The vertex form of the equation is h(t) = -5 ( t - 2)² + 104.
At its highest point, the brick was 101 meters above the ground.
The factored form of a quadratic function is given as:
f(x) = a(x – h)2 + k
where a, h, and k are constants.
We have,
h(t) = -5t² + 20t + 105
h(t) = -5 ( t² - 4t ) + 105
h(t) = -5 ( t² - 4t + 2² ) - 2² + 105
h(t) = -5 ( t - 2 )² - 4 + 105
h(t) = -5 ( t - 2 )² + 101 _____(1)
The vertex form of the equation is h(t) = -5 ( t - 2)² + 104.
From equation (1) we can say that at its highest point the brick was at
101 meters above the ground.
Thus,
The vertex form of the equation is h(t) = -5 ( t - 2)² + 104.
At its highest point, the brick was 101 meters above the ground.
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Answer:
h(t)=−5(t−2)^2+125, 125
Step-by-step explanation:
Answer:
Problem 1:
The student is wrong, the lines have NO SOLUTION, infinite solutions, because the lines don't intersect in any areas.
Problem 2:
The student is correct, because the lines intersect at (-3,-2)
Step-by-step explanation:
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Answer:
3. the answer is 5 degrees
4. 8 points
5. 56
6.24
Step-by-step explanation:
The equation represents the minimum x = 5 or 0.05% and maximum percent x = 11 or 0.11% of people in a survey who are undecided about an issue.
Given that,
Equation |x − 8| = 3 ,
The minimum and maximum percent of people in a survey who are undecided about an issue.
We have to find,
What percent of the people in the survey are undecided about an issue.
According to the question,
Equation, |x − 8| = 3
The equation with mod solving two time with positive and negative sign.
On solving the equation,
Adding 8 both the sides,
And Again solving with (-) sign,
Subtract 8 from both sides,
Divided by (-) both the sides,
x = 5
The minimum 0.05%.
Hence, The equation represents the minimum x = 5 or 0.05% and maximum percent x = 11 or 0.11% of people in a survey who are undecided about an issue.
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