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?

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.

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.

To know more about quadratic equation check:

https://brainly.com/question/30098550

#SPJ2

Answer:

8

Step-by-step explanation:

Distance= √(-4-4)² + (7-7)²

= √(-8)² + (0)²

= √64

= 8

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!

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!

Answer:

zero is the answer brainliest plz

Step-by-step explanation:

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)

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

Answer:

125.7 square inches long

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

Step-by-step explanation:

4x-3x=2-1

×=1

that's fine

Answer:

hi Ion know but can u help me on my question

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

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:

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.

https://brainly.com/question/29898031

#SPJ2

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

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.

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)

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

A. 3 x 1016

I hope its help for you

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

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

Answer:

rate: 24:2

unit rate: 12:1

Step-by-step explanation:

Given function:

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.

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

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:

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)

Answer:56

Step-by-step explanation:

The measure for m (AB) is 128 degree.

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

Learn more about Arc here:

https://brainly.com/question/18741430

#SPJ5

Answer:

5^9 / 5^3 = 5^6

the answer is 6

Step-by-step explanation: