Answer:
x=2.9
Step-by-step explanation:
3(3x+9)= -5-2x ( distribute)
9x+27= -5-2x (add 2x) (subtract 27)
11x= 32 ( divide by 11)
x= 2.9
the formula for area of a rectangle is
Area = length x width
since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting
(-4,9) (-4,-3)
these points lie on the same x axis, so they create a vertical line
9-(-3) = 12
12 units is the distance between them
(-4,-3) (-1,-3)
these points lie on the same y axis, so they create a horizontal line
-1-(-4) = 3
3 units is the distance between them
now that we have the length and the width, we can find the area
A = 12 x 3
A = 36 units²
Answer:
1,960
Step-by-step explanation:
35 times 56 = 1,960
35 is the base, to get the base you do length times width.
the height is 56. To get the volume do base (or length times width) times hight.
Hope that helps!
Answer:
7
Step-by-step explanation:
f(x) = 2x^3 + x^2 − 3x + 1
f'(x) = 6x^2 + 2x − 3
The slope at -2:
f'(-2) = 6(-2)^2 + 2(-2) − 3
f'(-2) = 24 + -4 − 3
f'(-2) = 17
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The slope at 0:
f'(0) = 6(0)^2 + 2(0) − 3
f'(0) = − 3
The average rate of change is (17+(-3))/2, or 14/2, or 7
7x - 2y = -3
14x + y = 14
14x -14x + y = 14-14x
Y = 14 - 14x
7x -2y = -3
7x - 2(14 - 14x) = -3
7x -28 + 28x = -3
7x + 28x - 28 = -3
35x - 28 = -3
35x - 28 + 28 = -3 + 28
35x = 25
35x/35 = 25/35
X = 25/35 = 5/7.
Y = 14 - 14x
Y = 14 - 14(5/7)
Y = 14 - 10
Y = 4.
The solution P(5/7,4).
