Enter the difference between the rates of change for these two functions.

Enter The Difference Between The Rates Of Change For These Two Functions.

Answers

Answer 1
Answer:   2

========================================

Explanation:

Let's find the slope of the graphed line

Use the slope formula on two points from the diagonal line. I'll pick the two points (-1,-2) and (0,2) to get

m = (y2-y1)/(x2-x1)

m = (2-(-2))/(0-(-1))

m = (2+2)/(0+1)

m = 4/1

m = 4

The slope of the graph is 4. This is the same as the rate of change for this graph.

-----------------

Repeat those steps for the data table

I'll pick the first two rows (0,-6) and (2,-2)

m = (y2-y1)/(x2-x1)

m = (-2-(-6))/(2-0)

m = (-2+6)/(2-0)

m = 4/2

m = 2

The slope, or rate of change, here is 2

-----------------

Now subtract the two slopes: 4-2 = 2

The answer is 2.

Answer 2

The difference between the rates of change for these two functions

is 2.

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.

We know the slope(m) between the two points (x₁, y₁) and (x₂, y₂) is given by, m = (y₂ - y₁)/(x₂ - x₁).

The two coordinate points of the graph of the line are (0, 2) and (- 1, - 2).

slope(m₁) = (- 2 - 2)/(- 1 - 0).

slope(m₁) = 4.

Slope(m₂) = (- 2 + 6)/(2 - 0).

slope(m₂) = 2.

Therefore, The difference between the rate of change of the two functions is, m₁ - m₂ = 4 - 2 = 2.

learn more about slopes here :

https://brainly.com/question/3605446

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Related Questions


What is the slope of the line do the point for me to?

Answers

Answer:

Step-by-step explanation:

we can see that the line goes thru the point (-1,2) and (4,-2) now to find slope we just find change in y over change in x

more visually:

(y1-y2)/(x1-x2)

so for the point (-1,2) let’s say

-1 = x1

and

2 = y1

and for the point (4,-2) let’s say

4 = x2

and

-2 = y2

to find slope we plug in the values to our slope equation and we get this:

(2-(-2))/( -1-4)

(2+2)/-5

4/-5

so slope is -4/5

because to get from (-1,2) to (-4,-2) you have to move down 4 and to the right 5

Karen purchased a prepaid phone card for $15. Long-distance calls cost 19 cents a minute using this card. Karen used her card only once to make a long-distance call. If the remaining credit on her card is $12.91, how many minutes did her call last?

Answers

Answer:

I am pretty sure the answer is 11 minutes and the cost was $2.09

Step-by-step explanation:

Ihope this helps you:)

Step-by-step explanation:

Ok so we start with $15 now the remaining amount is $12.91, so let's substract

15.00 - 12.91 = 2.09

Alright now I must work with this number, since every minute used on the call is 19 cents, i must divide 2.09 to see how many 19 cents fit into this number

2.09 / 0.19 = 11

So she lasted talking or in this call 11 minutes....

I hope this helps!

Help will give crown

Answers

Replace x with the values in the table and solve.

25-3(2)= 25-6 = 19

25-3(4) = 25-12 = 13

25-3(5) = 25-15 = 10

25-3(6) = 25-18 = 7

You have to sub in the x value on the chart into the equation so

When x=2
y=25-3(2)
Y=19

When x=4
y=25-3(4)
y=13

When x=5
y=25-3(5)
Y=10

When x=6
y=25-3(6)
y=7

The shape shown consists of three sides of a rectangle together with a semicircle. Which of the following is
closest to the perimeter of the shape? (The dashed line is not a part of the perimeter.
(1) 56.1
(2) 44.6
(3) 38.3
(4) 32.5

Answers

Answer:

The perimeter of the shape is 32.5

Step-by-step explanation:

Since the dashed line is not a perimeter,

we add the circumference of the circle plus the 3 sides of the rectangle

The circumference is of the half circle with its diameter being the opposite side of the rectangle

The opposite side is the length 10

So the radius is half of this which is 10/2 = 5

The circumference of the semicircle is thus;

pi * r = 22/7 * 5 = 15.71

full circle is 2 * pi * r

semi is half of full so we divide formula by 2

So let’s add up

15.71 + 10 + 3.4 + 3.4 = 32.51

A building is 50 feet tall and casts a 25 foot shadow. If Mark is 6 feet tall, how long would
his shadow be?

Answers

Answer:

Mark's shadow would be 3 feet.

Step-by-step explanation:

If a building is 50 feet tall and casts a 25 foot shadow, then the shadow of an object is 1/2 the length of the actual object.

This can be supported by the division problem:

50 ÷ 2 = 25

If Mark is 6 feet tall, then we need to divide 6 by 2 in order to find the length of the shadow.

6 ÷ 2 = 3

Therefore, Mark's shadow would be 3 feet.

Hope this helps! :D

mark’s shadow would be 3 feet because if the building is 50 feet tall & the shadow is 25 feet, it’s divided in half so his shadow is going to be 3 feet tall since he is 6

how many times does 70 go into 2,800

Answers

Answer:

40

Step-by-step explanation:

Answer:

40

here is the awnser buddy I hope it's right

Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz

Answers

Answer:

.16

Step-by-step explanation:

All you do is double each number by 4.

Answer:

1.6 cups of sugar

Step-by-step explanation:

1 batch=0.4 cups

So if you want 4 batches, you would have to quadruple the amount of sugar

0.4x4=1.6

Which of the following is a fifth degree trinomial with a quadratic term and a negative leading
coefficient?

Answers

Please enter in a picture

HELP ME, PLEASE. I REALLY NEED IT
Find x:
[tex]S=\frac{1}{sin2x}+\frac{1}{sin4x}+\frac{1}{sin8x}+...+\frac{1}{sin2^{n}x }[/tex]

Answers

Answer:

cotx - cot2ⁿx

Step-by-step explanation:

Note: finding the sum not x

First rewrite the first term as:

1/sin2x = sinx / (sinxsin2x)  = sin(2x-x) / (sinxsin2x)  =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2x

Now the sum is:

S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿx

Need a quick answer please

Answers

Step-by-step explanation:

S is equal to Q

Q= 48.5

there are two angels (S,Q). They equal 48.5

so 48.5x2= 97

all angels together (QRSP) equals 360

you can take the 97 and subtract it from the 360 =263

divide 263 to get the angels for P and R

S= 48.5

Q=48.5

R=131.5

P=131.5

Solve for x !!!!!!!!!!!!!!!!

Answers

Answer:

-9

Step-by-step explanation:

180=85+44+60+(x)-9

Answer:

A. -9

Step-by-step explanation:

A triangle equals 180 degrees so:

60 + 85 + x + 44 = 180

add like terms

x + 189 = 180

subtract 189 from both sides

x = -9

-3(4x-2)-2 is equvalnt to what eqatuion

Answers

Answer:

−12x + 4

Step-by-step explanation:

Distribute:

= ( − 3 ) ( 4x ) + ( − 3 ) ( − 2 ) + − 2

= − 12x + 6 + − 2

Combine Like Terms:

= − 12x + 6 + − 2

= ( − 12x ) + ( 6 + − 2 )

= − 12x+4

Situation #3: Jamie can type 243 words in 3 minutes. How many words can
she type in 10 minutes?

Answers

Answer:

810 words

Step-by-step explanation:

243 words per 3 minutes

243/3 to get 81 words per minute

81 times 10 = 810

I ain’t never seen two pretty best friends

What is the answer to X ≥ 5

Answers

Answer:

X [tex]\geq[/tex] 5 =  [5,∞)

This is the number line:

4x - 4 < 8 AND 9x + 5 > 23

Answers

Answer:

- infinite 3 for the first one. x<3

x>2 ....2 infinite

HELP ME SOLVE THIS... BRAINLIEST AND 25 POINTS WILL BE GIVEN

Answers

it says 13 points dont lie now but ill solve it wait
Here is the answer to problem 2. I could not post all answers at once because it would not let me. Please find the answers on the other questions you have written (comment if you can’t find them)

NEED HELP ASAP!!!!!!!

Answers

x=45

Why?

Becuz this triangle relies on 180 degrees. So 180-170= 10
10+125=135
180-135=45

Simplify.
2x^2−3xy+4y^2

Answers

it’s simplified as far as it can be. it’s not factorable either

Find the slope between the following points (-3, 4) AND (-7,-5).

Answers

Answer:

slope = [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex]            (-3, 4) (-7, -5)

[tex]\frac{4+5}{-3+7}[/tex] = [tex]\frac{9}{4}[/tex]

Carlos has a $5 bill. If he buys an eggplant, how much change will he receive?

A 2-column table with 4 rows titled Cost of Food at the Store. Column 1 has entries bag of apples, one eggplant, a bag of oranges, a bunch of broccoli. Column 2 has entries 2 dollars and 38 cents, 89 cents, 1 dollar and 75 cents, 1 dollar and 7 cents.

The following shows how Carlos can solve this problem. The renaming has been done for you. Find the difference.

5 dollars minus 89 cents

Carlos will receive $___
in change?

Answers

Answer:

$4.11

Step-by-step explanation:

i think

Which geometric series converges?
A. 1/5 + 2/5 + 4/5 + 8/5 +...
B. 1/5 + 6/5 + 36/5 + 216/5 +...
C. 1/5 + 2 + 20 + 200 +...
D. 1/5 + 1/20 + 1/80 + 1/320 +...

Answers

Answer:

D. 1/5 + 1/20 + 1/80 + 1/320

Step-by-step explanation: i got you bro

Answer:

answer is D

Step-by-step explanation:

Plz help ASAP!!!! I NEED IT!!!!!If you don't know the answer plz don't use an answer to say "oh idk" or sum like that

The shape we are referring to is the singular one

Which shapes are similar but not congruent to shape I?

The choices are the groups

Answers

Answer:

I wanna say the first picture second answer choice. Please tell me if I am right.

Step-by-step explanation:

Answer: The first group is the correct answer

Step-by-step explanation:

I took a test with this question got it right

Type the correct answer in the box. Use numerals Instead of words. Consider the function shown on the graph. у 8 8 02 4 2 2 X -10-8 -6 0 2 N- 6 6 8 10 -2 -4 -6 -8 Complete the statements to make them true,

domain x >
range y > ​

Answers

Answer:

Domain → [-5, ∞)

Range → [-2, ∞)

Step-by-step explanation:

Domain:

Domain of a function on from its graph is represented by the set of x-values (Input values).

Range:

Range of a function is a set of y-values (output values).

From the graph attached,

Graph starts from x = -5 and tends towards the infinity, so the domain will be,

Domain → [-5, ∞)

Similarly, y-values vary from y = -2 to y = ∞

Therefore, Range → [-2, ∞)

Given the graph of the function:

Domain is: [-5, ∞)

Range is: [-2, ∞)

Domain and Range of a Function

The domain of a function are all the values of x that are plotted on the x-axis, while the corresponding y-values are the range of the function.

Thus:

From the given graph representing a function:

Domain of the function is between -5 to infinity.

Range of the function is between -2 to infinity.

Therefore, given the graph of the function:

Domain is: [-5, ∞)

Range is: [-2, ∞)

Learn more abut domain and range of function on:

https://brainly.com/question/25915612

ANSWER PLEASE 40 POINTS!

Answers

Answer: |10 - (-8)|  

The absolute value is 18

Step-by-step explanation:

The distance between two numbers is a subtraction equation.

10 - (-8)  Subtracting a negative is like adding a positive

10 + 8 = 18

If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"

Answer:

|-10 - (-8)|

Step-by-step explanation:

Distance from 10 to 0: 10Distance from 0 to -8: 8Put them together (with absolute value): |-10 - (-8)|

I hope this helps!

Help please due in an 1 hour!!

Answers

Answer:

275

Step-by-step explanation:

1375-550/5-2

Answer:

275 per minute

Step-by-step explanation:

550/2=275

1375/5=275

2200/8=275

3025/11=275

therefore it is 275 ft. per minute

A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions. What are the coordinates of the mid point of AB?

Answers

Answer: the slope is m = 4/3

Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

2. -1/3x > 12

3. 5+x > 7

4.10-x < 30

5. 2+5x ≤ 3

6.6-2x ≥ 17

Step-by-step explanation:

What is the approximate area of the circle shown below?
A. 94 cm2
B. 11,310 cm2
C. 2827 cm2
D. 188 cm2

Please help

Answers

Answer:

Step-by-step explanation:

we have the diameter =60 cm, the radius is 60/2=30 cm

A circle is 3.14*r^2=2827 cm^2

Answer: C. 2827 cm2

Step-by-step explanation:

The area of a circle is calculated by pir^2; r = the radius

In the diagram, the diameter is provided. The radius is half of the diameter. 60/2 = 30, so the radius is 30 cm.

Plug these values into the formula

A = 3.14*30^2

A = 2827.43, which would round to 2827 cm2

PLEASSSEEEE HELP ME FIGURE THESE OUT ILL GIVE YOU ALL MY POINTS!!!

Answers

Answer:

LOL i don't even know

Step-by-step explanation:

Part 1: Explain what the following variables represent and how changing each one affects the monthly payment amount: P, i, and t.
Part 2: Explain how changing each variable (P, i, and t) affects the total cost of principal and interest over the life of the loan.

Answers

Answer:

Part 1 and 2: P represents principle, or the original cost of the mortgage. i represents the annualinterest rate (r/n), and t represents time. When you change the time it affects monthlypayments because theres either more or less time to pay off the mortgage. Having a longertime to pay off means you'll have lower monthly payments. When the interest rateincreases, the monthly payment increases. This is because the higher the interest rate, themore interest you're paying. Changing the principle means you either have more or lessmoney to pay off.P2: Increasing i will increase the total cost since more interest will be charged. Increasingtime means there's more periods for interest to gather so the total cost will increase.Shortening the time will decrease the total cost because there will be less time for interestto accumulate.

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