9514 1404 393
Answer:
(-2, 11), (-1, 6)
Step-by-step explanation:
We can find the values of x that make the difference between the functions be 0.
f(x) -f(x) = 0
x^2 -2x +3 -(-5x +1) = 0
x^2 +3x +2 = 0 . . . . . . . . . . simplify
(x +2)(x +1) = 0 . . . . . . . . . . . factor
Values of x that make these factors zero are solutions:
x = -2, x = -1
The corresponding values of y are ...
y = -5(-2) +1 = 11
y = -5(-1) +1 = 6
The ordered pairs that are solutions are (-2, 11) and (-1, 6).
Answer:
x = 7
Step-by-step explanation:
How to solve your question
Your question is 13 + 3 − 8x + 6 = 1 − 5x
13 +3 - 8x + 6 = 1 - 5x
13 + 3 − 8x + 6 = 1 − 5x
Solve
<u>Add the numbers</u>
13 + 3 − 8x + 6 = 1 − 5x
22 − 8x = 1 − 5x
<u>Rearrange terms</u>
22 − 8x = 1 − 5x
−8x + 22 = 1 − 5x
<u>Subtract 22 from both sides of the equation</u>
−8x + 22 −22 = −5x + 1 − 22
<u>Simplify</u>
Subtract the numbers
−8x = -5x + 1 -22
-8x = -5x -21
Add 5x to both sides of the equation
-8x + 5x = -5x -21 + 5x
<u>Simplify</u>
Combine like terms
-3x = -21
<u>Divide both sides of the equation by the same term</u>
(-3x)/3 = (-21)/3
<u>Simplify</u>
Cancel terms that are in both the numerator and denominator
x = (-21)/(-3)
Divide the numbers
x = 7
One way to write a linear equation is the formula y = mx + b where m is the slope of the function and b is the y-intercept. For this reason, it is known as slope-intercept form.
The slope os calculated via the formula . Lets calculate the slope of the equation first.
So the slope is -0.12. This means for every minute of time used, $0.12 of credit is used. Next, lets plug in the value for m, and the values of an x and y point to find b.
y = 0.12x + b
23.16 = -0.12(57) + b
23.16 = -6.84 + b
30 = b
So, our final equation is y = -0.12x + 30.
Finally, we can use this equation to find the answer to the last part by plugging the value into x.
y = -0.12(60) + 30
y = -7.2 + 30
y = 22.8
So when 60 minutes have been used, there will be $22.80 worth of credit left.
Answer:
12
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation: