The answer is D, the ordered pair (5,3)
Answer:
c =
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to
m =
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)
m = = , then
= ( cross- multiply )
2(c - 4) = - 3
2c - 8 = - 3 ( add 8 to both sides )
2c = 5 ( divide both sides by 2 )
c =
We have been given a graph of the function f(x). Now question says to sketch the following functons
Answer 3.a):
f(x+2)
we know that f(x+h) shifts the graph h units left.
So f(x+2) will shift the graph 2 units left.
Answer 3.b):
f(x-5)
we know that f(x-h) shifts the graph h units right.
So f(x-5) will shift the graph 5 units right.
Answer 3.c):
f(x)+2
we know that f(x)+h shifts the graph h units up.
So f(x)+2 will shift the graph 2 units up.
Answer 3.d):
f(x)-5
we know that f(x)-h shifts the graph h units down.
So f(x)-5 will shift the graph 5 units down.
Check attached picture for the graph of each part.
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In 2nd problem we just need to take 4 times of given x-values from original table as you can see in attached picture
Answer:
The equation is at a rate of -23%.
Step-by-step explanation:
Decay can be represented by the equation . We can find the rate at which it decays by using t=3 hours and A=3000. This means in this context.
After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know so we were able to cancel it out and divide both sides by 3.
We solve with a calculator
We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.
The equation is
Answer:
Almost 125 bats (124.92) can be lined up from home plate to the center field fence.
Step-by-step explanation:
We have a baseball field was measured to be 125 yards from Home Plate to deep center field.
We have to calculate how many baseball bats (91.5 cm in length) could be lined up (end to end) from home plate to the center field fence.
One yard is equivalent to 0.9144 meters.
One meter is equivalent to 100 cm.
Let D the distance from home plate to the center field fence and L the bat length.
Then, the amount of bats b that can be lined up is: