First of all, you should know/notice that

You should also know how negative exponents work:

So, if you wanted

the answer would be x=3, but since you want 125 to be at the denominator, the answer is x=-3:

Answer:
x=-2
Step-by-step explanation:
-9x+1=-x+17
Add 9x on both sides:
1=8x+17
Subtract 17 on both sides:
-16=8x
Divide both sides by 8:
-2=x
Check x=-2!
-9x+1=-x+17 with x=-2
-9(-2)+1=-(-2)+17
18+1=2+17
19=19
19=19 is a true equation so x=-2 is correct.
Volume of a cylinder of radius r and heigth h is

Here h is 15 cm and r is 6 cm.
Answer:
y ≈ 5.2
Step-by-step explanation:
∠ F = 180° - (42 + 48)° ← sum of angles in a triangle
∠ F = 180° - 90° = 90°
Thus Δ DEF is right at F
Using the sine ratio in the right triangle
sin48° =
=
=
( multiply both sides by 7 )
7 × sin48° = y , then
y ≈ 5.2 ( to the nearest tenth )
Answer:
y = 2x - 200
Step-by-step explanation:
The function type that would model this relationship is linear because for each bracelet sold, the jazz band would increase their profit by $2. Since it has a consistent rate, it is linear. Using the slope-intercept formula of y = mx + b, where 'm' is the rate and 'b' is the initial value, you can use $2 for the rate or cost per bracelet and -$200 for the initial value or cost of supplies:
y = 2x - 200, where '2' is the cost per bracelet, 'x' the number of bracelets sold, '-200' is the cost for supplies and 'y' is the profit.