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makkiz [27]
2 years ago
8

Please help solve this SAT math problem. I have 4 more like these so need help with this so that I can solve the rest by myself.

Thank you.

Mathematics
1 answer:
stealth61 [152]2 years ago
8 0

The notation just means

(f/g)(-4) = f(-4) / g(-4)

If f(x) = x² + 2 and g(x) = 1 - 3x, then

f(-4) = (-4)² + 2 = 16 + 2 = 18

g(-4) = 1 - 3 (-4) = 1 + 12 = 13

and so

(f/g)(-4) = 18/13

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Rachel is bowling with her friends. her bowling ball has a radius of 4 inches. as she bowls she tracks the location of the finge
Goshia [24]

Question Continuation

The finger hole changes by 45 degrees.

Define a function, f, that gives the height of the finger hole above the ground (in inches) in terms of the angle of rotation (measured in radians) it has swept out from the 12 o'clock position.

Answer:

f(θ) = r(1 + cos(θ)) for 0 ≤ θ ≤ π/4

Step-by-step explanation:

Given

Let represent radius

r = 4 inches

Considering that she starts tracking the location when the finger hole is at the 12 o'clock; this means that the angle measurement at this point is 0°.

Let θ represent the angle

At 12 o'clock mark

θ = 0

When the finger hole changes by 45 degrees

θ = 45°

Convert 45° to radians

θ = 45° * π/180

θ = π/4

So, angle θ is such that θ∈[0, π/4]

This can be represented as

0 ≤ θ ≤ π/4

Calculating the measure of f(θ) in polar coordinates

When θ = 0, f(θ) = r (i.e. the current position of the bowl)

When θ = π/2, f(θ) = rcosθ

This is so because f(θ), being the function of the height is a measure of the radius* cos(θ)

Taking measurement of f(θ) from 0 to π/2

f(θ) = r + rcosθ

f(θ) = r(1 + cos(θ))

So, f(θ) = r(1 + cos(θ)) for 0 ≤ θ ≤ π/4

7 0
3 years ago
Can someone plz help i dont understand...<br><br><br> WILL MARK BRAINLIEST!!!!
victus00 [196]
What’s the question
3 0
3 years ago
What polynomial has a graph that passes through the given points? (-2, 2) (-1, -1) (1, 5) (3, 67) A. y = -x3 + 4x2 + 2x - 2 B. y
LekaFEV [45]
An easy this to do is use desmos... an online graphing site that will allow you to graph the curves and points... 

https://www.desmos.com/calculator

The alternate method is to subsitute each point into each equations... 

I just did (-2, 2) into A... that point is not on the curve.. that would be the hard way. Subsituting x = -2  y = 18 so (-2, 2) isn't on the curve. 

so eliminate A

repeat the process with B etc   is (-2, 2) in on the curve, then select the next point and check. 

That's why graphing is easier
4 0
3 years ago
Read 2 more answers
How to find the area of a heptagon?
Leona [35]
Regular heptagonSolve for <span>area

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https://www.google.com/search?sourceid=chrome-psyapi2&rlz=1C1ZQQI_enUS697US697&ion=1&espv=2&ie=UTF-8&q=area%20of%20a%20heptagon%20formula&oq=area%20of%20a%20heptagon&aqs=chrome.1.69i57j0l5.4065j0j7

https://www.google.com/search?sourceid=chrome-psyapi2&rlz=1C1ZQQI_enUS697US697&ion=1&espv=2&ie=UTF-8<span>&q=area%20of%20a%20heptagon%20formula&oq=area%20of%20a%20heptagon&aqs=chrome.1.69i57j0l5.4065j0j7</span>
5 0
3 years ago
Use the digits 1,3,4,and 7 to create two whole numbers whose product is estimated to be about 600
blagie [28]
34 x 17  (round the 2 numbers)
30 x 20
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Also, 34 x 17 = 578, which rounds to 600


The answer is 34 and 17

7 0
3 years ago
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