A student said that x = 4 was not a solution to the question 3(x -6) = -8
1 answer:
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Answer: A) (4, 6)
Step-by-step explanation:
1. You can plot the given points (-2,-2) and (4,-2), as you can see in the first graph attached.
2. The formula for calculate the area of a triangle is:
Where<em> b</em> is the base and <em>h</em> is the height.
3. As you can see in the first graph, the lenght of the base is:
So, you must solve for the heigth:
3. Add 8 to the y-coordinate of both points given in the problem to know the coordinates of the other vertex:
(-2,-2+8)=(-2,6) (This is not an option)
(4,-2+8)=(4,6) (Option A. This is the answer).
4. Then, the triangle is shown in the second graph.
Answer:
The slope of the model is .
The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.
Step-by-step explanation:
We have to notice that given function is a linear function, that is, a first order polynomial, whose standard form is described below:
Where:
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- y-Intercept, dimensionless.
In this case, we use the linear function , where
is the time after 2000, measured in years, and
is the average cost of a hair cut. The slope of the model is
.
The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.