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2 years ago

Please help with POWER FUNCTIONS!!!!!

Mathematics

1 answer:

grigory [225]2 years ago

7 0

First answer, both functions are parabolas (bowl shaped) that curve upward. The 3 makes (1/3)f(x) = g(x) the graph narrower.

36 = a(3)^2
36 = 9a
36/9 = a
4 = a

f(x) = 4x^2

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(10.02)

melisa1 [442]

Answer:

$sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}$

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

$Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}$

Therefore:

$sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}$

$cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}$

$Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}$

4 0

2 years ago

Simplify.

Dafna1 [17]

Answer:

A) 7x^3 + 13x^2 + 8x + 9

Step-by-step explanation:

(3x^2 + 2x + 7x^3) + (10x^2 + 6x + 9)

I like to line them up vertically

7x^3 +3x^2 + 2x

+ (10x^2 + 6x + 9)

-----------------------------------

7x^3 +13x^2 +8x +9

4 0

3 years ago

Read 2 more answers

rowan has a bag with 15 pencils in it. There are 7 green pencils, 2 blue pencils, 3 orange pencils, 1 red pencil and 2 purple pe

IceJOKER [234]

WHAT IS PERCENT DO THE PERCENT CHANT! SPREAD THIS

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2 years ago

Evaluate the given expression.

AleksAgata [21]

I believe the answer is B

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2 years ago

Which of the binomails below is a factor of this expression

hoa [83]

D:11a+8b and the other factor would be 11a-8b

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3 years ago