The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.


After how many seconds does the object reach its maximum height?


2 seconds

3 seconds

6 seconds
9 seconds

Answers

Answer 1

Answer:

Step-by-step explanation:

This answer can be found in the h value for the vertex of a parabola, (h, k). The k value is the max height and we were already given that information. We need to solve for h. There's an easy way and a really complicated way...I'll show you the easy way because it's actually quite useful to know, especially when doing a lot of work with quadratics!

The formula to find h is

[tex]h=\frac{-b}{2a}[/tex] and in our quadratic, a = -16, b = 96 and c = 6. Filling in what we need:

[tex]h=\frac{-96}{2(-16)}[/tex] so

h = 3

At 3 seconds the max height of 150 feet is reached.


Related Questions

Solve for x:
2x + 5 = 12

Answers

Answer:

x = 7/2

Step-by-step explanation:

2x + 5 = 12

Subtract 5 from each side

2x + 5-5 = 12-5

2x = 7

Divide each side by 2

2x/2 = 7/2

x = 7/2

Answer:

[tex]x = \frac{7}{2} [/tex]

Step-by-step explanation:

Let's solve:

[tex]2x+5=12[/tex]

Step 1: Subtract 5 from both sides.

[tex]2x+5−5=12−5 \\

2x=7[/tex]

Step 2: Divide both sides by 2.

[tex] \frac{2x}{2} = \frac{7}{2} \\

x= \frac{7}{2} [/tex]

Question 1 of 10
What are the solutions of x2 - 5x+7=0 ?

Answers

The answer is the the question is A.

I need help please! ASAP!

Answers

Answer:

Step-by-step explanation:

the answer is 10 you’re welcome

Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)

Answers

every month 1/10 of her allowance goes to chores class because 1/5x1/2 = 1/10 or 1/2 of 1/5 is 1/10

please please please help

Answers

Answer:

a S(-3) = 2(-3)(-3)+5(-3)-12

=18-15-12

=-9

b 2x2+5x-12=0

2x2+8x-3x-12=0

2x(x-4)-3(x+4)=0

(2x-3)(x+4)=0

2x-3=0

x=3/2

x=-4

sorry I couldn't answer the other question

Is how far from work do all the employees live a statistical question

Answers

Answer:

need more info sry

Step-by-step explanation:

How do I do this ( answer please )

Answers

Answer:

I think see what circuit is connected to the light

Step-by-step explanation:

Distribute 5x\left(1+3x\right).5x(1+3x)

Answers

Answer:

5x + 15x²

Step-by-step explanation:

Given the expression 5x(1+3x)

Generally, according to the distribution rule,

A(B+C) = AB + AC

A is distributed over B and C

Similarly,

5x(1+3x)

= 5x(1) + 5x(3x)

= 5x + 15x²

Hence the expression required is 5x + 15x²

A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

6 people

Step-by-step explanation:

$230 - $8 = $222

x · 35.75 = 222

x · 35.75 ÷ 35.75 = 222 ÷ 35.75

[tex]x=6\frac{30}{143}[/tex]

Which is not a benefit of direct deposit?


A.
You can plan when you are paying bills.


B.
You can avoid having a hold placed on when funds are available.


C.
The money is available as soon as your employer makes the transfer.


D.
You do not need to drive to the bank to make a deposit.

Answers

A because I took the test

Answer:

Its B. You can avoid having a hold placed on when your funds are available

Step-by-step explanation:

I just got it right rn.

In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.

Year National Average

Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the average salary increase per year between the years 1980 and 1990.

$1,539.70
$8,367.80
$2,566.20
$1,004.10


A is right

Answers

Step-by-step explanation:

Obviously A is the correct answer you have already gave us hint. Btw thanks for the pts

Mike and his dad are retiling his bathroom floor. They have budgeted $200 for the tiles and supplies. The tiles cost $1.85 each and they have spent $114.90 on supplies. Write an equation and solve the equation.

Answers

Answer:

Equation: $114.90 + $1.85x = 200

Solution: They can buy 46 tiles.

Step-by-step explanation:

First, subtract 114.90 from both sides to get 1.85x = 85.10.

Divide 85.10 by 1.85 to get 46, which is the answer.

Ms.Jane runs a boutique in Jumeirah. She bought 50 m cloth to stitch shirts for her boutique.If one shirt requires 2m 15cm of the cloth then

Answers

Answer: 23 shirts

Step-by-step explanation:

Given

Ms. Jane bought 50 m cloth to stitch shirts

If one shirt requires 2m and 15 cm cloth i.e. [tex]2+0.15=2.15\ m[/tex]

No of shirts that can be made using 50 m cloth

[tex]\Rightarrow \dfrac{50}{2.15}=23.25\approx 23\ \text{Shirts}[/tex]

Therefore, Ms. Jane can made 23 shirts from 50 m cloth.

quiere cercar con alambre un terreno rectangular que mide 180 m (metros) de largo por 85 m de ancho.¿cuantos metros de alambre necesita? ¿Con qué concepto matemático relacionas esta situación?

You want to wire a rectangular piece of land that is 180 m (meters) long by 85 m wide. How many meters of wire do you need? With what mathematical concept do you relate this situation?

Answers

Answer:

The wire required to fence is 530 m.

Step-by-step explanation:

Length, L = 180 m

Width, W = 85 m

The perimeter of the wire is

P = 2 (L + W)

P = 2 (180 + 85)

P =  530 m

So, the wire required to fence is 530 m.

need help with this Q&A 2

Answers

Answer:

3

Step-by-step explanation:

the y-intercept is the point (or rather just the y coordinate of that point), where the function crosses the y-axis (that means x=0).

it is possibly visible, that this is at y=3.

In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?

66.7%
-50%
-33.3%
50%

Answers

Answer:

-33.33%

Step-by-step explanation:

((450-300)÷450)×100

(150÷450)×100

-33.33%

-33.3% is the right answer

Name the marked angle in 2 different ways.

Answers

1) angle UWV

2) angle VWU

Mathematicians 4: Who is Who?
Unit: Factoring Quadratics
Factor the following quadratic equations to determine each person's name: Show your work

Answers

Answer:

a. x = -9 or x = -2

b. -5(x - 4)

c. x = -3 or x = 5

d. x = ±7

Step-by-step explanation:

a. First person;

y = x² + 11x + 18

y = x² + 9x + 2x + 18

y = x(x + 9) + 2(x + 9)

y = (x + 9)(x + 2)

y = x = -9 or x = -2

b. Second person;

y = -5x + 20

The common factor is 5.

y = -5(x - 4)

c. Third person;

y = x² - 2x - 15

y = x² - 5x + 3x - 15

y = x(x - 5) + 3(x - 5)

y = (x + 3)(x - 5)

y = x = -3 or x = 5

d. Fourth person;

y = x² - 49

Applying the difference of squares formula;

(a² - b²) = (a - b)(a + b)

y = x² - 49 = x² - 7² = (x - 7)(x + 7)

y = (x - 7)(x + 7)

y = x = ±7

WILL GIVE BRAINLIEST IF CORRECT!!!

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

y = 3/4 x - 9/2

Step-by-step explanation:

Slope = 3/4

y = mx + b

y = 3/4x + b

0 = 3/4 (6) + b

0 = 18/4 + b

-9/2 = b

y = 3/4 x - 9/2

The measure of 1 in the diagram below is 113º.

What is the measure of <4?

Answers

Answer: 67°

Step-by-step explanation:

From the diagram given, we can see that 1 and 4 are angles on a straight line. It should be noted that sum of angles on a straight line equals to 180°.

Therefore,

Angle 1 + Angle 4 = 180°

113° + Angle 4 = 180°

Angle 4 = 180° - 113°

Angle 4 = 67°

Therefore, the measure of <4 is 67°

PLEASE HELP!! The slope of the line below is 2.5. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on the y-side.

Answers

Answer:

y = 2.5x

Step-by-step explanation:

y = mx + b

m=2.5 (slope) -->  y=2.5x+b

coordinate : (2,5) 2 is the x coordinate, 5 is the y coordinate

to Find b, input the coordinate --> 5 = 2.5(2) + b

                                                        5 = 5 + b

                                                        0=b

y= 2.5x

This is only since it asked to solve using the point. If you look at the graph, the line intercepts the y-axis at (0,0) so b=0.

hope this helps

The equation of the line in point-slope form, using the coordinates of the labeled point, is y = 2.5x.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

The slope of the given line is 2.5.

And line passes through the point (2, 5) and have a slope 2.5,

then the equation of the line is,

y - 5 = 2.5 (x - 2)

y = 2.5x

Therefore, the equation of the line is y = 2.5x

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

What’s the length of AB?
-12 UNITS
-6 UNITS
-10 UNITS
-14 UNITS

Answers

Answer:

the answer would be ten units

Step-by-step explanation:

use the Pythagorean theorem

A^2 + b^2 = C^2

8^2 + +6^2 = 10^2

Find the measure of angle 5
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

-4x+161

Step-by-step explanation:

why-

because it is correspondoing so that is the answer

Jacob drove 450 miles at an average rate of 65 miles per hour. Rounded to the nearest tenth of an hour, how long did the trip take

Answers

Time = distance / speed

Time = 450 miles / 65 miles per hour

Time = 6.9 hours

A fruit company recently released a new applesauce. By the end of its first​ year, profits on this product amounted to $37,000. The anticipated profit for the end of the fourth year is $68,200. After the first​ year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. a. Write a linear function​ P(x) that expresses profit as a function of time. ​P(x)=

Answers

Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years

is x = 3 a function or not a function ?!

Answers

Answer:

x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.

The graph shows two lines, A and B.
у A 6 А. B Сл 4 3 N 1 0 1 2. 3 4 5 6

Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)

Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)​

Answers

Answer with explanation:

Part A:

One solution.

The number of points of intersection represents the number of solutions. Since the two lines only intersect at one point, there is only one solution.

Part B:

(3, 4)

The point(s) of intersection marks the solution(s) to the lines. Since lines A and B intersect at the point (3, 4), the solution to the equation of their lines is (3, 4), or [tex]x=3, y=4[/tex], as coordinates are written as (x, y).

PLZZ HELP ME ITD MEAN THE WORLD

Answers

Answer: 33/3

Step-by-step explanation:

I don't know the question is weird but it probably is 33/3

Use the image to complete the equation below

Answers

11y-36= 63° because of the angles theorem.

find the measure of an interior angle of a regular decagon (10 sided polygon)

Answers

Answer:

1440°

Step-by-step explanation:

The sum of angles in a polygon is (n - 2)180 where n = number of sides.

A decagon has 10 sides, so n = 10

(10 - 2)180

8(180) = 1440°

Answer:

the answer is 144

Step-by-step explanation:

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