Answer:
Step-by-step explanation:
1). From the graph attached,
Price of one ticket last year = $1.5
From the table attached,
Price of one ticket this year = $2
Therefore, price of one ticket this year is higher than the last year.
This year ticket is expensive.
2). From the graph attached,
Price of 4 tickets last year = $6
3). Since, price of one ticket this year = $2
Therefore, price of 10 tickets = $2 × 10 = $20
Answer:
21 kWh
Step-by-step explanation:
1. Subtract 25% from the original amount.
25% of 28 kWh is ...
0.25 × 28 kWh = 7.00 kWh
Subtracting this from 28 kWh, we find the usage after reduction to be ...
28 kWh - 7 kWh = 21 kWh
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2. We know that if we reduce 100% of a quantity by 25%, then the resulting amount is (100 -25)% = 75% of the original. As a fraction, this is 75/100 = 3/4 of the original amount. Then the reduced usage is ...
(3/4) × (28 kWh) = 3·(7·4)/4 kWh = 3·7 kWh = 21 kWh
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Mario must reduce his usage to 21 kWh or less.
So,
We can just subtract the fractions without converting any denominators. To do that, we can split the subtraction problem up as follows:
12 - 5 - 1/8
7 - 1/8
6 7/8
Sally still has 6 7/8 or 6.875 miles to run.
Answer:
A. x = -2, 5/2
B. Minimum
Vertex: (1/4, -81/8)
C. Draw a concave up graph connecting the x-intercepts, vertex and the y-intercept
Step-by-step explanation:
f(x) = 2x² - x - 10
2x² - x - 10 = 0
2x² - 5x + 4x - 10 = 0
x(2x - 5) + 2(2x - 5) = 0
(x + 2)(2x - 5) = 0
x = -2, 5/2
Vertex: (h,k)
h = midpoint of the x-intercepts (due to symmetry)
h = (-2 + 5/2) = 1/4
k = f(1/4)
k = 2(1/4)² - 1/4 - 10 = -81/8
Vertex: (1/4, -81/8)
y-intercept: when x = 0
2(0)² - 0 - 10 = -10
Draw a concave up quadratic connecting thr following points:
(-2,0)
(0,-10)
(1/4,-81/4)
(5/2,0)
