Answer:
Step-by-step explanation:
<u>C. </u>
- 5/8x + 25 = 3/8x + 15 + 1/4x
- 5/8x + 10 = 3/8x + 2/8x
- 5/8x + 10 = 5/8x
- 10 = 0
Like terms are terms whose variables are the same. In this case, 7 and 2 have no coefficients therefore are like terms. For example, 7x and 2x would both be like terms because they have the same coefficient which is x.
Answer: 1957 meters
Solution: 4506-2549=1957
Therefore she ran 1957 meters more on Monday than on Tuesday.
Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
Answer:
A) y=.50x+15
B) The graph would be a line starting in the bottom left corner and rising to the upper right, the start of the y axis would be 1, as it represents the miles, and the start of the x axis would be 0.50, as it represents the amount of money charged per mile.
C) If you apply the formula y=mx+b to the equation, you will see that 0.50 is the slope, and 15 is the y-intercept.
