Look at the graph.

On a coordinate plane, a graph increases through (negative 1, 4), levels off at (0, negative 3), and then increases up through (2, 5).

Leslie analyzed the graph to determine if the function it represents is linear or non-linear. First she found three points on the graph to be (–1, –4), (0, -3), and (2, 5). Next, she determined the rate of change between the points (–1, –4) and (0, -3) to be StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction = StartFraction 1 Over 1 EndFraction = 1. and the rate of change between the points (0, -3) and (2, 5) to be StartFraction 5 minus (negative 3) Over 2 minus 0 EndFraction = StartFraction 8 Over 2 EndFraction = 4. Finally, she concluded that since the rate of change is not constant, the function must be linear. Why is Leslie wrong?
The points (–1, –4), (0, –3), and (2, 5) are not all on the graph.
The expressions StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction and StartFraction negative 3 minus (negative 5) Over 2 minus 0 EndFraction both equal 1.
She miscalculated the rates of change.
Her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.

The mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.

We can use combinations for this case,

The Total number of distinguishable things is m.

Here, Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

If the order matters, then each of those choice of k distinct items would be permuted k! times,

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

We have to find the mathematical representation of 20P4.

[tex]^{20}P_4[/tex]

here, m = 20

k = 4

Now substitute;

[tex]^mP_k = \dfrac{m!}{ (m-k)!}\\\\^{20}P_4 = \dfrac{20!}{ (20-4)!}\\\\^{20}P_4 = \dfrac{20!}{ (16)!}\\\\\\^{20}P_4 = \dfrac{20 \times 19 \times 18 \times 17 \times 16!}{ (16)!}\\\\\\^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]

Hence, the mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ2

Answer:

4

Step-by-step explanation:

2 plus 2 is 4

Answer:

Many people would said 2+2=4

But since I love to breaks rules 2+2=3

Why? because I said so LOL

Have a good one

Answer:

b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

I hope this helps!!

Answer:

2:4

Step-by-step explanation:

Answer:

2:4

Step-by-step explanation:

Answer:

0.23 is greater

Answer:

0.23

Step-by-step explanation:

2.3% = 0.023

So 0.23*100=23% therefore larger than 2.3%

Any questions feel free to ask. Thanks

Answer:

The answer is <DOE

<DOE + <COD = A straight LINE, a.k.a, a LINEar pair

Sorry I'm late, But your answer is Infinitely many solutions. Have a good day!

Answer:

the second option, a=3 b=3 c=5

Step-by-step explanation:

first I would change them both into an improper fraction:

9/2 divided by 5/4

dividing is the same thing as mulitiplying by the reciprocal of the second number. so you would mulitply 9/2 x 4/5 = 36/10 and then you simplify back to a mixed number 3 6/10, 6/10 can be reduced so the final answer is 3 3/5.

Answer:

44

Step-by-step explanation:

22/25 = not blue

22 × 2 = 44

Answer:

a, y = 0

Step-by-step explanation:

when n<m or m>n, the horizontal asymptote is y=0

Answer:

if your talking about the point after 6 then it would be 3

Step-by-step explanation:

Step-by-step explanation:

3 - 2(b - 2) = 2 - 7b

To solve this first distribute -2 to (b - 2)

3 + (-2b + (-2) x -2) = 2 - 7b

when we simplify this it becomes:

3 + (-2b + 4) = 2 - 7b

We take (-2b + 4) out of the parenthesis:

3 - 2b + 4 = 2 - 7b

Now simplify again.

7 - 2b = 2 - 7b

Now send all the b's to one side and constants on the other.

7 - 2 = -7b +2b

5 = 5b

b = 1

Answer: +52

Step-by-step explanation:

From the question, we are informed that Mary owns 13 shares of a certain stock and that the value of each share went up by 4 dollars.

The total change in value of her shares will be gotten by multiplying the number of shares that Mary has by 4. This will be:

= 13 × 4

= 52

Answer:

Step-by-step explanation:

9/12 ounce = 3/4 = .75 ounce flour

Answer:

8x + 1.75 = y

Step-by-step explanation:

Read the question and look for key words.

In this questions the key words are Each and Total.

x is for each pizza purchased and y is total cost.

The delivery charge is a one time charge so no need to add a letter because people don't buy more than one delivery charge.

Hope this helps!

Answer:

Given equation and the graph of it:

1. What does the 5 in the equation represent?

2. What does 100t in the equation mean in terms of the rocket?

3. Approximately when does the rocket hit the ground?

4. What domain makes sense for the function in this context?

Domain of the function is:

This is the time the rocket is in the air until it hits the ground

Answer: it will hit the ground around 6.2 seconds

The domain is 0 ≤ t ≤ 6.3

Answer:

3/4

Step-by-step explanation:

Answer:

e(-6, 10)

f(-10, 10)

g(-3, 1)

Hope this helps.

Answso as to progress gradually and carefully from one stage to the next.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

x+23=2x+10

Then you need to have the x's on one side and the whole number on the other

x=13

Answer:

I believe transversal is the correct answer because it isn't a part of the triangle.

Answer:

-1 < y < 7

Step-by-step explanation:

< and not ≤

because the end points are not included

Answer:

7

Step-by-step explanation:

$1.05 is 105 cents 105/15=7

Answer:

The statement 50π=52πh is equivalent to 50=25h. Since 50 is 25 times 2, h=2 units.

The statement 36π=r2π4 is equivalent to 36=r2⋅4. Since 36 is 4 times 9, r2=9. This implies r=3 units.

Step-by-step explanation:

i think tht is right

x menos 11 menor que 7. .............................

Answer:

x < 18

Step-by-step explanation:

We have an inequality and are asked to solve.

To solve, we need to isolate x or by other means get x by itself.

X - 11 < 7

Add 11 to both sides :

x < 18

Now you could ask whether the inequality sign would change, no, this would only happen when you divide by a negative number.

Answer:

I dunno, why?

Step-by-step explanation: