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3 years ago

Find y for x=0,1,2, and 3. y=4-x

Mathematics

1 answer:

LenKa [72]3 years ago

7 0

4 - (0) = y
4 - 0 = 4 y = 4

4 - (1) = y
4 - 1 = 3 y = 3

4 - (2) = y
4 - 2 = 2 y = 2

4 - (3) = y
4 - 3 = 1 y = 1

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Help with 5b please . thank you.

Allushta [10]

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

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3 years ago

Line segment XY has endpoints X(5, 7) and Y(– 3, 3). Find the equation for the perpendicular bisector of line segment XY.

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Answer:b

Step-by-step explanation:

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Aaron is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would b

Ede4ka [16]

Let x represent number of wrong questions answered by Aaron.

We have been given that Aaron is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. We are asked to find Aaron's score (out of 20) if he got 6 questions wrong.

To find Aaron's score, we will subtract number of wrong answers from total score.

$\text{Aaron's score}=\text{Total score}-\text{Number of wrong answers}$

$\text{Aaron's score}=20-6$

$\text{Aaron's score}=14$

Therefore, Aaron's test scores would be 14 out of 20.

To find Aaron's score if he got x questions wrong, we will subtract x from total scores that is $20-x$ .

Therefore, Aaron's score would be $20-x$ , if he got x questions wrong.

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tensa zangetsu [6.8K]

Https://www.calculatorsoup.com/calculators/geometry-solids/surfacearea.php
use this calculator it’s super helpful with lots of these kinds of questions!

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