7. We know that they must all add up together to get 90 degrees because of the symbol show the right angle.
We can use this to form and solve an equation:
2x +1x + 30 = 90
3x+30 = 90 (add the x's together)
3x = 60 (subtract both sides by 30 to get the x's alone)
x =20 (divide by 3 to get what 1x is equal to)
(The next question is very similar)
8. To solve this, we need to know what all the x's together are equal to.
Since angles on a straight line add up to 180 degrees -we can make an equation:
4x+x+30 = 180
5x + 30 +180 (add all the x's together)
5x = 150 (subtract both sides by 30 to get what 5x is equal to)
x = 30 (divide by 5 to get what just 1x is)
Hoped this helped - please ask if anything doesn't make sense!
F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2
The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.
In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
The answer is a)(-3,17),(2,-8)
Answer:
The indifference point is 200 miles
Step-by-step explanation:
<u>First, we need to establish the total cost formula for each company:</u>
Pack and Go:
Total cost= 39.95 + 0.45x
x= miles driven
U-Drive:
Total cost= 59.95 + 0.35x
x= miles driven
<u>Now, we equal both formulas and isolate x:</u>
39.95 + 0.45x = 59.95 + 0.35x
0.1x = 20
x= 200 miles
The indifference point is 200 miles
u just have to flip the signs,
the answer is C
