Amir stands on a balcony and throws a ball to his dog, who is at ground level.
The ball's height (in meters above the ground), xxx seconds after Amir threw it, is modeled by:
h(x)=-(x-2)^2+16h(x)=−(x−2)
2
+16h, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 2, right parenthesis, squared, plus, 16
How many seconds after being thrown will the ball hit the ground?

Answers

Answer 1

Answer:

6 seconds

Step-by-step explanation:

h(x)=-(x-2)^2+16

We want h(x) to be 0 ( that is when the ball hits the ground)

0 = -(x-2)^2+16

Subtract 16 from each side

-16  = -(x-2)^2+16-16

-16 = -(x-2)^2

Divide by -1

16 = (x-2)^2

Take the square root of each side

sqrt(16) = sqrt((x-2)^2)

±4 = x-2

Add 2 to each side

2±4 = x-2+2

2±4 =x

2+4 = x   2-4 = x

6 =x  -2 =x

Time cannot be negative so x=6

Answer 2

Answer:

X = 6

Step-by-step explanation:

hope it will help you


Related Questions

HELPPGPPGPFPPDPSPPSS MEEEEK

Answers

Answer:

jsjwbsihdn3oiansjsos

6-y6 I hope that helps

Using the numbers 2,7,13,11,5 can you get the total of 23? (No negatives, No repetitive Numbers and only)

Answers

Answer:

7, 11, 5

Step-by-step explanation:

7 + 11 = 18

18 + 5 = 23

Can someone explain me this please :)

Answers

Answer:

39) a) [tex]2^{1}[/tex]= 2

     b) [tex]2^{3}[/tex]= 2×2×2=8

     c)[tex]2^{t}[/tex]

40) no

Step-by-step explanation:

40) both point A and B is below the point C. therefore it cannot pass through point c

Enter an inequality that represents the graph in the box.

Answers

Answer:

It will be -8≤×≤8

Evaluate :
A. [tex]x^{x^3}=3[/tex]
B. [tex]4^x +6^x =9^x[/tex]

Answers

Answer:

A. [tex]x^{x^3} = 3[/tex]log [tex]x^{x^3}[/tex] = log 3x³ log x = log 33x³ log x = 3 log 3x³ log x³ = log 3³[tex]x^3^{x^3}[/tex] = 3³x³ = 3x = [tex]3^{1/3}[/tex]B.4ˣ + 6ˣ = 9ˣ2²ˣ + 2ˣ3ˣ = 3²ˣ

Divide both sides by 2²ˣ

1 + (3/2)ˣ = (3/2)²ˣ

Substitute (3/2)ˣ = t

t² - t - 1 = 0

Solve for t:

t = (1  ± √5)/2

Positive root is considered as (3/2)ˣ can't be negative.

(3/2)ˣ = (1 + √5)/2x = log [(1 + √5)/2] / log (3/2)x = 1.18681439028

50 POINTS HELP WILL MARK BRAINLIEST

find the value of x.
(picture attached)

Answers

You would do 180- 96-49 to give you x which means that x= 35
The reason that you are using 180 is because when you add up all the angles of a triangle it equals 180

Solve the inequality.
-4 < 2x - 6 < 12
[?]

Answers

Hi ;-)

-4 ≤ 2x - 6 ≤ 12

2x - 6 ≥ -4  / + 6

2x ≥ 2  / : 2

x ≥ 1

2x - 6 ≤ 12  / + 6

2x ≤ 18  / : 2

x ≤ 9

1 ≤ x ≤ 9
Treat this as any other inequality and focus on getting the x by itself.

First add 6 to everything to eliminate the -6 in the middle:
-4 + 6 ≤ 2x-6 + 6 ≤ 12 + 6

- 2 ≤ 2x < 18

Then divide everything by 2 to get the 2 off the 2x.

-2 / 2 ≤ 2x / 2 ≤ 18/2

- 1 ≤ x ≤ 9

Which of the following demonstrates the distributive property?
A. (r + s)t = (s+r)t
B. (r + s)t=r + (st)
C. (r + s)t = t(r + s)
D. (r + s)t = rt + st

Answers

Answer:

D. (r + s)t = rt + st

Step-by-step explanation:

Distribute means that the term outside gets multiplied to each term on the inside of the parentheses

(r + s)t = rt + st

Indicate the answer choice that best completes the statem
Write each equa ton in standard form. Identify A, B, and c
y=3/8x+5

Answers

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

If the first term of an A.P is equal to one half of the common difference d, find the eight term of the A. P.

Answers

Step-by-step explanation:

The formula for Arithmatic Series is

[tex]a_n=a_1+(n-1)d[/tex]

where a_1 and a_n are the first and n-th term of the series respectively,

d is the common difference of the series.

Now,

The eigth term is given by,

[tex]a_8=(\frac{d}2)+(8-1)d=\frac{15}{2}d[/tex]

If V(r)=4/3pir³, find V(3/4)

Answers

Answer:

Step-by-step explanation:

r = 3/4

[tex]V(r) =\dfrac{4}{3}\pir^{3}\\\\V(\dfrac{3}{4})=\dfrac{4}{3}*\pi \dfrac{3}{4}*\dfrac{3}{4}*\dfrac{3}{4}\\\\=\dfrac{3*3}{4*4}\pi \\\\=\dfrac{9}{16}*3.14\\\\=1.77[/tex]

Create a real-world situational problem to represent the given equation or inequality.

Answers

Answer:

wheres the rest of it

Step-by-step explanation:

help help help help help help

Answers

Answer:

the answer is no c because the translation is done in clockwise taking y intercept in 6 units

I think the answer is b, I’m not so sure

HELP I'M REWARDING 50 POINTS (YA IKR 50 WOW) IF YALL GET THIS RIGHT..

Answers

Answer:

232

Step-by-step explanation:

Since the polygon is regular, each side of the polygon is equal

[tex]x + 7 = \frac{4}{3} x - \frac{1}{3} [/tex]

[tex]7 = \frac{1}{3} x - \frac{1}{3} [/tex]

[tex] \frac{22}{3} = \frac{1}{3} x[/tex]

[tex]x = 22[/tex]

This means each side is worth

[tex]22 + 7 = 29[/tex]

or

[tex] \frac{4}{3} x - \frac{1}{3} = \frac{87}{9} = 29[/tex]

There is 8 sides so the perimeter is

[tex]29 \times 8 = 232[/tex]

Which best describes the meaning of the statement "If A and B ? i dont understand this
A. If A is false then B must be false
B. If A is true then B must be true
C. If A is false , then B must be false
D. if A is true then B might be true

Answers

Was your original statement “If A, then B”?

If so, this means “if you know A is true, then you know B is true.” (Answer: B)

Example: “If (you’re a dog), then (you’re a mammal).”

Also, answers A and C are the same. Was that a typo?

The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease

Answers

Answer: 14 degree decrease

Step-by-step explanation:

8-14= -6

Mary Lindey wants to purchase pumpkins. She finds different markets advertising pumpkins for sale. What market has the lowest price per pumpkin . 3 for 10.59 , 3.75 per pumpkin , 2 for 7.20

*7th grade*

Answers

Work out the price per pumpkin:
Shop 1
3p=10.59
p= 3.53

Shop 2
p= 3.75

Shop 3
2p= 7.20
p= 3.60

Therefore the lowest price per pumpkin is 3 for 10.59

. A fraction becomes 4 if one is added to both numerator and the denominator If 5 is subtracted from 5
both the numerator and the denominator the fraction becomes 1⁄2, find the fraction.

Class 10 cbse maths

Answers

the answer is 7/9. ...........

Geometry question. “Find the value of x that will make A||B.” Brainliest to whoever is correct

Answers

Answer:

Step-by-step explanation:

The two angles are interior angles on the same side of the transversal. They are supplementary.

2x + 50 + 5x - 80 = 180             Combine like terms

7x - 30 = 180                              Add 30 to both sides

7x = 210                                     Divide by 7 on both sides

x = 210/7

x = 30

The perimeter of the rectangle below is 16 Solve for X​

Answers

Answer:

x = 5

Step-by-step explanation:

The opposite sides of a rectangle are equal , then perimeter

2(- 2x - 6) + 2(4x + 4) = 16 ← distribute parenthesis and simplify left side

- 4x - 12 + 8x + 8 = 16

4x - 4 = 16 ( add 4 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

x=1/4

Step-by-step explanation:

perimeter of a rectangle

2(L+w)

-2x-6(4x+4)

open the bracket

-2x(4x+4)-6(4x+4)

-8x^2-8x-24x-24

-8x^2-32x-24

2(-8x^2-32x-24)

-16x^2-64x-48

coefficient of x is 64

16=64x

x=1/4

What is the slope of the line represented by the equation y = -1/2x+ 1/4​

Answers

Answer:

y = mx+ b

m=slope

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slopeb = y-intercept

By comparing the formula to the equation given, it is clear the slope of the line is -1/2.

Example 5: Writing and Solving an Equation
The circles are identical. What is the area of each circle?
x + 2
4X
Please help…

Answers

Step-by-step explanation:

radius =x+2

diameter=4x

Diameter=2(radius)

4x=2(x+2)

4x=2x+4

4x-2x=4

2x=4

x=4/2

x=2

Subtitute x=2 in radius:

r=2+2=4

Area=πr²

Area=3.14×4²

Area=3.14×16

Area=50.24

Both the circles are identical so area is same.

Note:if you need to ask any question please let me know.

Find the least common multiple (LCM) of 6 and 10,
O A. 60
O B. 20
O C. 40
O D. 30

Answers

The answer is 30 I’m sure of it

2x² - 5x+1 has roots alpha and beta. Find alpha²+beta².
Please answer fast. I will mark the best answer as brainliest. ​

Answers

Answer:

[tex]\dfrac{21}{4}[/tex]

Hello,

Step-by-step explanation:

[tex]2x^2-5x+1=2(x^2-\frac{5}{2}+\frac{1}{2} )\\\\\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\frac{1}{2} \\\\(\alpha+\beta)^2=\alpha^2+\beta^2+2\alpha*\beta\\\\\alpha^2+\beta^2\\\\=(\alpha+\beta)^2-2\alpha*\beta\\\\\\=(\dfrac{5}{2} )^2-1\\\\=\dfrac{21}{4} \\[/tex]

If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?

Answers

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].

Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:

[tex](8-4)(2+3)=(4)(5)=20[/tex]

Hence, the maintained product is [tex]20[/tex].

Thus, we have the following equation:

[tex](x-4)(y+3)=20[/tex]

Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:

[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]

Which is the graph of the equation y- 1= 5(x-3)?

Answers

Answer:

linked below

Step-by-step explanation:

If you use desmos, it show this which is the correct graph :)

helppppppppppppppppppp

Answers

Answer to the question is -4

Answer:

x = -4

Step-by-step explanation:

-x+7 = -6x-13

Add 6x to each side

-x+7+6x = -6x-13+6x

5x+7 = -13

Subtract 7 from each side

5x+7-7=-13-7

5x = -20

Divide by 5

5x/5 = -20/5

x = -4

Identify the terms in the expression. (Enter your answers as a comma-separated list.)
5y3 + y + 3

Answers

5y3+y+3

5y4+3

I'm not sure but I think it will help you out

Write the equation of the line that passes through the points (-3,6) and (4,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

y = -5/7x + 27/7

Step-by-step explanation:

y2 - y1 / x2 - x1

1 - 6 / 4 - (-3)

-5 / 7

= -5/7

y = -5/7x + b

1 = -5/7(4) + b

1 = -20/7 + b

27/7 = b

[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]
How do you simplify that expression?

Answers

Answer:

[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]

rationalise the denomimator:

[tex] = \frac{ {x}^{ \frac{1}{4} } + 2 }{ {x}^{ \frac{1}{4} } - 2} . \frac{( {x}^{ \frac{1}{4} } + 2)}{ ({x}^{ \frac{1}{4} } + 2)} \\ \\ = \frac{ {x}^{ \frac{1}{2} } + 4 {x}^{ \frac{1}{4} } + 4 }{ {x}^{ \frac{1}{2} } - 4} [/tex]

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