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MAVERICK [17]
2 years ago
7

A rocket is launched into the air the height in yards of the rocket is a function of time in seconds as shown in the following t

able what is the rockets average rate of change?

Mathematics
1 answer:
DedPeter [7]2 years ago
4 0

Answer:

-11

Step-by-step explanation:

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 6, f(b) = 0

Plug in the values into the formula

Average rate of change = \frac{0 - 33}{6 - 3}

= \frac{-33}{3} = -11

Average rate of change = -11

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Solve - 2/5x is less than or equal to 20
sashaice [31]

Answer:

x is less than or equal to 0

Step-by-step explanation:

- you need to multiply both sides of the inequality by 5/2

- then you reduce the numbers with the greatest common factor 5

- then you reduce the numbers with the greatest common factor 2

- any expression multiplied by 0 equals 0

- so you get x is less than or equal to 0

^^^ hope this helps! :)

8 0
3 years ago
(K3+2k2-82k-28)/(k+10)
Ne4ueva [31]

So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:

<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>

  • -10 | 1 + 2 - 82 - 28
  • ---------------------------

Now firstly, drop the 1:

  • -10 | 1 + 2 - 82 - 28
  •       ↓
  • -------------------------
  •        1

Next, you are going to multiply -10 and 1, and then combine the product with 2.

  • -10 | 1 + 2 - 82 - 28
  •       ↓ - 10
  • -------------------------
  •        1 - 8

Next, multiply -10 and -8, then combine the product with -82:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80
  • -------------------------
  •        1 - 8 - 2

Next, multiply -10 and -2, then combine the product with -28:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80 + 20
  • -------------------------
  •        1 - 8 - 2 - 8

Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).

<u>Putting it together, the quotient is k^2-8k-2-\frac{8}{k+10}</u>

8 0
2 years ago
What is the confidence interval estimate of the population mean percentage change in the price per share of stock during the fir
I am Lyosha [343]

Answer:

(-0.1059 ; - 0.0337)

Step-by-step explanation:

The data table is attached in the picture below:

These is a matched pair design ; which requires taking the difference of the two values for each sample :

The mean and standard deviation of the difference will be used to construct the confidence interval :

The mean of difference, dbar = Σx/n = - 0.0698

The standard deviation of difference, Sd ;

Sd = [√Σ(d - dbar)²/(n-1)] = 0.1054

n = sample size = 25

The confidence interval :

dbar ± [TCritical * Sd/√n]

Tcritical at 90% ; df = n -1 = 25 -1

Tcritical(90% , 24) = 1.1711

C.I = - 0.0698 ± (1.711 * 0.1054/√25)

C.I = - 0.0698 ± 0.0361

C.I = (-0.1059 ; - 0.0337)

5 0
2 years ago
Help please will award brainliest!!
OleMash [197]

Answer:

The answer is -x+12/ x (x-2)

Step-by-step explanation:

3 0
2 years ago
lance bought a square postage stamp to a mail a card to his cousin. if the stamp has 4 square centimeters.what was the dimension
Lubov Fominskaja [6]

The dimension of one side of the stamp was 2 centimeters

Step-by-step explanation:

The formula of the area of any square is A = l², where l is the

length of the side of the square

lance bought a square postage stamp to a mail a card to his cousin

∵ The stamp has 4 square centimeters

∴ The area of the stamp = 4 cm²

∵ The stamp shaped a square

∵ The formula of the area of the square is A = l²

- Equate the formula of the area of the square by the area of the stamp

∴ l² = 4

- Take √ for both sides to find l

∴ l=\sqrt{4}

∴ l = 2 cm

The dimension of one side of the stamp was 2 centimeters

Learn more:

You can learn more about the area of the shapes in brainly.com/question/10677255

#LearnwithBrainly

5 0
3 years ago
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