What is the average rate of change from x = 1 to x = 3?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Since at x = 1, y = -3, and at x = 3, y = 1

the slope is 2 meaning the average rate of change is 2

Answer 2
The average rate would be 2!

Related Questions

What are the places in decimals called.

Answers

Answer: the tenths place

Step-by-step explanation:

100 POINTS IF U GET THIS RIGHT!

Answers

The slope is 9/8! Because in the slope intercept form which is y=mx+b, the “m” value is the slope.

Answer:

9/8

Step-by-step explanation:

Slope- intercept form:

y = mx + b, where m is the slope

The line given:

y = 9/8x + 1/8

This includes the slope, which is:

m = 9/8

HELPPPPPPPPPPPPPPPPPP

Answers

It’s 2 units I think .

The sun of 3 less than 5 times a number and the number increased by 9 is 24. What is the number?

Answers

Answer:

the answer is 3

Step-by-step explanation:

5 x - 3 + x + 9 =24

6X + 6 = 24

6X =18

×=3

Option A: 40 trash bags for $6.29 Option B: 24 trash bags for $3.89
Which is the better option. Explain step by step-by-step. ​

Answers

Option B is a better option.

Step by step:

I divided 40/6.29 and got about 6.3.

I divided 24/3.89 and got about 6.1.

Which is less, 6.3 or 6.1?
If you said 6.1 you are correct, so option B has a less cost, making it a better option.

Thanksgiving Dinner Logic Grid Puzzle

Answers

Answer:

Step-by-step explanation:

7th grade math please help

Answers

Answer:

11.8

Step-by-step explanation:

brainlest

Genny's monthly salary was $2000in November. In December she received a 20% raise. In January, what was Genny's monthly salary?

Answers

Answer:400

Step-by-step explanation:

10%= 200

x2=400

Simplify 7-2 + 2(4 divide 1/2)

Answers

Answer:

21

Step-by-step explanation:

5 + 16 = 21

Answer:

21

Step-by-step explanation:

hope it helps

The rectangle PQRS is dilated by a scale factor of 34 first, and then reflected across the y-axis to form rectangle P'Q'R'S'.


What are the coordinates of the transformed rectangle P'Q'R'S'?

A.
P'(−1.25,−1.25), Q'(−5.25,−1.25), R'(−5.25,−3.25), S'(−1.25,−3.25)
B.
P'(−1.5,1.5), Q'(−4.5,1.5), R'(−4.5,3), S'(1.5,−3)
C.
P'(1.5,−1.5), Q'(4.5,−1.5), R'(4.5,−3), S'(1.5,−3)
D.
P'(−1.5,−1.5), Q'(−4.5,−1.5), R'(−4.5,−3), S'(−1.5,−3)

Answers

Answer:

The answer should be A.

Step-by-step explanation:

I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.

Answers

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

What is Compound interest?

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given monthly income of Ron is $3,142.23

Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = 0.055/12

time period = 40 years = 480 months

Principal amount = $314.223

Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]

Substitute, we get,

= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

P = (A.i/2)/(1-(1+i/12)⁻ⁿ)

Putting values, we get,

P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰

P = $3763.25

He will receive a monthly income of $3763.25.

But  given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.

So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

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Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p.t / D 7 ! 12t ! 8t 2 C 12t 3. Find the coordinate vector of p relative to B.

Answers

To calculate the relative vector of B we have to:

[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]

The coordenates of:

[tex]p(t)= 12t^3-8t^2-12t+7[/tex], with respect to B satisfy:

[tex]C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3[/tex]

Equating coefficients of like powers of t produces the system of equation:

[tex]\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.[/tex]

After solving this system, we have to:

[tex]C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}[/tex]

And the result is:

[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]

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Gigi graphs the parabola (x+1)2=2(y−3).

How does she proceed?

Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.

Answers

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

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Answer:

I took the quiz.

Step-by-step explanation:

What is an equation of the line that passes through the points (6, 2)and (-6, -8)

Answers

Answer:

Step-by-step explanation:

(-8 - 2)/(-6 - 6)= -10/-12= 5/6

y - 2 = 5/6(x - 6)

y - 2 = 5/6x - 5

y = 5/6x - 3

n/4 = -11

what does the N =

Answers

Answer:

N = -44

Step-by-step explanation:

have a great day! :)

Answer:

n=44

Step-by-step explanation:

n/4=11/1

crossmultiply

n=4×11=44

pls help!!

Dominick buys a package of soup mix that is 1.38 ounces. How many ounces are 6 packages of soup mix?​

Answers

Answer:

8.28

Step-by-step explanation:

this is the answer because

.08*6= .48

.3*6= 1.8

1*6=6

.48+1.8 = 2.28

6+2.28=8.28

help me please i’ll give you a brain list thingy thank youu

Answers

Answer:

Are the triangles similar?

1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate

2) SAS Postulate

3) congruent by ASA Postulate

4) SSS Postulate

5) congruent by AAS Postulate

6) SAS Postulate

Isosceles and Equilateral Triangles

1)  by isosceles something triangle theorem

if two angles of opposite sides are congruent the sides opposite of those are congruent.

4x-12=20

x=8

2) Triangle Sum Theorem - all angles add up to 180.

with Isosceles triangle theorem.

x= 70 degrees

y= 40 degrees

3)  2x-14 = x+17 ( I think )

x=34

4) The picture is cut out.

Step-by-step explanation:

A boat can travel 16 Kilometers per hour in still water. The boat travels 15 kilometers down a river and then 15 kilometers up stream. The entire trip takes 5.5 hours. Which equation describes the current, c, of the river?

a)
[tex] \frac{16}{15 + c} + \frac{16}{15 - c} = 5.5 [/tex]
b)
[tex] \frac{5.5}{16 + c} + \frac{5.5}{16 - c} = 15 [/tex]
c)
[tex] \frac{5.5}{15 + c} + \frac{5.5}{15 - c} = 16 [/tex]
d)
[tex] \frac{15}{16 + c} + \frac{15}{16 - c} = 5.5[/tex]

Answers

Answer:

d)

Step-by-step explanation:

the sites of the boat alone is 16 km/h.

downstream and upstream the effective speed is then influenced plus and minus by the current.

the distance traveled is 15km.

as speed = distance/time

then distance / speed = distance / (distance/time) = time

and we know the time it takes : 5.5 hours.

so, only answer d uses the right values in the "right places".

HELP PLEASE!!! WILL GIVE BRAINLIEST

Answers

Answer:

See below for answer

Step-by-step explanation:

Domain is the x-value in the ordered pair    

Range is the y- value in the ordered pair

1.  D = {3, 2, 1, 0}      R = {-5, -4, -3, -2}

2.  D = {-2, 0, 2, 4}   R = {1, 2, 4, 6}

3.  D = {10, 8, 6, 4}   R = {-1, 2, 5, 8}

4.  D = {-5, -3, -1, 1}   R = {-5, -3, -1, 1}

5.  D = {-4, -1, 2, 3}   R = {4, 0, 4, 6}

find the area of the parallelogram with the given information:​

Answers

Answer:

There is a area of triangle and there is two trapezium so 8×17=136

6.
3. Use the clues to determine
the number
I have 36 hundreds, 34 tens, and
7 ones. What number am I?

Answers

The number is 3947

It should be noted that 36 hundreds will be equal to:

= 36 × 100

= 3600

It should be noted that 34 tens will be:

= 34 × 10

= 340

7 ones will be:

= 7 × 1

= 7.

Therefore, the sum will be:

= 3600 + 340 + 7 = 3947

Answer:

3947

Step-by-step explanation:

a farmer takes 1 week to fill 6 bins of squash. At this rate,how long will it take to fill 360 bins

Answers

Answer:

60 weeks

Step-by-step explanation:

Setup a proportion.

[tex] \frac{weeks}{bins} \frac{1}{6} = \frac{w}{360} [/tex]

cross multiple

[tex]6w = 360[/tex]

now divide by 6

[tex] \frac{6w}{6} = \frac{360}{6} [/tex]

[tex]w = 60[/tex]

Answer/Step-by-step explanation:

Important Information:

1 Week to fill 6 Bins

Question to answer:

How Long will it takes to fill 360 Bins

Solution/Explanation:

360 Divided by 6 =

60 Week

Ophelia has 5 flower less than Daisy. Together they have 20 flowers. How many flowers have each of them?

Answers

20 divided by four is 5 so maybe it is four.


I tried

Which function has the smallest y-intercept?
1) f(x) = 5x
2) x + 3y = 12
3) the line that has a slope of 2 and passes through (-1,3)

Answers

Answer:

y=2x+1

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 2. So you can right away fill in the equation for a line somewhat to read:

y=2x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,3). When x of the line is 1, y of the line must be 3.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,3).

So, why not plug in for x the number 1 and for y the number 3? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1.

The equation of the line that passes through the point (1,3) with a slope of 2

is

y=2x+1

A network of roads connects locations T, O, W, N, and S. How many different routes are there to travel from T to W along the given roads (line segments) without retracing any part of the route or going to any town more than once per route?

Answers

Answer:

9 routes

Step-by-step explanation:

every time you make a route, you can make a symmetrical route on the other side.

Answer:

9

Step-by-step explanation:

in spring 2017, data was collected from a random selection of sta 2023 students. one of the questions asked how many hours they had worked in the past 24 hours. for the 39 randomly selected upperclassmen, the sample mean was 0.61 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 1.40 and the sample standard deviation was 2.65. what is the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen?

Answers

Step-by-step explanation:

Use the following information to answer the next 14 exercises: The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. n=

how many times can 10 go into 5228

Answers

522 hope this helps and good luck with what your doing

What is 3.50 rounded to the nearest whole ounce?

Answers

Answer:

4.00

Step-by-step explanation:

because it is rounding to the whole number

Answer

if 3.50 refers to ounces, it would round to 4.

Step-by-step explanation:

The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?

The distance from Jason's house to school is
meters.

Answers

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

1/8 x 5/6 as a fraction in simplest form

Answers

Answer:

5/48

Step-by-step explanation:

1/8 x 5/6 as a fraction in simplest form

1/8 * 5/6 =

5/48

The fraction in simplest form is 5/48.

Given that are two fractions 1/8 and 5/6, we need to find the product of the fractions,

To multiply fractions, we multiply the numerators together and the denominators together.

In this case, we have 1/8 multiplied by 5/6.

1/8 x 5/6 = (1 x 5) / (8 x 6)

Multiplying the numerators (1 x 5) gives us 5, and multiplying the denominators (8 x 6) gives us 48.

Therefore, 1/8 x 5/6 simplifies to 5/48.

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in which organelle does cellular respiration take place?a.) nucleus b.) chloroplastc.) chlorophyll d.) mitochondrion Which of the following is a difference socialism between socialism and communism Based on pages 126129 of chains, why does Isabel ask Becky if Madam Lockton had hit her head? PLEASE HELP 100 POINTS!Explain how the complexity and diversity of living things has changed over time. Use evidence from the text, boxes of fossils and rock strata diagram and scientific reasoning to support your response.this is the reading:The Precambrian: In Maryland the rocks found from the Precambrian period are metamorphic and igneous. No fossils have been positively identified from these rocks thus far. The Paleozoic: The Paleozoic era in Maryland was a time of changing sea levels. The sedimentary rocks contain abundant marine fossils, indicating the presence of warm, shallow seas. A period of uplift and mountain building occurs later in the area and was followed by a time of erosion and subsidence (the gradual sinking of land). During times of subsidence, the seas returned and flooded the lands. These cycles of uplift and flooding led to alternating deposition of non-marine and marine sediments. Brachiopods and bryozoans were abundant in the sea, while horsetail rushes and scale trees thrived in the warm, humid, Late Paleozoic climate on land. The Mesozoic: Plate movement pulled apart the supercontinent of Pangea. The area that is now Maryland filled with sediment creating a coastal region where fossils of plants and dinosaur footprints can be found. Late in the Mesozoic (Cretaceous), seas advanced and retreated across the coastal plain numerous times, providing habitats that ranged from land organisms to deep sea organisms. Fossils of plants and dinosaurs are common in the terrestrial deposits, while marine fossils include mollusks and brachiopods. The Cenozoic: During the Early Cenozoic in Maryland, sea level fluctuated, leaving marine deposits in coastal areas. The climate cooled later in the Cenozoic, vast ice sheets advanced and retreated across North America, and sea levels dropped as the glaciers expanded. The cooler temperatures encouraged the growth of new types of plants, while mastodons and other cold-adapted animals roamed the state. During warmer climate periods (interglacial), sea levels again rose to cover the eastern part of the state. Fossils of marine clams, oysters, and snails are abundant in the rocks formed during these interglacial episodes. Solving inequalities -4(x - 7) + 8 _> 2x what is the impact of soil erosion in our living A payment made by a firm to its owners in the form of new shares of stock is called a _____ dividend. he said I have been suffering from fever ( change into indirect) What motif is addressed in both forms of poetry? seasons nature greed love. what is the answer ??z??????? Help please giving brainlyest greatest from least 2lb., 891 g., 1 kg., 0.02 T. What ensured the success of South Carolina?A. the cultivation of rice using African slave laborB. the monetary subsidies offered to it by EnglandC. strong work ethic of its residentsD. fur trade with the West Indies Make x the subject of the formula 1/x - 3/a = 5/b Please take a look at the picture Mega Corporation repurchased 1,000 shares of its $1 par value common stock for $8,000. The effect of this transaction on the accounting equation includes a(n) ______. (Check all that apply.) Multiple select question. decrease in assets increase in assets increase in liabilities decrease in stockholders' equity increase in stockholders' equity decrease in liabilities A jet is flying in a direction N 70 E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to two decimal places. Whats the best college and University to study medicines and medical in your opinion?(in the U.S) please explain why. According to the Empirical Rule, what percentage of a normal population falls between 1 standard deviations left of the mean and 3 standard deviations right of the mean 10) On a football team, there are 14 offensive players and 16 defensive players. If there are35 offensive players on the team, how many defensive players would there be?