Step-by-step explanation:
C. For each hour he works, his earnings go up by $8.
Answer:
Option D is correct.
13x = 39
Step-by-step explanation:
The system of equation is given:
....[1]
.....[2]
Multiply equation [1] by 5 to both sides we have;
.....[3]
Using elimination method:
Add [2] and [3] equations to eliminate y and solve for x, we have;
Divide both sides by 13 we get;
x = 3
Substitute x in [1] we have;
2(3)-y = -4
6-y = -4
Subtract 6 from both sides we have;
-y = -10
Divide both sides by -1 we have;
y = 10
⇒Solution: (3, 10)
Therefore, an equation can replace 3x+5y = 59 in the original system and still produce the same solution is,
13x = 39
Find the difference in the y-coordinates: -3 - 1 = -4
Find the difference in the x-coordinates in the same order: 2 - 5 = -3
Divide the difference in y by the difference in x: slope = (-4)/(-3)
Reduce the fraction: slope = 4/3
Given the following values for a quadratic function, which is the graph of the function? (–1, 0), (0, 3), (1, 4), (2, 3), (3, 0)
Firdavs [7]
Answer:
The function of the graph is f(x) = - x² + 2x + 3
Step-by-step explanation:
Using the value of the graph we can say that the the function is negative x² because there are x-intercepts and the y-intercept if above 0.
Using the x-intercepts we can form the function of the graph:
-(x + 1)(x - 3) - we have a negative in front of the two brackets because the function is a negative. Now we multiply out the brackets and the negative at the end:
-(x² - 2x - 3)
- x² + 2x + 3 - So the function of the graph is:
f(x) = - x² + 2x + 3
