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kirill [66]
2 years ago
10

what is the general equation of cosine function with a amplitude of 3 a period of 4pi and a horizontal shift of - pi

Mathematics
2 answers:
drek231 [11]2 years ago
5 0

Answer:

The answer is C

Step-by-step explanation:

I just took the test

kicyunya [14]2 years ago
4 0
The general form of such an equation will be
f(x)=A\cos\left(\dfrac{2\pi(x-B)}{C} \right)+D
where
  A = amplitude (3)
  B = horizontal shift to the right (-π)
  C = period (4π)
  D = vertical offset (0)

Your equation will be ...
f(x)=3\cos\left(\dfrac{x+\pi}{2}\right)

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The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determin
frez [133]

Answer: 2\dfrac13\text{ miles per hour}

Step-by-step explanation:

Given: Distance traveled by Smith = \dfrac23 mile.

Time taken = \dfrac27  hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

=\dfrac23\div\dfrac27

\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}

Unit rate  = 2\dfrac13\text{ miles per hour}

6 0
3 years ago
The solution of a system of linear equations is (4,-2).
Romashka [77]
Y=-x+2
2y=x-8
these two lines both go through the point (4,-2)
solve: substitute the y in the second equation with (-x+2):
2(-x+2)=x-8
-2x+4=x-8
add 2x on both sides:
4=3x-8
add 8 on both sides: 12=3x
divide by 3 on both sides: x=4.
find y: y=-x+2=-4+2=-2
the solution is (4,-2)
3 0
2 years ago
Round each mixed number to the nearest whole number and then estimate the difference. 18 9/11 - 8 3/8
mel-nik [20]

Answer:

18 9/11 rounded to the nearest whole number is 19 and 8 3/8 rounded to the nearest whole number is 8 so 19 - 8 = 11

Hope this helps :)

5 0
2 years ago
Read 2 more answers
Help me please please
snow_lady [41]

Answer:

Step-by-step explanation:

Number 2 first:

See the graph below for a hint. (Do you know how to use Desmos ?)

factoring seems to make no sense for y =-x^{2} +2x +4  but "guess and check" seems to work. I tried 4 for x, but that proved false. 3 for x made sense. You get -3x^{2} +2(3) +4 =y  so -9 +6 +4 = 1 is true.  So (3,1)

x+y=4 becomes 3 + 1 = 4  Also true

According to the graph, (0,4) would also be a solution, so (3,1) and (0,4)

Part 1:

Factor x^{2} +4x +3  as (x + 3)(x + 1) set each equal to 0 and get

x = -3 and x = -1  so the solutions seem be (-3,0) and (-1,0)

y = 2x + 6  factors to 2(x +3)

(-1,0) doesn't work!

But Desmos shows something else as a solution set for both:

(1,8)

y=2x+6 substitute values 8=2(1) +6  8=2+6 True

y = x^{2} +4x +3. Substitute values  8 =1^{2} +4(1) +3  8= 1+4+3 True

7 0
2 years ago
Does anybody know the answer to this? The answer key says it's 5, but I think it's 10.
dangina [55]

Answer:

It is 10 you were right

Step-by-step explanation:

because if each one is 1/2 then each 2 is 1 then all the shape is 10

4 0
3 years ago
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