Let f (x) = -1/2(x + 2)+ 5
-3 to x=1?
What is the average rate of change for the quadratic function from x=-3 to x=1

Answer:

1 ) - 15

2 ) 21

3 ) 49

4 ) 39

5 ) 89

Step-by-step explanation:

1 )

( - 8 ) + ( - 7 )

= - 8 - 7

= - 15

2 )

( + 12 ) + ( + 9 )

= 12 + 9

= 21

3 )

( - 43 ) + ( - 6 )

= - 43 - 6

= - 49

4 )

( + 23 ) + ( + 16 )

= 23 + 16

= 39

5 )

( + 73 ) + ( + 16 )

= 73 + 16

= 89

Answer:

f(x) = 2(x-5)²-2

Step-by-step explanation:

The equation of a parabola in vertex form is y=a(x-h)²+k where (h,k) is the vertex and "a" represents how stretched or compressed the parabola is and what direction it travels.

Given a vertex of (5,-2) the equation so far is y=a(x-5)²-2

Since we want the parabola to pass through the point (3,6) we must find a value of "a" that satisfies this:

y=a(x-5)²-2

6=a(3-5)²-2

6=a(-2)²-2

6=4a-2

8=4a

2=a

This means that the quadratic function is f(x) = 2(x-5)²-2

Answer:

I would say 16/663 but I still have a suspicion it may be 20/663

Step-by-step explanation:

Answer:

20/633

Step-by-step explanation:

The probability of drawing an even card is the total number of even cards divided by the total number of cards. There are 5 even values (2,4,6,8,10) and 4 of each in the deck. That means there are 20 even cards in a deck of 52 cards. The probability is 20/52.

Next, the probability of drawing a Queen is calculated, but now there are only 51 cards total because you removed the first card. There are 4 Queens in a deck of 51 cards. The probability is 4/51.

Therefore, the probability of these two events is the product of the probability of each: (20/52)(4/51) = 20/663

Step-by-step explanation:

[tex]270 \div \frac{ {3}^{4} }{9} + 40 \times (15 - 5) \\ = 270 \div \frac{3 \times 3 \times 3 \times 3}{9} + 40 \times (10) \\ = 270 \div \frac{81}{9} + 40 \times 10 \\ = 270 \div 9 + 40 \times 10 \\ = 30 + 400 \\ = 430[/tex]

Answer:

Multiply 17 by 100 / 12.5 to get the answer

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)

Answer:

Fred's age: 26    Natalie's age: 15

Step-by-step explanation:

    F + N = 41

-)  F + 3N = 71

____________

=> -2N = -30

=> N = 15

F + 15 = 41 => F = 26

Answer:

2/5

Step-by-step explanation:

also=4/10

4/10

=2/5

Here, Matt is bringing 0.4 of cake.

For the denominator:

We are taking 1 for [.] decimal and take 0 for 4.

So, its fraction becomes 4/10=2/5 [if we divide both denominator and lobe by 2].

Answer:

(x+7)(x+2) = 66

x^2+9x+14=66

x^2 + 9x -52 = 0

(x+13)(x-4) = 0

x = 4 bc the other root, -13, can't be used (it would make the dimensions negative values)

Answer:

r≈3.39cm

Step-by-step explanation:

Using the formula

V=πr2h/3

r=3V

πh=3·72

π·6≈3.38514cm

Answer:  45 players

Step-by-step explanation:

4+3+2=9 9x9=81   9x2=18. 9x3=27 27+18=45

Answer:

the answer is 484

Step-by-step explanation:

volume of the pyramid = (11×11×12) ÷3 =484

Answer:

the answer would be 385

Step-by-step explanation:

just listen to this because I did this last year.

11 by 11 is 121

11 by 12 is 132

you can multiply by two and get all 4 triangles done and the answer would be 385

Answer:

48

Step-by-step explanation:

Answer:

There are exactly 3 students with 4 pairs of shoes.

Step-by-step explanation:

Given

[tex]Pairs \to Dots[/tex]

[tex]1 \to 1[/tex]

[tex]2 \to 3[/tex]

[tex]3 \to 5[/tex]

[tex]4 \to 3[/tex]

[tex]5 \to 1[/tex]

Required

What does the 3 on 4 represents?

First, we plot the dot plot.

See attachment for plot

The dots represent the number of student

So 3 dots on 4 means that:

[tex]Students \to 3[/tex]

[tex]Pairs \to 4[/tex]

This implies that there are 3 students have exactly 4 pairs

Answer:

D) There are exactly 3 students with 4 pairs of shoes.

Step-by-step explanation:

It says number of pairs on the bottom which means how many and 1, 2, 3, 4, 5 are the pairs of shoes.

At the top it says Students' pairs of shoes which is the dots and that means how many students have that amount.

Hope I helped!!

Answer:

B

Step-by-step explanation:

We will first look at the end behavior of the graph

Is it down then up which means that the degree is 3 and the coeficcent is positive

this leaves B or C

We then know that the x intercepts are (-2,0) (1,0) (3,0)

The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!

looking at the B we have

-2³-2*-2²-5(-2)+6

this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)

You can also factor it and find the zeroes that way, but it's just more work

Answer:

Step-by-step explanation:

Answer: y=2x

Step-by-step explanation:

Answer:

The second choice has the largest rate of change by 3

Step-by-step explanation:

you find the slopes of all of them.

# 1 has a slope of 2

# 2.   [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]  = [tex]\frac{12 - 6}{3 - 1}[/tex] = [tex]\frac{6}{2}[/tex] = 3

# 3. has a slope of -5

# 4. [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex] = [tex]\frac{2.5 - 3}{1 - 0}[/tex] = [tex]\frac{-0.5}{1}[/tex]= -0.5

Answer:

C.  f(x) = 80(.97)^x

Step-by-step explanation:

If the population decreases by 3% each year, then it would be the same as multiplying it by 97% or 0.97 each year.

Answer:

550 mins

Step-by-step explanation:

Answer:

Step-by-step explanation: can you zoom that picture in cant see it

Answer:

16 bicycles

Step-by-step explanation:

Answer:

B. Inches

Step-by-step explanation:

Because it measures the length of something, Not the weight.

Answer:

C

Step-by-step explanation:

weight in the USA is usually measured in LBS (pounds)

Answer:

0.50

Step-by-step explanation:

Round up £5.99 to £6 (this makes the question easier to solve), then do £6÷12=0.5 (50p)

Answer:

Percentage decrease is 93‰

Step-by-step explanation:

I got you,

a) Work...

First equation: y = 4x + 3

Second equation: y = 2x + 11

If he wants to play 2 games...

y = 4 (2) + 3

y = 11

y = 2 (2) + 11

y = 15

Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.

b) Work...

seven games...

y = 4 (7) + 3

y = 31

y = 2 (7) + 11

y = 25

Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.

I hope this helps :)

Answer:

∠1 = 72°

Step-by-step explanation:

exterior ∠ = the sum of two opposite(remote) interior ∠s

∠1 = 37° + 35°

=> ∠1 = 72°

Answer:

72 degrees.

Step-by-step explanation:

Angle 1 is one of the triangle's exterior angles. The exterior angle theorem states that the measure of a triangle's exterior angle is equal to the sum of the opposite interior angles. Therefore, m<1 is equal to the sum of 35 and 37:

35+37=72

m<1 = 72 degrees

I hope this helps!