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katrin2010 [14]
3 years ago
10

Is (x+7) a factor of f(x) x3-3x2+ 2x-8?

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

(x+7) is not a factor

Step-by-step explanation:

we know that

If (x+7) is a factor of f(x)

then

For x=-7, f(-7)=0

Verify

we have

f(x)=x^{3}-3x^{2} +2x-8

Substitute x=-7

f(-7)=(-7)^{3}-3(-7)^{2} +2(-7)-8

f(-7)=-343-147 -14-8

f(-7)=--512

-512\neq 0

therefore

(x+7) is not a factor

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Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.
KengaRu [80]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 8 expressions are not given.

The general explanation is as follows

As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.

Then you categorize each result, depending on if it equals 5^{10} or not

Take for instance:

5^5 * 5^5

Using law of indices:

5^5 * 5^5 = 5^{5+5

5^5 * 5^5 = 5^{10 ---- equivalent

\frac{5^5 + 5^5}{2 * 5^{-5}}

Factorize the numerator

\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1  + 1)}{2 * 5^{-5}}

\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}

Cancel out 2

\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}

Apply law of indices

\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}

\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}

\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10 ---equivalent

125 * 78125

Express as exponent

125 * 78125  = 5^3 * 5^7

Apply law of indices

125 * 78125  = 5^{3+7

125 * 78125  = 5^{10 ---- equivalent

5^3 + 5^7

Solve exponents

5^3 + 5^7 = 125 + 78125

5^3 + 5^7 = 78250 ---- not equivalent

4 0
3 years ago
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes. On Monday, the bake
jek_recluse [69]
Turn the percentage into a decimal.
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Then multiply it with your no.
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7 0
3 years ago
Help me out some one
Olegator [25]
Y = mx + b is the slope-intercept form of the equation of a line,
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In problems 1 and 3, your equations are written in the y= mx + b form, so you can read the slope and y-intercept directly.

1.
m = -5/2
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3.
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5.
For problem 5, you need to solve for y to put the equation
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for problems 1 and 3.

4x + 16y = 8

16y = -4x + 8

y = -4/16 x - 8/16

y = -1/4 x - 1/2

m = -1/4

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7 0
4 years ago
on Tuesday at low tide the water was 17 ft below sea level. Then it rained for three days and the water level rose 20 feet. On S
Bas_tet [7]
29 feet because 17 + 20 - 5 - 3 = 29
6 0
3 years ago
Answer this please :D but bot kokes serious answers
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