3 years ago

Solve for x. A.40 B.55 C.20 D.35

Mathematics

1 answer:

fomenos3 years ago

3 0

Answer:

Step-by-step explanation:

The angles are vertical angles which means they are equal

60 = 2x+20

Subtract 20 from each side

60-20 = 2x+20-20

40 =2x

Divide by 2

40/2 = 2x/2

20 =x

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Find the difference of functions s and r shown below. r(x) = -x² + 3x s(x) = 2x + 1 ( s-r)(x)=

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Answer:

Part 1)

$(s-r)(x)=(2x+1)-(-x^2+3x)$

Part 2)

$(s-r)(x)=x^2-x+1$

Step-by-step explanation:

Part 1)

So we have the two functions:

$r(x)=-x^2+3x\text{ and } s(x)=2x+1$

And we want to find:

$(s-r)(x)$

This is the same as:

$=s(x)-r(x)$

Substitute:

$=(2x+1)-(-x^2+3x)$

So, our answer for Part A is:

$=(2x+1)-(-x^2+3x)$

Part 2)

Let's find our difference.

Distribute the -1:

$=(2x+1)+(x^2-3x)$

Combine like terms:

$=(x^2)+(2x-3x)+(1)$

Add:

$=x^2-x+1$

And we're done!

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