MATHEMATICS HIGH SCHOOL

Identify which property of equality is used to transform Equation 1 to Equation 2.Equation 1: x – 6 = 14
Equation 2: x = 20

A.
multiplication property of equality

B.
division property of equality

C.
subtraction property of equality

D.
addition property of equality

Answers

Answer 1

Answer: D. addition property of equality

That will be your 100% sure answer!

Answer 2

Answer:

Answer:

$\boxed{D.}$

Step-by-step explanation:

On A.- Multiplication property of equality is multiplying both sides of an equation by the same number it does not change the equation.

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On B. - Division property of equality is dividing both sides of an equation by the same non-zero number it does not change the equation.

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On C.- Subtraction property of equality is subtracting the same number from both sides of an equation it does not change the equation.

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On D.- Addition property of equality is adding the same number to both sides of an equation it does not change the equation.

x-6=14

First you had to add by six from both sides of an equation form.

x-6+6=14+6

Then simplify by equation.

x=20

Final answer: $\boxed{x=20}$

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Hope this helps!

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-Charlie

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If f(x)=8sin^6x - cos^2x. Find f'( $\pi /4$ .

Answers

f'(x) = 48(sin(x))^5*cos(x)- 2cos(x)(-sin(x))
= 48(sin(x))^5*cos(x)+ 2cos(x)sin(x)

f'(π/4)= 48(sin(π/4))^5*cos(π/4)+ 2cos(π/4)sin(π/4)=7.

The final answer is 7.

Hope this helps~

Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the end behavior.

Answers

in the form
f(x)= $ax^(n)+bx^(n-1)...+z$
a=leading term,
z=contstant aka y intercept

this is 3rd degree (highest term is x^3) with leading term positive so the graph goes from bottom left to top right
x intercept is when y=0 so
0=x^3-15x^2+68x-96
factor
(x-8)(x-4)(x-3)
these are your roots aka zeroes (where the line crosses the x axis)
the roots are
(x-r) where r=root aka x intercept

so we have
(x-8)(x-4)(x-3)
roots are
8,4,3
x intercepts are 8,4,3 or (8,0),(4,0),(3,0)

y intercept is when x=0 so just get rid of all x terms and we are left with
-96
aka y intercept=(0,-96)

x intercepts=(8,0),(4,0),(3,0)
y intercept=(0,-96)
end bhavior is graph goes from bottom left to top right

Find the midpoint of the segment with the following endpoints. (6, 4) and (9,9)