Answer:
(-∞, -5/2) ∪ (1, ∞)
Step-by-step explanation:
"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.
It is increasing again from the local minimum on the right to the right side of the graph.
The two sections where the graph is increasing are ...
(-∞, -5/2) ∪ (1, ∞)
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The graph is <em>decreasing</em> between the maximum on the left and the minimum on the right.
Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
Answer:
B
Step-by-step explanation:
Given
sinΘ = 
, then
Θ = 
( ) = 45° → B
Answer:
slope is 5
Step-by-step explanation:
y=mx + b
y=5x =2
m = slope therefore is 5
Answer:
435.73 revolutions per minute
Step-by-step explanation:
Find the circumferance of the wheel.
27 times π which is 84.823 inches
divide that by 12 to get it into feet, 7.061 feet
Divide by 5280 to get that to miles, 0.001 miles
Divide 35 by 60 to get how many miles per minute the car travels, 0.583
Divide your miles per minute by the diameter of wheel
Your answer will be 435.73 Revolutions per Minute
