Answer:
Problem 1. <em>(19/2)b + 15</em>
Problem 2. <em>3/16</em>
Step-by-step explanation:
Question number 1
5/8 (16b+24) -1/2b =
= (5/8) * (16/1) * b + (5/8) * 24 - (1/2)b
= 10b + 15 - (1/2)b
= (20/2)b - (1/2)b + 15
= (19/2)b + 15
Question number 2
3/4 (16/64 + 12a) -9a =
= (3/4) * (16/64) + (3/4) * 12a - 9a
= (3 * 16)(4 * 64) + (3/4) * (12/1) * a - 9a
= (3 * 1)(4 * 4) + (3 * 12)/(4 * 1) * a - 9a
= 3/16 + (3 * 3)/(1 * 1) * a - 9a
= 3/16 + 9a - 9a
= 3/16
Answer:
No
Step-by-step explanation:
If you draw a line, it will not go through the origin and there isn't a constant rate of change.
In slope-intercept form, we have these values (y = mx + b):
m = slope
b = y-intercept
Change the equation from standard form to slope-intercept form.
-9x + 7y = 28
-9x + 9x + 7y = 28 + 9x
7y = 28 + 9x
7y/7 = 28/7 + 9x/7
y = 4 + 9/7x
y = 9/7x + 4
Therefore, the y-intercept is 4.
Best of Luck!
Answer:
x = -7/2
Step-by-step explanation:
-2(5x - 3) = 41
Distribute the -2 inside the parenthesis.
-10x + 6 = 41
Subtract 6 from both sides.
-10x = 35
Divide both sides by -10.
x = 35/-10
Simplify the fraction.
x = -7/2.
Proof:
-2(5x - 3) = 41
Substitute variable.
-2(5(-7/2) - 3) = 41
Multiply 5 and -7/2.
-2(-35/2 - 3) = 41
Turn 3 into a fraction with denominator 2.
-2(-35/2 - 6/2) = 41
Subtract 6/2 from -35/2.
-2(-41/2) = 41
Multiply -2 and -41/2.
41 = 41.
