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2 years ago

How does the graph of f(x) = (x − 8)3 + 4 compare to the parent function g(x) = x3?

Mathematics

1 answer:

USPshnik [31]2 years ago

3 0

Answer:

Hi there!

The difference between f(x) = 3(x-8) +4 and its parent function is: the function has been shifted right eight units and shifted up four units.

Step-by-step explanation:

---anytime there is a number within a parenthesis for example (x-a) or (x+a) means there is a horizontal shift

*subtracting means you shift to the right, adding means you shift to the left.

----The number outside of the parenthesis for example (x)+a or (x)-a means there is a vertical shift

*subtracting means you are shifting down, adding means you are shifting up

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Let AB = 24, AC = 10 and BC = 26.

nata0808 [166]

Answer:

a) 24

b) 10

c) 12/13

d) 5/13

e) 12/5

Step-by-step explanation:

a) We can see that the leg opposite <C is AB, and we are given AB = 24

b) We can see the leg adjacent to <C is AC, and we are given that AC = 10

c) The trig function sine is equal to

$\frac{opposite}{hypotenuse}$

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

$sin(c) = \frac{24}{26} = \frac{12}{13}$

d)The trig function cosine is equal to

$\frac{adjacent}{hypotenuse}$

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

$cos(c) = \frac{10}{26} = \frac{5}{13}$

d)The trig function tangent is equal to

$\frac{opposite}{adjacent}$

The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

$tan(c) = \frac{24}{10} = \frac{12}{5}$

4 0

2 years ago

Completely factor the given expression over the integers. (Correct gets brainliest)

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

would it be 50 because you the q to the power of 2 is 2q. Then you would subtract to the other side of the equation so it would be -100=-2q. After you would divided the -2 in -2q on both sides and -100/-2 is 50. So your answer is q=50

7 0

2 years ago

How many days are there in 6 weeks? Solve the related word problem to represent the inverse operation There are days in 6 weeks

expeople1 [14]

Answer:

there a 42 days in 6 weeks

Step-by-step explanation:

multiply 6 x 7= 42

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2 years ago

Find the value of x and y Please help me. Thank you

STatiana [176]

Answer:

Step-by-step explanation:

let each angle=A

A+A+A=180

3A=180

A=180/3=60°

as the angles are equal so sides are equal.

16+y=46

y=46-16=30

applying sine formula

$\frac{30}{sin z} =\frac{46}{sin~80} \\sin~z=\frac{30}{46} \times ~sin~80=\frac{15}{23} \times sin ~80\\z=sin^{-1}( \frac{15}{23} \times sin ~80) \approx~39.96^\circ \approx40^\circ$

z+x=60

40+x=60

x=60-40=20°

5 0

2 years ago

What is the answer to this

SVEN [57.7K]

Answer:

D) 14.25

Step-by-step explanation:

It's basically saying when you use the ruler to measure something it will measure in 0.25. And will continue on to 0.50, 0.75, 1.00, 1.25, etc..

4 0

1 year ago