The time it took the rider to reach the ground level is 171.651seconds
<h3>Quadratic functions</h3>
Quadratic functions are functions that has a leading degree of 2.
Given the equation that represents roller coaster’s height as shown
h = –0.025t^2 + 4t + 50
The coaster will reach the ground when h = 0
Substitute
0 = –0.025t^2 + 4t + 50
Factorize
On factorizing, the time it took the rider to reach the ground level is 171.651seconds
Learn more on quadratic function here: brainly.com/question/1214333
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Answer:
g(x + 7) = 11x + 80
g(x) + g(7) = 11x + 83
Step-by-step explanation:
g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80
g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83
Answer:
7 2/3 minutes
Step-by-step explanation:
We can write this equation in y = mx+b form
where m = 3 ft/min and b = -105 ft
x is the number of minutes and y is the depth
y = 3 * x -105
We want to find when y = -82
-82 = 3x -105
Add 105 to each side
-82+105 = 3x-105+105
23=3x
Divide by 3
23/3 = 3x/3
23/3=x
Changing into a mixed number
3 goes into 23 7 times with 2 left over
7 2/3 minutes
Answer:
16/45
Step-by-step explanation:
Step 1: When dividing fractions, use “KFC”. It means Keep the first fraction, Flip the second one, and
Change it to multiplication
-4/20 ÷ -9/16 → -4/20 ∙ 16/-9
Step 2: Reduce any fractions if necessary, it makes multiplying them easier and you will have to reduce anyway at the end. It’s easier arithmetic to reduce at this step. The first fraction reduces because both the numerator and denominator are divisible by 4.
-1/5 ∙ 16/-9
Step 3: Multiply numerators and denominators together to get one fraction
(-16)/(-45)
Step 4: Cancel out the negatives, a negative divided by a negative is a positive. Our final answer is
16/45
