Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
Now x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
Answer:
10 feet
Step-by-step explanation:
Use the volume formula, V = lwh, to solve for w
Plug in the values we know:
V = lwh
250 = (5)(w)(5)
250 = 25w
10 = w
So, the width is 10 feet
Answer:
y= -1+- i √79/4
Step-by-step explanation: Here is the answer ^^
4 years apart if he is 20 years old
Answer:
It weighs 40 pounds on mars
Step-by-step explanation:
Direct proportion is the relationship between two variables when their ratio is equal to a constant value
- It can be expressed as y = k x, where y varies directly as x and k is constant of variation
- It can be expressed as
∵ The weight of an object on mars varies directly as the weight
of the object on earth
∴ w(m) = k × w(e)
∵ The weight of the object on earth is 75 pound
∴ w(e) = 75
∵ The weight of this object on mars is 25 pounds
∴ w(m) = 25
- Substitute them in the equation of variation
∵ 25 = k × 75
- Divide both sides by 75
∴
= k
∴ w(m) =
× w(e)
∵ An object weighs 120 pounds on earth
∴ w(e) = 120
- Substitute it in the equation of variation
∴ w(m) =
× 120
∴ w(m) = 40
∴ It weighs 40 pounds on mars