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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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Jlenok [28]

Histograms are useful when we have data which can be divided into several classes or groups. The histogram shows the trend of each class and the trend among the different classes. For example when we have about 50 different values ranging from 1 to 20, it will be a better approach to draw a histogram in this case by dividing the data into small ranges e.g 1 to 4, 5 to 9 and so on and counting the frequency for each class.

Dot plot is useful when we have a small number of individual values. In this case we can visualize how many times each individual value occurred in the data. This is useful when the number of values in the data is less.

In the given scenario, we have 12 values in total ranging from 1 to 5. So making a dot plot would be the best choice. A histogram would not be useful in this case.

Therefore, the correct answer is option D. Dot plot, because a small number of scores are reported individually

7 0
3 years ago
Read 2 more answers
Given a scalene triangle with whole number angle measurements, what is the greatest sum possible of the two smallest angles?
Olegator [25]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define scalene triangle

A Scalene Triangle is any triangle with unequal sides. This means that, in a scalene triangle, all of the three sides and angles are different lengths, just like in the illustration below. This also means that each angle has to be different.

STEP 2: Get the greatest sum possible of the two smallest angles

Since the measures of the angles of the triangle are different whole numbers , for the sum of the two angles to be the least possible, one of the angles must be smallest whole number i.e 1°

Now, the next smallest angle will be the next angle of a whole number that is not 1 degree, i.e, 2 degrees.

Thus, the greatest possible sum of the measures of two smallest angles will be:

1^{\circ}+2^{\circ}=3^{\circ}

Hence, the greatest sum possible of the two smallest angles is 3 degrees

7 0
1 year ago
If UW =9x-9, what is UW in units
mash [69]

Answer:

if UW = 9x-9 then UW is 5 in units

8 0
2 years ago
Số nào sau đây là nghiệm của đa thức x^2-2x+1
creativ13 [48]

x^{2}-2x+1=0

(x-1)^{2}=0

x-1=0

x=1

7 0
3 years ago
Areas of circles and sectors
77julia77 [94]

Answer:

Multiply both numbers, sorry i can't see the numbers properly or i'd have answer the question myself.

Step-by-step explanation:

Remember area is B times H divided by 2.

So, don;t forget to dicide by 2.

3 0
3 years ago
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