what is the average rate of change
y - 3 = -12 (x + 4)​​

Answers

Answer 1

Answer:

[tex] - 12x[/tex]

Step-by-step explanation:

[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]

Thr answer is the slope.

Answer 2

Answer:

[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

The average rate of change of a function f ( x )  over the interval  [ a , b ]  is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]f(x)=\frac{3}{x-2}[/tex]

and [tex][a,b]=[4,7][/tex]

[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]

[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]

The rate of change is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]

[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]


Related Questions

Myra can fill 18 glasses with two containers of ice tea how many glasses can she fill with three containers of iced tea ​

Answers

Answer:

27

Step-by-step explanation:

If we divide 18 by 2, we get 9. 9 is how many glasses each container of ice tea can fill. 3 x 9 = 27

Helppppp Meeeeee !!!!!!!!!

Answers

Answer:

a) draw the triangle using the graph points

b) move the triangle 3 points to the left and 1 point down

c) translation

d) draw this shape

e) write down the coordinates

Step-by-step explanation:

The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.

Your answer should be a polynomial in standard form. ( d^2 +3) (d^2 +2d +1)

Answers

Answer:d^4+2d^3+4d^2+6d+3

Step-by-step explanation:

A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?

Answers

Answer:

see below

Step-by-step explanation:

h(t)=-16t^2+48t+64

Find when h(t) = 64

64 = -16t^2+48t+64

Subtract 64 from each side

0 =  -16t^2+48t

Factor

0 = -16t( t-3)

Using the zero product property

-16t =0    t-3 =0

t=0 and t=3

Other than at t=0,  so at t=3 seconds

How long will it take for f ball to reach its maximum height?

Find the vertex

t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds

It will reach the maximum height at 1.5 seconds

What is the maximum height reached by the ball?

The height will be

h(1.5) = -16*(1.5)^2+48(1.5)+64

       = -36+72+64

       = 100

The maximum height is 100 ft

How long will it take for the ball to hit the ground?

h(t) =0

0=-16t^2+48t+64

Factor

0 = -16( t^2 - 3t -4)

0=- 16( t-4) (t+1)

Using the zero product property

t-4=0     t+1=0

t =4     t = -1

Since time cannot be negative

t=4 seconds

Find the value of 10 to the 4th power.

Answers

Answer: 10,000

Step-by-step explanation: 10x10x10x10=10,000.

Answer:

10000

Step-by-step explanation:

Jason left his house at 9:58 A.M. He arrived at
the baseball field 16 minutes later. At what
time did Jason arrive at the baseball field?

Answers

Answer:

10:14

Step-by-step explanation:

He arrived to the baseball field at 10:14 A.M.

Tommy and Arnold are playing with water balloons. Arnold is standing by a bush that is 20 feet from where Tommy is standing. Tommy released a water balloon at 5 feet above the ground and hits Arnold’s chest- which is also 5 feet above the ground. The balloon reached a maximum height of 15 feet off the ground. using Tommy’s location as the starting point, help Tommy write an equation that describes the path of the water from the point of release to Arnold's chest. Using the equation y=a(x-h)^2+k

Answers

Answer:

The equation that describes the path of the water balloon is:

[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]

Step-by-step explanation:

The motion of the water balloon is represented by quadratic functions. Tommy launches a water balloon from [tex]A(x,y) = (0\,ft, 5\,ft)[/tex] and hits Arnold at [tex]B(x,y) = (20\,ft, 5\,ft)[/tex]. Given the property of symmetry of quadratic function, water ballon reaches its maximum at [tex]C(x,y) = (10\,ft,15\,ft)[/tex], which corresponds to the vertex of the standard equation of the parabola, whose form is:

[tex]y = a\cdot (x-h)^{2}+k[/tex] (Eq. 1)

Where:

[tex]a[/tex] - Vertex parameter, measured in [tex]\frac{1}{ft}[/tex].

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex, measured in feet.

[tex]x[/tex], [tex]y[/tex] - Horizontal and vertical location of the ball, measured in feet.

If we know that [tex]x = 0\,ft[/tex], [tex]y = 5\,ft[/tex], [tex]h = 10\,ft[/tex] and [tex]k = 15\,ft[/tex], the vertex parameter is:

[tex]5\,ft = a\cdot (0\,ft-10\,ft)^{2}+15\,ft[/tex]

[tex]a = \frac{5\,ft-15\,ft}{(0\,ft-10\,ft)^{2}}[/tex]

[tex]a = - \frac{1}{10}\,\frac{1}{ft}[/tex]

The equation that describes the path of the water balloon is:

[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]

Help with these math questions grade 12

Answers

Answer:

1. 15.1%

2. 8.3%

3. 12%

4. 25%

Step-by-step explanation:

1.

percent change = (new number - old number)/(old number) * 100%

percent change = (21300 - 18500)/(18500) * 100%

percent change = 15.1%

A positive percent change is a percent increase.

Answer: The percent increase is 15.1%.

2.

percent change = (new number - old number)/(old number) * 100%

percent change = (298000 - 325000)/(325000) * 100%

percent change = -8.3%

A negative percent change is a percent decrease.

Answer: The percent decrease is 8.3%.

3.

percent change = (new number - old number)/(old number) * 100%

percent change = (110 - 125)/(125) * 100%

percent change = -12%

A negative percent change is a percent decrease.

Answer: The percent decrease is 12%.

4.

percent change = (new number - old number)/(old number) * 100%

percent change = (1500 - 2000)/(2000) * 100%

percent change = -25%

A negative percent change is a percent decrease.

Answer: The percent decrease is 25%.

3.94x+36 =15.5236+
6x

Answers

Answer

i think its 9.94

Step-by-step explanation:

Answer:

x = 9.94

Step-by-step explanation:

(01.03 MC)
What is the simplified expression for 3* •2°•3?? (1 point)
24
O 1) 3
2
2)
3)
2
14) 2

Answers

Answer:c

Step-by-step explanation:

Steven sells bags of different kinds of cookies. He made $27 selling bags of Oreos, $18 selling chocolate chips cookies, and $45 selling chunky sugar cookies. Each bag of cookies costs the same amount. What is the most that Steven could charge for each bag of cookies?

Answers

Answer:

9 dollars

Step-by-step explanation:

It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.

Can someone help me with this? Multiply (3.1•10^5)(1.8•10^2)

Answers

Answer:

5.58 x 10^7

Step-by-step explanation:

what is the answer for −3x−6+(−1)

Answers

Hi it would be -9x-1 hope that helps

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

-6+-1 = -6-1 = -7

Hence, it's -3x-7

Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 12 ft, what is the surface area of the cover?

Answers

Answer:

oi

Step-by-step explanation:

Answer:

11 feet maybe

Step-by-step explanation:

Which one?
A. B. C. or D? ​

Answers

Answer:

Its B

Step-by-step explanation:

Its B prob

If you answer someone's question=1 brainliest

Answers

Answer:I'mconfused

Step-by-step explanation:

A car and a motorcycle, starting 35 miles apart, travel directly away from each other. The car averages 60 miles per hour and the motorcycle averages m miles per hour. The distance (d) between them after h hours can be determined using the equation below. Which equation could be used to find the distance between the car and the motorcycle after 2.5 hours?

Answers

Answer:

d = 60h + 35

Step-by-step explanation:

60 = Slope

35 = Y-intercept

You would just input whatever amount of time you need to the variable h in order to find the value of d.

A youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. What is the cost of each item

Answers

Answer:

The cost of a can of popcorn is $10.

The cost of a box of cookies is $5.

The cost of a can of popcorn is $20

Step-by-step explanation:

First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.

Defining the variables:

x: cost of one pound of candyy: cost of a box of cookiesz: cost of a can of popcorn

Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:

2*x + 3*y + 1*z=65 Equation 1

Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:

4*x + 6*y + 3*z=140 Equation 2

Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:

8*x + 8*y + 5*z=250 Equation 3

Then the system of equations is formed by these three equations.

A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.

Isolating z from Equation 1:

[tex]z=65-2*x-3*y[/tex] Equation 4

Replacing in Equation 2:

4*x + 6*y + 3*(65 -2*x-3*y)=140

4*x + 6*y + 195 - 6*x  - 9*y= 140

-2*x - 3*y=140-195

-2*x - 3*y=-55

2*x + 3*y= 55

and isolating x:

[tex]x=\frac{55-3*y}{2}[/tex] Equation 5

Replacing in Equation 4:

[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]

z=65 - (55-3*y) - 3*y

z= 65 -55 + 3*y - 3*y

z= 10

So the cost of a can of popcorn is $10.

Replacing equation 5 and the value of z in equation 3:

8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250

[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250

4*(55 -3*y)+ 8*y + 5*10=250

4*55 - 4*3*y + 8*y + 50=250

220 - 12*y + 8*y + 50=250

-12*y + 8*y= 250 -220 - 50

-4*y= -20

[tex]y=\frac{-20}{-4}[/tex]

y= 5

So the cost of a box of cookies is $5.

Finally replacing the value of y in Equation 5 you get the value of x:

[tex]x=\frac{55-3*5}{2}[/tex]

[tex]x=\frac{55-15}{2}[/tex]

[tex]x=\frac{40}{2}[/tex]

x=20

Finally, the cost of a can of popcorn is $20

Simplify the expression:
(1 + 5h)(4)

Answers

Answer:

20h + 4

Step-by-step explanation:

It's easy. Just disperse the multiplying by 4 to the others in the first group.

Multiply 1 by 4, and you get 4.

Multiply 5h by 4, and you get 20h.

The answer is 20h + 4.

If this question helped you, please rate and click THANKS!

Giving Brainliest
Jabari and his friend both started a part-time job at the Swimming Hole earning $13 per hour. Jabari worked 14 ½ hours his first week. Jabari agreed to pay his friend 1/10 of his salary for reimbursement of gas. How much money did Jabari pay his friend for gas?

Answers

Answer: the answer would be 18.85

Step-by-step explanation:

multiply 13 by 14.5 then divide by 1/10

Answer:

18.85

Step-by-step explanation:

Helllpppp me please!

Answers

Answer:

b. 0.225

Step-by-step explanation:

tan = opposite / adjacent

opposite of A is 9

adjacent of A is 40

9/40=0.225

It is B 0.225 I don’t know for sure but I think it is

Find the volume of this object. Use 3 for pi. (CAN ANYONE HeLP:))

Answers

Step-by-step explanation:

sorry for the rough handwriting but that's that

Buddy downloaded 16 apps in 24 seconds. At this rate, how many apps could he download in one minute? (24 seconds = 2/5 of a minute) (1-1 Unit Rate)

Answers

I think it’s 60. You divide 24 by 16 then multiply by 4 I got 60
i think its A but im not sure.

Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid Part A Which value is greater than Ryan's decimal and less than Sarah's decimal A.70/100+4/100 B. 60/100+5/100 C. 80/100 D. 80/100+15/100

Answers

Answer:

A

Step-by-step explanation:

Here, we want to select which of the options is greater than Ryan’s decimal but less than Sarah’s

Ryan shades 70 out of 100 so his decimal will be 70/100 = 0.7

Sarah shades 80 out of 100, so his decimal will be 80/100 = 0.8

So we want a decimal greater than Ryan’s but less than Sarah’s

Let’s take a look at the options

The first option would be 70/100 = 0.7 + 4/100 = 0.7 + 0.04 = 0.74

We can see that this is greater than 0.7 but less than 0.8

So, this is our answer

=-09i8u9yh8guvyh bcnvjhulygtfrdsezawDFxcghjiuhygtfyhvbjkliouyggvbjhkio;uytfrderswaqwszedrtfyguhiiio

m= 4/5 - 2/5
————- = ?
-1 - -2

Answers

Answer:

2/5 = 4/5 - 2/5 = m

write the sentence as an equation 253 is the product of 69 and g

Answers

Answer:

253=69g or 253=69(g)

Step-by-step explanation:

Which point represents the unit rate?

Answers

Answer:

Point C

Step-by-step explanation:

Unit rate is always how much it is for 1 and point C has a 1 in it's coordinate pair. It isn't point B because point B is not graphed on the line.

Answer:

C.

Step-by-step explanation:

Ambrose and Kaitlin are volunteering at a food bank. They both start at the same time. Kaitlin takes 13 minutes to pack a box with donated food. Ambrose takes 7 minutes to pack a box. After how many minutes will they finish packing boxes at the same time?

Answers

Answer:

They will finish packing boxes at the same time after 91 minutes.

Step-by-step explanation:

From the question,

Kaitlin takes 13 minutes to pack a box while Ambrose takes 7 minutes to pack a box. That is,

Kaitlin will finish packing a box after every 13 minutes and Ambrose will finish packing a box after every 7 minutes.

To determine when they will finish packing boxes at the same time, we will list the times they will finish packing boxes

For Kaitlin, she will finish packing box(es) at the following times:

13th minute, 26th minute, 39th minute, 52nd minute, 65th minute, 78th minute, 91st minute, 104th minute etc.

For Ambrose, he will finish packing box(es) at the following times:

7th minute, 14th minute, 21st minute, 28th minute, 35th minute, 42nd minute, 49th minute, 56th minute, 63rd minute, 70th minute, 77th minute, 84th minute, 91st minute, 98th minute, 105th minute etc.

From above, we can observe that, Ambrose and Kaitlin will finish packing boxes at the 91st minute.

Hence, They will finish packing boxes at the same time after 91 minutes.

Is the statement true or false? If false, give a counterexample.

For all real numbers a, b and c, a(b + c) = ab + bc.

A. true
B. false; a(b + c) = ab − ac
C. false; if a = b = c = 1, then 1(1 + 1) ≠ 1(1) + 1(1)
D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)

Answers

Answer:

D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)

Step-by-step explanation:

A is false, because the a is being distributed/ being multiplied to all terms inside the parenthesis, and not the term b.

B is also false. There is no indicated negative signs.

C is also false because 1(1 + 1) is EQUAL to 1(1) + 1(1)

D is true.

SOMEONE HELP ME WITH THIS PLSSS ITS REALLY IMPORTANT IDK WHAT TO DO ​

Answers

A) 13
B) 23
C) -5
D) 5
E) 16
F) 7
G)8
H)4
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