Solve. -2(3x + 7) = -8x
2 answers:
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Answer:
C and D
Step-by-step explanation:
The quadratic formula is
x= (-b±√b²-4ac)/2a
The formula uses the numerical coefficients in the quadratic equation.
The general quadratic equation is ax²+bx+c where a, b and c are the numerical coefficients
So, lets try and see;
A.
But due to the fact that in this equation you have x⁴, the equation is not a quadratic equation thus can not be solved using this formula
B
C
D.
From the checking above, the equations will be C and D
Firts we need to find the rate of change, or in other words, the slope of the line.
Question 1:
a)
For this we can take two points in the form (years, salary). Then we can define as year 0 the year when Gary starts to work. In this year the salary is $58,550. The first point is (0, $58,550)
The next point we can take is at the year 10, when the salary of Gary will be $71,950. The second point is (10, $71,950)
b) Now that we have the two points, we can use the slope formula to get the rate of change. The slope formula is, for two points A and B:
In this case, we can call the points A(0, $58,550) and B(10, $71,950). Using the formula:
c) "The rate of change in Gary's salary is $1340 per year."
Question 2:
a) The slope intercept form of a line is:
Where:
y is the output of the function.
x is the input of the function. (we provide the function with a value for x and the function give us a value of y)
m is the slope of the line. We calculate it in question 1.
x1 is the x coordinate of a point we choose.
y1 is the y-coordinate of the same point of x1.
In this case, we know:
m = 1340;
And we can take the point (0, $58,550), thus:
x1 = 0
y1 = 58,550
b) Now we need to use all this values and use the slope-intercept form:
And solve to get:
Question 3:
a) Now we have a equation for the salary, we can use this to find the salary in 13 years. We just need to replace x = 13 in the equation:
B) The salary of Gary in 13 years will be $75,970.
For this case we have that by definition, the perimeter of the quadrilateral shown is given by the sum of its sides:
Let "p" be the perimeter of the quadrilateral, then:
So, the perimeter of the figure is:
Answer: