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Rufina [12.5K]
3 years ago
5

Write a cosine function that has a midline of 3, an amplitude of 4 and a period of pi.

Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0

Step-by-step explanation:

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The distance traveled by a certain vehicle varies directly to the amount of fuel the vehicle consumes. The vehicle traveled 90 m
olga_2 [115]

Answer:

The vehicle covers 126 miles on 7 gallons of fuel.

Step-by-step explanation:

Given:

The distance traveled is directly proportional to the amount of fuel.

For F gallons of fuel distance traveled D miles can be given as:

D ∝ F

D=kF

where k is constant of proportionality.

The vehicle covers D=90 miles on F=5 gallons.

So

90=k(5)

Dividing both sides by 5.

\frac{90}{5}=\frac{k(5)}{5}

18=k

∴ k=18

When F=7 gallons

D=(18)(7)

D=126 miles

∴ The vehicle covers 126 miles on 7 gallons of fuel.

4 0
3 years ago
What is the equation of the line shown in the graph?
iris [78.8K]

Your answer is Y= 2x (a) + 4 (e)  

The y intercept is 4 and the slope is 2

7 0
3 years ago
Factor 70q+60. Write your answer as a product with a whole number greater than 1.
faltersainse [42]

Answer:

10(7q + 6)

Step-by-step explanation:

  1. Find the GCF of 70 and 60: 10
  2. Divide each number by 10 (steps shown below)
  3. 70q ÷ 10 = 7q
  4. 60 ÷ 10 = 6
  5. Re-write the expression with 10: 10(7q + 6)

I hope this helps!

7 0
3 years ago
What is f(x) - g(x)<br> f(x)=x^2 + 2x - 5<br> g(x)= -3x^2 - 4x + 1
Natasha2012 [34]

Answer:

f(x)=(−1,−6)

g(x)=(−2/3,7/3)

Step-by-step explanation:

What are we finding the vertex

4 0
3 years ago
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How do i find sin^-1(cos(pi)) and answer in radians in terms of pi
vaieri [72.5K]
We have to find sin^(-1) ( cos π ).
cos π = cos 180° = - 1
sin^(-1) ( - 1 ) = 270° = 3 π / 2
Answer:
sin ^
sin^(-1)( cos π ) = 3 π / 2 
7 0
3 years ago
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