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68.80 because 7 is greater than 5
Answer:
x= -7
Step by Step Explanation:
We can write them both like functions like this
A= 5x- 4
B= 3x+ 8
The output of A will be three times the output of B
A=3b
We replace with the functions
5x-4= 3
We solve for x
5x= -4= 9x + 24
5x- 9x= 24 + 4
-4x= 28
x= 28 - 4
x= -7
The output that makes the out put of A 3 times the output of B is -7
Hope it helped
Converges by p series test
top section is almost constant, can never be larger than 3
so, compare degrees of their exponents, in this case it’s at a maximum of 3/1000n^2. the same as saying (3/1000)*summation of p series.
converges absolutely.
First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.