Answer:
3x
Step-by-step explanation:
2y + 1 + x + ? = 2y + 1 + 4x
Subtract 2y from each side
2y -2y+ 1 + x + ? = 2y-2y + 1 + 4x
1 + x + ? = 1 + 4x
Subtract 1 from each side
1 -1+ x + ? = 1 -1+ 4x
x + ? = 4x
Subtract x from each side
x-x+? = 4x-x
? = 3x
The part that changes in each statement choice is the rate per t-shirt. That means this is what you need to find to correctly answer this question.
To find the rate per t-shirt, divide the total amount paid ($294) by the total amount of t-shirts (21).
294 / 21 = 14
The rate per t-shirt is $14.
Answer:
<span>D. Jenny paid $294 for 21 T-shirts, which is a rate of $14 per T-shirt.</span>
Because we will have to do it eventually, let's find f(x) first.
f''(x) = 24x - 18
First, we integrate f''(x) using an indefinite integral.
f'(x) = ∫ (24x - 18) dx
f'(x) = 12X^2 - 18x + C
Now, we need to find C by substituting "x" for -1 and setting the equation equal to -6 because f'(-1) = -6
f'(-1) = 12(-1)^2 - 18(-1) + C = -6
Solve for C
C=-26
Now we put that into f'(x).
f'(x) = 12x^2 - 18x -26
Now, we integrate again.
f(x) = ∫(12x^2 - 18x - 26)dx
f(x) = 4x^3 - 9x^2 - 26x + C
Now, we substitute "x" for 2 and set it equal to 0.
f(2) = 4(2)^3 - 9(2)^2 - 26(2) + C = 0
Solve for C
C=38
Now that we have f(x), B has been solved.
Next, we need to find out where the slope of f(x) is equal to 0. Remember that to find slope, we need to find the derivative. We already found the derivative of f(x), so we can use that. The question asks for the places where the slope of f(x) is 0, so we need to set f'(x) equal to 0 and solve for "x"
12x^2 - 18x -26 = 0
I could try to factor this, but I know that it is not possible. We must use the quadratic formula. I cannot reasonable put the quadratic formula into this, so I will only do the part under the radical.
√[18^2-4(12)(-26)]
√(324+1248)
√1572
√(4)*√(393)
2√393
When this is done with the rest of the formula, you get.
[18+/-2√(393)]/24
Thus, the points where the slope of f(x) is equal to zero are where <span>[18+/-2√(393)]/24 are the x values of f(x).
( </span>[18+/-2√(393)]/24 , f ( <span>[18+/-2√(393)]/24 ) )
Now, we have done A and B.
To do C, we must remember the formula for finding the average value of f(x)
This formula is:
[The </span>definite integral of f(x)] / (b-a)
The picture is of this formula.
When we solve for this, we get -13.
I hope I got everything right.
This speed in feet per day is 5938 feet per day
<h3>How to determine the speed?</h3>
The given parameter is
Speed = 95 kilometers every 7.5 weeks
There are 7 days in a week
So, we have:
Speed = 95 kilometers every 7.5 * 7 days
Evaluate the product
Speed = 95 kilometers every 52.5 days
Divide 95 by 52.5
So, we have:
Speed = 1.81 kilometers every day
There are 3280.84 feet in 1 kilometer
So, we have
Speed = 1.81 * 3280.84 feet every day
Evaluate the product
Speed = 5938 feet every day
Hence, this speed in feet per day is 5938 feet per day
Read more about speed at:
brainly.com/question/6504879
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We know that
[length of a circumference]=2*pi*r
diameter=90 cm-------------> r=d/2--------> r=45 cm
[length of a circumference]=2*pi*45----------> 90*pi cm
<span>with 1 revolution will go the length of the wheel</span>
if 1 revolution is-------------------> 90*pi cm
5 revolution is--------------------> X
X=5*90*pi----------> 1413 cm
the answer is 1413 cm