The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.

Where are the zeros of the function?
______and______

Are both zeros meaningful and why?

At what height is the ball thrown?

Answers

Answer 1

9514 1404 393

Answer:

zeros: t = 1, t = -1/2no: the domain of the function is t ≥ 08 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

  1 -t = 0   ⇒   t = 1

  8 +16t = 0   ⇒   t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

__

When t = 0 (at the time the ball is thrown), the function value is ...

  h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

The Function H Is Given By H ( T ) = ( 1 T ) ( 8 + 16 T ) Models The Height Of A Ball In Feet, T Seconds

Related Questions

On a coordinate plane, what is the distance between the point at (4, 7) and the point at
(-4, 7)?

Answers

Answer:

8

Step-by-step explanation:

Distance= √(-4-4)² + (7-7)²

= √(-8)² + (0)²

= √64

= 8

please help me on this ​

Answers

Answer:

40 inches

Step-by-step explanation:

16 * (30/12) = 40

Answer:

PQ = 40

Step-by-step explanation:

First, set up a proportion:

[tex]\frac{12}{16} =\frac{30}{x}[/tex]

Then, cross-multiply and solve:

[tex]12x = 16(30)[/tex]

[tex]12x = 480\\\\\frac{480}{12x} \\\\PQ = 40[/tex]

Hope this helped!

1 point
What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4

Answers

Step-by-step explanation:

Find the Center and Radius (x-4)^2+y^2=4

(

x

4

)

2

+

y

2

=

4

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

h

)

2

+

(

y

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

2

h

=

4

k

=

0

The center of the circle is found at

(

h

,

k

)

.

Center:

(

4

Answer ASAP!!!!!!!!!!! 20 POINTS

Salvador places a circular canvas on his A-frame easel and carefully centers it . The top of the easel forms a 30° angle and mBC = 22° . what is mAB?

Answers

Answer:56

Step-by-step explanation:

The measure for m (AB) is 128 degree.

What is Arc?

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference.

A curve contains an arc. A circle is the most common example of an arc, yet it can also be a section of other curved shapes like an ellipse.

We have,

The top of the easel forms a 30° angle and m (BC) = 22°.

As per the question,

AD = ED  and m<O = 30

So, m <OAE = m <OEA

                    = 1/2 (180 - m<D)

                    = 75

and, m <BEC = 1/2 (m BC)

                      = 1/2(22)

                      = 11

Then, m<BEA = m <OEA - m <BEC

                       = 75 - 11 = 64

Also, m (AB) = 2 x 64 = 128

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4х + 1= 3x + 2
does it have no solution one solution or infinitely many solutions

Answers

Step-by-step explanation:

4x-3x=2-1

×=1

that's fine

There’s only one solution

(3 x 4) + (3 x 7)
Pls help need it know

Answers

the answer to the equation is 33

what two numbers multiply to 56 and add to -15

Answers

Answer:

-7 and -8  

Step-by-step explanation:

because 7 times 8 equals 56 and negative times a negitive equals a positive and -7 added to -8 equals -15

The pair of numbers which fulfill the given condition 2.6 & -1.76

and -17.6 & 2.6.

What is a quadratic equation ?

An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.

Let x and y be the two numbers we're trying to find. We know that:

x * y = 56 (equation 1)

x + y = -15 (equation 2)

y = -15 - x (equation 3)

Substituting equation 3 into equation 1, we get:

x * (-15 - x) = 56

-x² - 15x + 56 = 0

x² + 15x - 56 = 0

Using the quadratic formula, we get:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 15, and c = -56.

Substituting the values, we get:

x = (-15 ± 20.2) / 2

x = (-15 + 20.2) / 2 = 2.6

x = (-15 - 20.2) / 2 = -17.1

For x = 2.6:

y = -15 - x = -15 - 2.6 = -17.6

So, one possible pair of numbers is x = 2.6 and y = -17.6.

For x = -17.1:

y = -15 - x = -15 - (-17.1) = 2.1

So, another possible pair of numbers is x = -17.1 and y = 2.1.

Therefore, the two numbers that multiply to 56 and add to -15 are approximately -17.1 and 2.6, or vice versa.

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Evaluate the expression when g = 28 and h=6.
G-3h

Answers

Answer:

hi Ion know but can u help me on my question

plz help me with this and plz show ur work!?! :)

Answers

Answer:

Total height lowered = 75m

No of times balloon lowered = 5

Height lowered in each lowering = Total height lowered / No of times balloon lowered

                                                      = 75 / 5

                                                     = 15 m

The number indicated that each time balloon is lowered by 15 m

plz help ...............................

Answers

Answer:

It is the right-angled triangle.

Step-by-step explanation:

According to the Pythagorean theorem, [tex]a^{2}+b^{2}=c^{2}[/tex], which c is the longest side of the triangle.

So, [tex]27^{2}+36^{2}=45^{2}[/tex] if the triangle is right angle.

[tex]LHS=27^{2} + 36^{2} = 2025[/tex]

[tex]RHS=45^{2}=[/tex][tex]RHS=45^{2} = 2025[/tex]

∵LHS=RHS

∴It is a right-angled triangle.

Answer:

The right angled triangle

How many times larger is 6 × 1011 than 2 × 10-5?
A.
3 × 1016
B.
3 × 1055
C.
3 × 10-55
D.
3 × 10-16

Answers

Answer:

A. 3 x 1016

I hope its help for you

What goes on the green box ?

Answers

Answer:

5^9 / 5^3 = 5^6

the answer is 6

Step-by-step explanation:

NEED HELP FAST PLEASE
Graph triangle DEF with vertices D(0,3),E(4,3),F(0,7)Rotate 180 degrees. Then translate using (x,y ) >(x-1,y-1)
FIND THE NEW PAIR OF COORDINATES!

Answers

Your new coordinates would be
D’(-1,-4) E’(-5,-4) F’(-1,-8)

Which expression represents: "the quotient of three times a number and 7?​

Answers

3n/7-2=4n-6

clear fraction .le, multiply by 7

3n-14= 28n -42

25n =28

n=28/25

n/7 =4/25

12/25-50/25= 112/25-150/25 = > 38=38.

The expression 3(r/t) "the quotient of three times a number, and 7 option (C) 3(r/t) is correct after applying the arithmetic operation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The expression is:

The quotient of three times a number and 7

Let the two numbers be r and t:

On division:

= r/t

= 3(r/t)

Thus, the expression 3(r/t) "the quotient of three times a number, and 7 option (C) 3(r/t) is correct after applying the arithmetic operation.

The missing options are:

3 + rt

r/3t

3(r/t)

3 ÷ (r/t)

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I really need help ASAP pls I think it’s c but I’m not sure

Answers

i think that the answer will be c

Answer:

C.

Step-by-step explanation:

Because angle TQR & angle TRU are complementary angles, meaning they add up to 90º.

So if TQR = 18, then:

(X- the measure of TRU)

X + 18 = 90

solve for x:

X + (18-18) = 90 - 18

X= 72

Hope this helps! Have a great day!

A diver is 50 ft below sea level. Which integer correctly represents the situation?

Answers

Answer:

50 feet below sea level. First, look for keywords. The word “below” means you will need to use a negative integer. The answer is -50.

Step-by-step explanation:

hope this helps...

(─‿─)

Negative integers are used to represent values below zero, and in this context, "-50" represents a depth of 50 feet below the sea level.

In the context of sea level and vertical position, we often use positive and negative numbers to represent positions above or below a reference point, which is usually considered to be sea level.

When we say the diver is 50 feet below sea level, it means the diver is at a depth of 50 feet under the surface of the sea. In this case, we use negative numbers to represent positions below sea level.

So, if we consider sea level as the reference point (zero level), the number line extends in both positive and negative directions. Positive numbers represent positions above sea level, and negative numbers represent positions below sea level.

Since the diver is 50 feet below sea level, we represent this as -50. The negative sign indicates that the diver is below the reference point (sea level), and the absolute value of 50 represents the depth of 50 feet.

Therefore, the integer -50 correctly represents the situation of a diver being 50 feet below sea level.

To know more about sea level.

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which is an answer to the following equation?
a/6 =7

1. a=13
2. a=1
3. a=42
4. a=1 1/6

Answers

Answer:

3. a =42

Step-by-step explanation:

2 ways you can go about this, you can either multiply 7x6 to get 42 as your answer. Or you can go through the options and divide each by 6 until eventually you'll find the one option that equals 7 which you would find is choice 3 a = 42

Betty has 427 oranges and needs to pack them up equally in 23 boxes. How
many oranges go in each box and how much does she have left over

Answers

it's 18 with a remainder of 13. I attached a photo that shows the work of it

A middle school is selling candy bars to raise money for new calculators. The graph shows the number of candy bars sold, x, and the amount of money collected, y.

Enter a value that completes the equation correctly.

Y=__x

Answers

Y=2.5x as each time it increases by 2.5
Y equals 2.5x because it increases 2.5

WILL MARK BRAINLIEST IF GOTTEN RIGHTT

Answers

Answer:

The answer is C.

Step-by-step explanation:

If you look at the shapes one of them is smaller than the other but they are still the same shapes so I think it is C.

ANSWER QUICKLY FOR 15 POINTS!! :,)

Mrs. Gregory’s class is building a model of a farm. They will use a cylindrical oatmeal container to make a portion of the barn. The container is 8 inches tall and has a radius of 2.5 inches.

What is the total surface area of the oatmeal container to the nearest tenth of a square inch?
164.9 square inches
157.1 square inches
39.3 square inches
125.7 square inches

Answers

Answer:

125.7 square inches long

Solve the pair of simultaneous equations and leave the answer as a fraction in

its lowest term. 2x − 3 = y, x+ y= 8​

Answers

Answer:

x = 11/3 = 3 2/3

y = 13/3 = 4 1/3

Step-by-step explanation:

Here, we want to solve the system of equations simultaneously

x + y = 8

2x -3 = y

From the second equation, we have an equation for y

we can simply proceed to substitute this into the first equation

x + 2x - 3 = 8

3x - 3 = 8

3x = 8 + 3

3x = 11

x = 11/3

Recall;

y = 2x - 3

y = 2(11/3) - 3

y = 22/3 - 3

y = (22-3(3))/3

y = (22-9)/3 = 13/3

write the equation for this table​

Answers

Y= +9

0+9=9
2+9=11
4+9=13
6+9=15

1.) The graph of g(x) = ax? opens downward and is narrower than the graph of f(x) = x? Which of the following
could be the value of a?
a. 5
b. 0.5
C. -5
d. -0.5​

Answers

Answer:

C. -5

Step-by-step explanation:

for g(x) =ax and f(x) = x, both are linear function. There is nothing to be upward or downward and both are lines nothing to compare its narrowness.

If g(x) = ax² vs f(x) = x²

Then a = -5 is the answer (-: downward and 5: vertical stretch)

Three friends are going to split the cost of a birthday gift. The gift cost $25. How much will each person have to pay (round to the nearest cent – which means nearest hundredth)?

Answers

Each person will have to pay $8.33

Maia walks 12 miles. Then she walks 1/4 of that distance.

Answers

Answer:

12×0.25 is definitely right

×0.25 is another way of finding a quarter of something. I looked at the other answers and I think this one is the only correct one

Can someone help !

Solve for x.

Answers

Answer:

3) x = -4

4) x = 9

Step-by-step explanation:

3) (x+15)+(x+16) = 23

2x+31 = 23

2x = -8

x = -4

4) (2x-12)+1 = (x-2)

2x-11 = x-2

x = 9

is the slope (+) (-) (zero) or (unidentified)​

Answers

Answer:

zero is the answer brainliest plz

Step-by-step explanation:

HURRY PLEASEEEEEE eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

rate: 24:2

unit rate: 12:1

Step-by-step explanation:

Given function:

24 inches in 2 feetto find the rate and unit rate

What is the rate?:

24 inches would be the first digit and 2 feet would be the second one..

the rate would be 24:2..

What is the unit rate?:

unit rates would be the lowest form which means that you have to find a equivalent factor to find the unit rate..

24*2=12, 2*2=1

this also means 12:1

Therefore, the rate of 24 inches and 2 feet is 24:2 and the unit rate would be 12:1.

HELP DUE IN 15 MINS!

Reason 2:

-Division Property of Equality

-SAS Postulate

-AA Postulate

-Reflexive property of Congruence

-Given

-Vertical Angle Theorem

-SSS Postulate

-Prove

Answers

Answer:

Missing reasons:

1. Given (the ratios of corresponding sides)

2. Reflexive property of Congruence (same angle K)

3. SAS Postulate (two sides are similar and the included angle congruent)

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