Answer:
x=-16
Step-by-step explanation:
Answer:
x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-2(x - 4) = -16
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -2: -2x + 8 = -16
- Isolate <em>x</em> term: -2x = -24
- Isolate <em>x</em>: x = 12
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: -2(12 - 4) = -16
- Subtract: -2(8) = -16
- Multiply: -16 = -16
Here we see that -16 does indeed equal -16.
∴ x = 12 is a solution of the equation.
<u>Part A:</u>
For the function f(x) = 1 - (4)^x -> y -intercept = 0
For the given table we are given the point (0, 2) -> y-intercept = 2
For the graph we can see that the graph intersects the y-axis at point "(0, 1)"
-> the y-intercept = 1
The table has the greatest y-intercept
<u>Part B:</u>
Function: f(x) = 1 - (4)^2 = 1 - 16 = - 15,
Table: Given g(x) (output) = 6
Graph: Output = -7
The table again has the greatest output
First we need the whole garden:
16 x 5 = 80
Now we need to fountain:
5 x 9 = 45
Now to find our answer:
80 - 45 = 35
So our answer is B. 35ft²
<span>Find
the speed of each car.
Let a be the first car
Let b be the second car
=> a = x miles per hour
=> b = x + 12 miles per hour
=> 2 (x+ x + 12) = 232 miles per hour
=> 2x + 12 = 232
=> 2x + 12 = 116
=> 2x = 116 - 12
=> 2x / 2 = 104 / 2
=> x = 52 (speed of Car A)
=> 52 + 12 = 64 miles per hour (speed of Car B)</span>