Answer:
23
Step-by-step explanation:
This equation can be derived from the question
let a represent the initial number Gus started with
{[(a x 8) - 12] / 4 } + 7 = 50
subtract 7 from both sides of the equation
[(a x 8) - 12] / 4 } = 43
Multiply both sides of the equation by 4
(a x 8) - 12] = 172
Add 12 to both sides
8a =184
Divide both sides by 8
a = 23.
<u>Explaining the Concept:</u>
We need to find the slope of the given line:
We know that Slope of a line = Rise/Run. So, to calculate the rise and the run, we will use the points (0,4) and (2,0) on the line
<u>Finding the Slope:</u>
<u>Rise:</u>
We know that the rise of a line is its change in y-coordinate
So, rise of the given line = y₂ - y₁
Rise = 0 - 4 [Since y₁ = 4 and y₂ = 0]
Rise = -4
<u>Run:</u>
We know that the run of a line is its change in x-coordinate
So, Run = x₂ - x₁
Run = 2 - 0 [Since x₁= 0 and x₂ = 2]
Run = 2
<u>Slope:</u>
As we said before,
Slope = Rise/Run
<em>replacing the variables</em>
Slope = -4/2
Slope = -2
Hence, the slope of the given line is -2
Answer:
Step-by-step explanation:
hello :
ax+b =4x+9 so a=4 and b=9
Answer:
60 + 70n ≤ 200
Step-by-step explanation:
Since the $200 is a maximum, only inequalities with "≤ 200" make any sense in this context.
Since the unit rate for training sessins is $70, only expressions containing 70n make any sense in this context.
The only inequaity that makes any sense in this context is ...
60 + 70n ≤ 200
Answer:
Step-by-step explanation:
I don't know what your choices were, but
8p^2 + 23 = 8p^3 + 27 - 4
= ((2p)^3 + 3^3) - 4
= (2p+3)(4p^2-6p + 9) - 4
