Answer:
b = 29
Step-by-step explanation:
C x D = A x B
15(11x - 91) = 7(2x + 10)
165x - 1365 = 14x + 70
add 1365 to both sides of the equation:
165x = 14x + 1435
subtract 14x from both sides:
151x = 1435
divide both sides by 151:
x = 9.5
b = 2(9.5) + 10 = 29
Answer:
The y-intercept of the line is 2
Step-by-step explanation:
You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax
But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.
(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?
Just extrapolate the table to the left, and you will find the y value where x = 0
x 0 8 16 24 32
y 2 22 44 64 84
So the y-intercept of the line is 2.
Extra:
The full equation of the line is:
y = 8/20x + 2
Answer:
x = 4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(8−12x)+8x=−25x+52
(2)(8)+(2)(−12x)+8x=−25x+52(Distribute)
16+−24x+8x=−25x+52
(−24x+8x)+(16)=−25x+52(Combine Like Terms)
−16x+16=−25x+52
−16x+16=−25x+52
Step 2: Add 25x to both sides.
−16x+16+25x=−25x+52+25x
9x+16=52
Step 3: Subtract 16 from both sides.
9x+16−16=52−16
9x=36
Step 4: Divide both sides by 9.
9x/9 = 36/9
x = 4
Answer:
l x w x h = 2,197
If l=w=h then it is a perfect cube.
The cube root of 2,197 is 13
Therefore, the cube is 13 x 13 x 13 inches.
Step-by-step explanation:
