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3 years ago

What is the value of a in the polynomial

Mathematics

1 answer:

Alexandra [31]3 years ago

5 0

Answer: a= 16

Step-by-step explanation:

We have the following expression:

$(y-4)(y^2 +4y +16)$

To find the value of the coefficient "a" you must use the distributive property to multiply the expression:

$(y-4)(y^2 +4y +16)$

until you transform it to the form:

$y^3 +4y^2 +ay -4y^2 -ay-64$

Then we have

$(y-4)(y^2 +4y +16)\\\\(y^3 +4y^2 +16y -4y^2 -16y-64)\\\\$

Therefore the value of a in the polynomial is 16

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2. Which words could be represented by

MakcuM [25]

Answer:

Step-by-step explanation:

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3 years ago

A triangle has angles that measure 99° and 11°. What is the measure of the third angle?

Thepotemich [5.8K]

Triangle, sum of all 3 angles = 180

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3 years ago

Read 2 more answers

What is the 9th term of the following geometric sequence? 7/9,-7/3,7,-21,63 ??????

dmitriy555 [2]

Given:

The geometric sequence is:

$\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...$

To find:

The 9th term of the given geometric sequence.

Solution:

We have,

$\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...$

Here, the first term is:

$a=\dfrac{7}{9}$

The common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{\dfrac{-7}{3}}{\dfrac{7}{9}}$

$r=\dfrac{-7}{3}\times \dfrac{9}{7}$

$r=-3$

The nth term of a geometric sequence is:

$a_n=ar^{n-1}$

Where, a is the first term and r is the common ratio.

Substitute $a=\dfrac{7}{9},r=-3,n=9$ to find the 9th term.

$a_9=\dfrac{7}{9}(-3)^{9-1}$

$a_9=\dfrac{7}{9}(-3)^{8}$

$a_9=\dfrac{7}{9}(6561)$

$a_9=5103$

Therefore, the 9th term of the given geometric sequence is 5103.

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3 years ago

Find an equivalent ratio 24:9 F 6 to 2 H 36 to 13.5 G 5:12 J 6:5

CaHeK987 [17]

An equivalent ratio of 24:9 is 48:18

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3 years ago

A species of bacteria is 10 micrometers long. A virus is 10,000 times smaller than bacteria. a. Using the table above, find the

miss Akunina [59]

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3 years ago