F(x) has only one x-intercept when x=0
g(x)=-x^2-6
g(x)=-(x^2+6) so g(x) will have no x-intercepts as its maximum value will be -6.
g(x) is f(x) reflected about the x axis and shifted downwards by 6 units.
You answered correctly.
(a brainliest would be appreciated)
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Answer:
12 1/2 laps
Step-by-step explanation:
To find the number of laps, divide the distance by the distance per lap.
(3 1/8) ÷ (1/4) = (3 1/8) × (4/1) = 3·4 +(1/8)·4 = 12 4/8 = 12 1/2
Quadir needs to jog 12 1/2 laps if he wants to jog 3 1/8 miles.
Answer:
In 10 seconds, the garden hose will emit 15 quarts of water.
Step-by-step explanation:
The amount of water emitted by the garden hose over time can be expressed as a ratio: 9/6, or 9 quarts of water for every 6 seconds of time. We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time. Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds: 3/2 = x/10. We look at the denominators and see that 2 x 5 = 10. In order to make the ratios equivalent, we would also multiply the numerator by 5: 3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.
