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3 years ago

Chose all possible zeros of the polynomial of h(x)=5x3 - 5x - 10x.

Mathematics

1 answer:

Andrew [12]3 years ago

3 0

Answer:

The possible zeros/roots of the polynomial are

$x = 0\\x=-\sqrt{3} \\ x=\sqrt{3}$

Step-by-step explanation:

$h(x)=5x^3 - 5x - 10x$

$h(x)=5x^3 -15x$

$h(x)=5x(x^2 -3)$

When $y= 0$

$0=5x(x^2 -3)$

$5x = 0 \implies x = 0$

$x^2 - 3 = 0 \implies x=\pm\sqrt{3}$

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Perform the indicated operations. Express the result in scientific notation. (5.7 × 105) + (4.6 × 106) – (2.9 × 105)

alex41 [277]

Answer:

1.3905 × 10^4

Step-by-step explanation:

First you should multiply all the two numbers inside the parentheses

5.7 × 105=598.5

4.6 × 106=487.6

2.9 × 105=304.5

Now add the three numbers

598.5+487.5+304.5= 1390.5

scientific notation: Put the decimal after the first digit. To find the exponent count the number of places from the decimal to the end of the number.

the answer in scientific notation: 1.3905 × 10^4

8 0

3 years ago

Which expression is equivalent to 36^-1/2

inn [45]

ANSWER

$( {36})^{ (- \frac{1}{2}) } = \frac{1}{6}$

EXPLANATION

The given expression is

${36}^{( - \frac{1}{2} )}$
This is having a negative index. We must first of all change to a positive index.

Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

We apply this law of exponents to get,

${36}^{( - \frac{1}{2} )} = \frac{1}{ {36}^{( \frac{1}{2} )} }$

We cab rewrite the given expression to obtain;

${36}^{( - \frac{1}{2} )} = \frac{1}{ \sqrt{36} }$

This will simplify to give us,

${36}^{( - \frac{1}{2} )} = \frac{1}{ 6 }$

6 0

2 years ago

Read 2 more answers

Leon drove 100 miles in 2 hours. Find the constant of variation.

Helga [31]

To find the constant variation, solve for only one hour (in this case).

Divide 100 with 2

100/2 = 50/1

Each hour is 50 miles driven, so your constant variation is 50 mph

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3 years ago

Read 2 more answers