Answer:
x=12
Step-by-step explanation:
4x-10=3x+2
Subtract 3x on both sides:
x-10=2
Add 10 on both sides:
x=12
Hope this helps!
Answer:
1. 20
2. 34
3. 14
Step-by-step explanation:
20 is smallest number
34 is biggest number
34-20=14
range is 34-20
You just put the scale of one building on one side and the scale of the similar building on other side, with width and length written in same place (denominator or numerator). With x for the part that you dont know
Length of one building / width of one building = length of other building / width of other building
12 / 9 = 100 / x
Solve for x, by cross-multiplying
12 * x = 100 * 9
12x = 900
X = 900/12
X = 75 ft
ANSWER
D. As the x-values increase, the y-values would decrease
EXPLANATION
The given function is

The slope of this function is

Since the slope is negative, there is a negative or an inverse relationship between x and y.
As the values of x increases, the values of y decreases.
Also, as the values of x decreases, the values of y increases.
The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.
For instance, when


This implies that,

Options B is obviously not true because the function has a negative relationship between x and y.
Option C is also false because, x can be positive since it is the independent variable.
See graph
Therefore, the correct answer is option D.
We are given the function:
g(x) = 6 (4)^x
Part A.
To get the average rate of change, we use the formula:
average rate of change = [g(x2) – g(x1)] / (x2 – x1)
Section A:
average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) =
18
Section B:
average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) =
288
Part B.
288 / 18 = 16
Therefore the average rate of change of Section B is 16 times
greater than in Section A.
<span>The average rate of change is greater between x = 2 to x = 3 than between
x = 1 and x = 0 because an exponential function's rate of change increases
with increasing x (not constant).</span>