MATHEMATICS HIGH SCHOOL

A construction worker tosses a brick from a tall building. The brick's height (in meters above the ground) t tt seconds after being thrown is modeled by h ( t ) = − 5 t 2 + 20 t + 105 h(t)=−5t 2 +20t+105h, left parenthesis, t, right parenthesis, equals, minus, 5, t, squared, plus, 20, t, plus, 105 Suppose we want to know the height of the brick above the ground at its highest point. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. h ( t ) = h(t)=h, left parenthesis, t, right parenthesis, equals 2) At its highest point, how far above the ground was the brick?

Answers

Answer 1
Answer:

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.

What is the vertex form of a quadratic function?

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.

Learn more about quadraticequations here:

brainly.com/question/18804178

#SPJ5
Answer 2
Answer:

Answer:

h(t)=−5(t−2)^2+125, 125

Step-by-step explanation:

Related Questions

Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid reason for his conclusion? A.The z-statistic is less than 0. B.The z-statistic lies in the critical region. C.The z-statistic is greater than 0. D.The z-statistic lies outside the critical region.
Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A(x) = 2,400x + 40x2. His total savings, S, in x months is given by the function S(x) = 250x + 500.The function E(x) = 40x^2 + 2,150x - 500 40x^2 + 2,650x + 500 40x^2 + 2,150x + 500 40x^2 + 2,650x - 500 represents Ashton’s total expenses in x months.Ashton’s expenses for 3 years total $ 6,310 8,810 128,740 147,740 .
The price of an item yesterday was 110. Today the price fell to 33 find the percentage decrease
18 divided by x = -2 what is the x equal to?
How can you write 240.149 in word form?

Marcs is growing three bean plants as part of a science experiment. Plant A 1/3 inch tall. Plant B is 3/4 inch tall. Plant C is 5/6 inch tall. Order the plants from shortest to tallest.

Answers

1/3 , 3/4, 5/6

1÷3= 0.333333

3÷4= 0.75

5÷6= 0.8333333333333333

Hope I This Helps :D

Joel opened a checking account. His bank charges him a service fee of $4.95each month. Assume y = total cost of having the account and x = number of months.

Answers

y= x • $4.5
it needs to be 20 characters so here’s this ndnsoxid

Final answer:

The subject of this question is Mathematics and the grade level is High School. The relationship between the number of months and the total cost of having the account can be represented by the formula y = 4.95x, where y is the total cost and x is the number of months.

Explanation:

The subject of this question is Mathematics

  1. Joel's monthly service fee is $4.95, therefore, each month the total cost of having the account increases by $4.95
  2. In terms of variables, let x be the number of months and y be the total cost of having the account
  3. The relationship between x and y can be expressed as y = 4.95x, where 4.95 represents the monthly service fee and x represents the number of months

Thus, the formula y = 4.95x represents the relationship between the number of months and the total cost of having the account.

Learn more about Mathematics here:

brainly.com/question/26854035

#SPJ3

Find the X-intercept of the line 4x+11y=20

Answers

Answer:

5

Step-by-step explanation:

To find the x-intercept of the line 4x+11y=20, we need to set y=0 and solve for x. This is because the x-intercept is the point where the line crosses the x-axis, which is the point where y=0.

First, substitute y=0 into the equation: 4x+11(0)=20

Simplify: 4x=20

Solve for x: x=5

Therefore, the x-intercept of the line 4x+11y=20 is 5.

Hat does the transformation f(x)↦f(x+6) do to the graph of f(x)?

Answers

Answer:

It will translate all the points of the graph to the left, or up! Depends on the function.

Write x^2 − 8x + 13 = 0 in the form (x −a. ^2 = b, where a and b are integers.

(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4

Answers

If you would like to write the equation in the above form, you can calculate this using the following steps:

x^2 - 8x + 13 = 0
(x - 4)^2 = x^2 - 8x + 16
(x - 4)^2 - 3 = 0
(x - 4)^2 = 3

The correct result would be (x - 4)^2 = 3.

What is the slope of the line that contains the points (3, 4) and (1, 2)? A. 1 B. –1 C. D.

Answers

if you have your points (3,4) (1,2) x=3 and 1 and y=4 and 2 so find a point on the x or y line and go up and over till your line crosses another point and that will give you your slope
Other Questions
The ordered pair (0,4) is a solution of what system?
Simplify. -15-(-3)+6
Why did the French explore and colonize parts of North America? A. to enslave Native Americans as workers in France B. to establish a democratic republic C. to build cattle ranches D. to look for gold and trap for furs
which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply. y = –x + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –(x – 4) y + 2 = (x + 4)