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3 years ago

If f(x)=x^3+3x+5 what is f(a+h)

1 answer:

4 0

F(x) = x^2 +3x + 5. For f( 3+h), put x = 3+h. F( 3+h)= (3+h) ^2 + 3 (3+h) +5 = 9 +h^2 + 6h + 9 + 3h + 5 = h^2 + 9h + 23. .

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How to solve the equation for the indicated variable: a-6[b-3(c-x)], for x.

Brilliant_brown [7]

6b-18c+18x is simplified for you

4 0

3 years ago

-k(-4k^2+k+2) Best one and simplest one gets the brainliest, I'm In a rush.

sasho [114]

Answer:

4k^3 - k^2 - 2k

Step-by-step explanation:

-k * -4k^2 = 4k^3

-k * k = -k^2

-k * 2 = -2k

4k^3 - k^2 - 2k

4 0

3 years ago

Read 2 more answers

Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor

Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

Solution:

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is $\frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }$

If they work together they can do the entire prospectus in five hours

$\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}$

On cross-multiplication we get,

$\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}$

$\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}$

On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0

3 years ago

Prove that A is a subset of B if and only if B complement is a subset of A complement.

WITCHER [35]

Please read the attached file

3 0

3 years ago

On Friday, Oscar sold 2 pitchers of lemon are from his lemonade stand. On Saturday, he sold 1/2 as much lemonade as on Friday. H

Ann [662]

Answer:

The correct answer is 1 pitcher.

Step-by-step explanation:

Oscar sold 2 pitchers of lemon are from his lemonade stand on Friday.

On Saturday, he sold $\frac{1}{2}$ as much lemonade as on Friday.

The number of pitchers of lemon from the lemonade stand which Oscar sold on Saturday is given by $\frac{1}{2}$ × 2 = 1 pitcher.

Thus Oscar sold 1 pitcher on Saturday which is half of the number of pitchers of lemon he could sell on Friday.

4 0

3 years ago