

Step-by-step explanation:

The initial ordered-pairs are (x, y)

We have a rotation of 90 degrees counterclockwise with respect to origin

Note. Previously the points were

A(-3, 4), B(-3, 0), C(-1, 3)

After the rotation, we have

A(-4, -3), B(0, -3), C(-3, -1)

Thus, (x, y) \rightarrow (-y, x)

Then shifting horizontally to the right 2 units, we get ΔA'B'C'

Thus,

(x, y) \rightarrow (-y, x) \rightarrow (x+2, y)

7 0
3 years ago
Best Buy claims that 68% of people that walk into one of their stores end up not purchasing an item. To test this, they randomly
Tema [17]

Answer:

Yes.

Step-by-step explanation:

As long as the individual's that have been selected as part of the study were actually selected randomly then yes. If there was no bias or other external factors affecting the probability of getting chosen then these individual's would clearly represent the entire population of Best Buy customers. Therefore, if the data gathered from these individuals results in being 68% of that population that does not buy anything then this would result in a valid claim by Best Buy.

5 0
3 years ago
The two objects are the same height, and the cylinder is just wide enough for the the box to fit inside with all 4 vertical edge
OLEGan [10]

Answer:

The answer is below

Step-by-step explanation:

The volume of a box with a length of l, width of w and a height of h is given by the formula:

volume of the box = length * width * height = lwh

The volume of a cylinder with a height of h, and radius r is given by the formula:

volume of the cylinder = π * radius² * height = πr²h

Since the box and the cylinder have the same height and the cylinder is wide enough for the box to be placed inside, this means that the box has a volume greater than that of the cylinder. Hence:

If the box can take 8 cups, the cylinder would be able to take 10 cups.

7 0
3 years ago
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