Answer: Its correct because 3(2t+d) = 6t + 3d are equal.
Step-by-step explanation:
First we need to solve the equation
3( 2t+d ) = 6t + 3d //// Do some distributive property
6t + 3d = 6t + 3d //// Do you see it . . . They are equal to each other.
So its true.
Answer:
y - 3 = ⁵/₂(x - 2) {the point-slope form of the equation}
y = ⁵/₂x - 2 {the slope-intercept form of the equation}
5x - 2y = 4 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = ⁵/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
So, the point-slope form of the equation:
y - 3 = ⁵/₂(x - 2)
Therefore:
y - 3 = ⁵/₂x - 5 {add 3 to both sides}
y = ⁵/₂x - 2 ← the slope-intercept form of the equation
-⁵/₂x + y = - 2 {multiply both sides by (-2)}
5x - 2y = 4 ← the standard form of the equation
I definitely would say True.
Answer:
12 percent
Step-by-step explanation:
you can see on the graph that the charged percentage of capacity changes from 40 to 50 in 5 minutes. then the increase in 6 minutes will slightly more than 10 percent.
The linear rate is (10%)/(5 min) = 2%/min, so in 6 minutes it will be
(2%/min)x(6 min) = 12%
This calculation is consistent with our observation from the graph.
Every 6 minutes, 12 percent is added to the capacity.
For this case we have the following functions:
f (x) = 36 + 4x
g (x) = x2 + 15
By matching both functions we have:
f (x) = g (x)
36 + 4x = x2 + 15
Rewriting we have:
x2 + 15 - 4x - 36 = 0
x2 - 4x - 21 = 0
Solving the polynomial we have:
(x-7) (x + 3) = 0
x = -3
x = 7
Taking the positive root we have:
x = 7
Answer:
They will have the same amount of money saved after:
x = 7 weeks
