-4x - 9(x - 2)? Need help

Answer:

1)27.25 feet

2)-0.2774,2.027

3)Domain = All real numbers

Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]

Step-by-step explanation:

The height of the football, h, at time t seconds is modeled by the equation [tex]h(t) = -16t^2 + 28t + 15[/tex]

General quadratic equation : [tex]ax^2=bx+c=0[/tex]

1) Maximum height will be at [tex]\frac{-b}{2a}=\frac{-28}{2(-16)}=\frac{7}{8}[/tex]

To find maximum height Substitute [tex]t = \frac{7}{8}[/tex] in the given equation

[tex]h(t)=-16(\frac{7}{8})^2+28(\frac{7}{8})+15\\h(t)=27.25 feet[/tex]

2)

Substitute h(t)=6

So, [tex]-16t^2+28t+15=6[/tex]

[tex]-16t^2+28t+9=0\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-28\pm \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=\frac{-28+ \sqrt{28^2-4(-16)(9)}}{2(-16)},\frac{-28- \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=-0.2774,2.027[/tex]

3)

Domain = All real numbers

Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]

Answer:

3/8 cups of sugar.

Step-by-step explanation:

By multiplying the denomintor by 2 you can get half of what it was.

Answer:

C

Step-by-step explanation:

Took quiz

Answer:

y = -1/2x + (-1)

Step-by-step explanation:

Answer:

1.5 meters per second

Step-by-step explanation:

30 meters in 20 seconds. U need to "separate" the 30 seconds into 20 parts so u have to divide:

30/20 = 1.5

Answer: 1.5 meters

Step-by-step explanation:

To find how many meters in 1 second we need to make a unit. We'll use fractions in this case...

30 meters     ÷ 20               1.5 meters

--------------                    =       -----------------

20 seconds   ÷   20              1 second

This is a fancy was of saying 1.5 meters per 1 second.

Answer:

30 inches long

Step-by-step explanation:

width=5

length=6x5

6x5=30

length=30

Answer:

5400

Step-by-step explanation:

basic math

Answer:

5400

Step-by-step explanation:

Answer:

Step-by-step explanation:

amount earned in 1 hr = $8

therefore, amount earned in 12 hrs = 12 x 8 = 96

let the amount earned in 1 hr be x

therefore, the amount earned in 12 hours = 12x

Hope this helps

plz mark as brainliest!!!!!!

Answer:

Pls attach graph

Step-by-step explanation:

Answer:

plz i need help

Step-by-step explanation:

Answer:

27 years

Step-by-step explanation:

Given that :

Adrian's age = 3

Father's age = 34

In how many years will Adrian be twice as young as his father?

Let the number of years = x

2(3 + x) = 34 + x

6 + 2x = 34 + x

2x - x = 34 - 6

x = 28

Answer:

3.43

Step-by-step explanation:

Answer:

A. (1/2)(4+i)= 2+ (1/2)i

Step-by-step explanation:

The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 4+i

Multiply it by 1/2

[tex]= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i[/tex]

[tex]\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i[/tex]

Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

Learn more about the complex number here:

https://brainly.com/question/10251853

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Answer:

Transformations of function -3(4x)² - 5:

Answer:

short story has 32 pgs

novel has 416 pgs

Step-by-step explanation:

a novel (N) has 13 times as many pages as a short story (x) so, N = 13X

total pages is the equation N + x = 448

plug the equation for N into this

13x + x = 448, combine like terms

14x = 448, divide both sides by 14

x = 32. so now we know that the short story has 32 pages. subtract that from 448. and the novel has 416 pages.

There are 32 pages in the short story and 416 pages in the novel.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Let x be the number of pages in the short story.

We know that the novel has 13 times as many pages as the short story, so the number of pages in the novel is 13x.

The combined number of pages in the books is the sum of the number of pages in the short story and the number of pages in the novel, which is x + 13x = 14x = 448 pages.

So the number of pages in the short story is x = 32 pages.

And the number of pages in the novel is 13x = 13 × 32 = 416 pages.

To learn more about numerical expression click here :

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Answer:

yes, that is correct

Step-by-step explanation:

- (20÷39) = - 0.513

- 0.513 * 1.43 = - 0.734 ~ - 0.75

Answer:

270 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

81

Step-by-step explanation:

25​, 36​, 49​, 64​, ...

36 - 25 = 11

49 - 36 = 13 = 11 + 2

64 - 49 = 15 = 13 + 2

64 + 15 + 2 = 81

Answer:

It should be 62.5 or 62.50.

Step-by-step explanation:

Here's why..........it would be very difficult to it another way so here is what I did....you have to find out how much 1 foot would cost which was 1.25 then multiply that by 50 and you will get 62.50.

Answer: 1 inch equals 4 feet

Step-by-step explanation:

By an online search, I´ve found that:

The park is 48 ft long.

Caitlin´s drawing is 12 inches long.

To find how much each inch represents, we need to take the quotient between those lengths:

48ft/12in = 4ft/in.

We also can write this amount as:

4 feet per inch.

This means that each inch represents 4 feets.

Then the correct option is the first one:  1 inch equals 4 feet

Answer:

x = john

x + 3 = ahmad

x + (x + 3) = 63

2x + 3 = 63

2x = 60

x = 30

john is 30 so ahmad is 33