y=-4x +9 Identify the rate of change

Answers

Answer 1

Answer:

the rate of change is -4

Step-by-step explanation:

it's set up as y=mx+b

m is the rate of change

b is the y-intercept

m= -4

b=9

Answer 2

Answer:

f ( x ) = [tex]x^{2}[/tex] , [ 2 , 3 ]

− 4

Step-by-step explanation:


Related Questions

Gavin is working two summer jobs making $14 per hour tutoring and $13 per hour landscaping. Last week Gavin worked a total of 10 hours and earned a total of $137. Determine the number of hours Gavin worked tutoring last week and the number of hours he worked landscaping last week.

Answers

Answer:

3 landscaping, 3 tutoring

Step-by-step explanation:

This is a system of equations.

Let T = number hours tutoring and L = number hours landscaping.

T + L = 10

137 = 14T + 13L

Now solve the system of equations.

We can rearrange the first equation so that T = 10-L. Substitute that in the 2nd equation.

137=14(10-L) + 13L

137 = 140-14L + 13L

-3=-L

3=L

He worked 3 Landscaping Hours. Substitute back into the original equation to solve for T (tutoring hours).

T+L = 10

T+3 = 10

T = 7.

We worked 7 tutoring hours.

Now double check with the earnings equation.

137 = 14T + 13L

137 = 14*7+ 13*3

137 = 98 + 39

137=137

A bag contains 40 marbles. 12 of the marbles are red. What is the percent of red marbles in the bag?

Answers

Answer:

the percentage of red marbles in the bag is 30%.

Step-by-step explanation:

To find the percentage of red marbles in the bag, we need to divide the number of red marbles by the total number of marbles and then multiply by 100:

Percentage of red marbles = (Number of red marbles / Total number of marbles) x 100

Number of red marbles = 12

Total number of marbles = 40

Percentage of red marbles = (12/40) x 100

= 0.3 x 100

= 30%

Therefore, the percentage of red marbles in the bag is 30%.

An object in the shape of a rectangular prism has a length of 9 inches, a width of 5 inches, and a height of 4 inches. The object's density is 11.1 grams per cubic centimeter. Find the mass of the object to the nearest gram.

Answers

Answer:

32.741 kg

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

Mass is the product of the volume and density and the volume of the rectangular prism is the product of its three dimensions.

Find the volume first:

V = 9*5*4 = 180 in³

Convert volume to cm³, taking 2.54 cm per in:

180*(2.54)³ = 2949.67152 cm³

Find the mass:

Mass = 11.1*2949.67152 = 32741.353872 g ≈ 32.741 kg (rounded)

please help fast i don’t feel like typing

Answers

Answer:

he should have subtracted 17 from both sides of the equation

Step-by-step explanation:

x+ 17 = 22

subtract 17 from both sides

X + 17 = 22

-17 -17

x = 5

Troys toy box is 4 ft x 3ft x 5 ft. What is the Volume of his toy box?

Answers

Answer:

60 ft^2

Step-by-step explanation:

To get the total volume we will need to multiply all the lengths. This means we will have to do 4 x 3x 5.

4 x 3 x 5 = 15x 4 = 60

Answer:

60 ft³

Step-by-step explanation:

V = 4 ft × 3 ft × 5 ft

V = 12 ft² × 5 ft

V = 60 ft³

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The figure below shows the distance between two cities on a map. The scale of the map is 1 }8 inch to 12 miles.

Answers

The actual distance between the two cities is 432 miles.

The figure shows a map of two cities, with a distance between them measured at 4.5 inches.

The scale of the map is given as 1/8 inch to 12 miles.

This means that 1/8 inch on the map represents a distance of 12 miles in real life.

To determine the actual distance between the two cities, we can use the scale provided.

1/8 inch on the map represents 12 miles in real life.

A proportion to find the actual distance between the cities:

1/8 inch on map = 12 miles in real life

4.5 inches on map = x miles in real life

To solve for x, we can cross-multiply and simplify:

1/8 × x = 12 × 4.5

x = 12 × 4.5 × 8

x = 432 miles

Maps with scales can be useful for determining distances, sizes, and proportions of objects in real life.

It allows us to visually represent complex spatial relationships and make measurements without physically being present at the location.

Remember to use the correct scale and make sure to convert units properly in order to accurately determine real-life measurements.

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A student has scores of 63, 65, and 73 on his first three tests. He needs an average of at least 70 to earn a grade of C in the class.

What is the minimum score that the student needs on the fourth test to ensure a C?

Answers

Answer: 79

Step-by-step explanation:

63+65+73+×/4=79

multiply by 4 on both sides

201+x=280

subtract 201 from both sides

x= 79

help me please!! I’m not quite sure how to solve this so explanations for this will be appreciated

Answers

The solution is:

the area of this figure is 21.9 ft².

Here, we have,

To find the area of this figure, we must find the area of the 6 x 6 square and subtract the area of a semi-circle with a diameter of 6.

Area square:

6 x 6

36

Area semi-circe:

A = 1/2(πr²)

A = 1/2(6/2)²π

A = 1/2(9π)

A = 14.1

Area shape:

36 - 14.1

21.9

The units are ft², so the answer is 21.9 ft².

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The graph represents a relation where x represents the independent variable and y represents the dependent variable.

A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.

What is the domain of the relation?

{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}

Answers

The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

How to determine domain relation?

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

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6% pay increases 62,900 thanks i look forward to the additional _ per month

Answers

Answer:

Step-by-step explanation:

$314.50

To calculate the additional pay per month, we need to multiply the current salary by the percentage increase and divide by 12 (months).

The pay increase is 6% of $62,900, which is:

0.06 x $62,900 = $3,774

Therefore, the additional pay per month is:

$3,774 / 12 = $314.50

So, Ciara can look forward to an additional $314.50 per month.

Find surface area without mistaking the lateral height.

Answers

The total "surface-area" of cone having "slant-height" as 10, and base-radius as 6, is 301.44 square units.

The total surface area of a cone can be calculated by adding the area of the base to the lateral surface area.

Let us first calculate the lateral surface area of the cone:

Lateral surface area = πrl; where r is radius , and 'l" = slant-height,

The radius of base = 6 units and slant height is = 10 units.

So, we have:

Lateral surface area = π × 6 × 10

Lateral surface area = 60π square units

Next, Area of the base = πr²;

Area of the base = π × 6²,

Area of the base = 36π square units,

Total surface area = Lateral surface area + Area of the base

Total surface area = 60π + 36π

Total surface area = 96×3.14 = 301.44 square units.

Therefore, the total surface area of cone is 301.44 square units.

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A natural food company produces and sells organic almond milk for $9.00 per gallon. This company
estimates its fixed costs to be 1121 dollars per month and the variable cost to produce each gallon of
almond milk is $7.50.
What is the margin of profit if 1494 gallons of almond milk are produced and sold each month?
A Select an answer of $

Answers

Okay, here are the steps to solve this problem:

Fixed costs per month: $1121

Variable cost per gallon: $7.50

Selling price per gallon: $9.00

Monthly sales (gallons): 1494

Cost of goods sold = Variable cost per gallon * Monthly sales

= $7.50 * 1494 gallons

= $11,105

Gross margin = Revenue - Cost of goods sold

= $9 * 1494 gallons

= $13,446

- $11,105 (Cost of goods sold)

= $2,341

Margin of profit = Gross margin - Fixed costs

= $2,341 - $1121

= $1,220

So the margin of profit if 1494 gallons are produced and sold each month is $1,220.

The answer is:

B $1,220

513.4497 rounded to the hundredths place

Answers

Answer:

513.45

Step-by-step explanation:

use intelligence

The answer is 513.45

Tommy and Ruth are cycling to meet each other. Tommy cycles twice as fast as Ruth and they both set off at the same time. At which coordinate will they meet?

Answers

Tommy and Ruth will meet at a coordinate that is 0.5x km away from Ruth's starting point.

In this problem, Tommy and Ruth are cycling towards each other. We are given that Tommy cycles twice as fast as Ruth and they both start cycling at the same time. Our goal is to determine at which coordinate they will meet.

To solve this problem, we need to use the concept of distance, speed, and time. Let's assume that Ruth cycles at a speed of "x" km/hr. Since Tommy cycles twice as fast as Ruth, his speed will be "2x" km/hr.

Let's say that Tommy and Ruth meet at a distance of "d" km from Ruth's starting point. Now, let's calculate the time taken by both Tommy and Ruth to reach this point.

Time taken by Ruth = Distance/Speed = d/x

Time taken by Tommy = Distance/Speed = d/2x

Since they both start cycling at the same time, we can set these two equations equal to each other:

d/x = d/2x

We can then simplify this equation by multiplying both sides by 2x:

2d/x = d

Now we can solve for "d" by multiplying both sides by "x":

2d = dx

d = 0.5x

This means that Tommy and Ruth will meet at a coordinate that is 0.5x km away from Ruth's starting point. To determine the exact coordinates, we need to know where Ruth started cycling from and in which direction they are cycling. If we assume that Ruth started cycling from the origin (0,0) and they are cycling towards each other on a straight path, then they will meet at the coordinate (0.5x, 0).

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If ARSU-AVST, then the triangles are
similar by:

Answers

Answer:

AA sim post

Step-by-step explanation:

They DO have equal (similar) angles.....but they do not have equal sides

The Nut Shack sells cashews for $6.80 per pound and Brazil nuts for $4.70 per pound. How much of
each type should be used to make a 37 pound mixture that sells for $5.78 per pound?
Round answers to the nearest pound.
pounds of cashews
pounds of Brazil nuts
> Next Question

Answers

Answer:

Step-by-step explanation:

$6.80 x 19 pounds = $129.2

$4.70 x 18 pounds = $84.6

            +___________________

             37 pounds = $213.8

$213.8 divided by 37 pounds = 5.77837......

                                                  = $5.78 per pound

Which factor of 24 can help you solve 24 divided by 4?

Answers

Answer:

im an expert

Step-by-step explanation:

X/5-y = m-1 resolver para y

Answers

Okay, let's solve this step-by-step:

X/5-y = m-1

Add y to both sides:

X/5 = m

Multiply both sides by 5:

X = 5m

So in this equation, X = 5m.

To find y, we subtract m-1 from both sides of the original equation:

X/5 = 5m

X/5 - (m-1) = 5m - (m-1)

X/5 - m + 1 = 4m

(X - 5m) / 5 = m - 1

X - 5m = 5(m - 1)

X = 20m - 5

So if we let m = any value, we can calculate y. For example:

If m = 3, then:

X = 20*3 - 5

= 55 - 5 = 50

50/X = 5(m - 1) = 5*2 = 10

y = 10

Does this make sense? Let me know if you have any other questions!

1459 divided by 6 with remainder as fraction

Answers

Answer:

6 1/243

Step-by-step explanation:

6 goes into 1459, 243 times

243*6=1458

1459-1458=1

So there is a remainder of 1

So the answer would be 6 1/243

1459 divided by 6 equals 243.166666667
This as a fraction is also 1459/6.
This with a remainder is 1459 R1

Hope this helps :D

what do you add to get the pattern 1, 8, 15, 22, 29 36, 43​

Answers

every time 7 is added (+7)

Answer:

7

Step-by-step explanation:

Finding the common difference of an arithmetic sequence is easy peasy lemon squeezy. All you have to do is take any term and subtract it from the next one. For instance, if you take 1 and subtract it from 8, you get 7. If you take 8 and subtract it from 15, you get 7 again. You can do this for any pair of terms and you will always get 7. That's the common difference of the sequence 1, 8, 15, 22, 29, 36, 43. It means that you just add 7 to each term to get the next one. Isn't that neat?

Round 73,609 to the nearest thousand

Answers

Answer:

74,000

Step-by-step explanation:

use intelligence

ABCD is a rectangle. If AC is 20 inches, what is DE?
B
Al
E
C
D

Answers

The measurement of DE is 10 inches.

If we know that E is the point where the diagonals of the rectangle intersect, then we know that DE is equal to half the length of the diagonal BD.

Using the Pythagorean theorem, we can relate the length of the diagonal BD to the sides of the rectangle.

Let's assume that the length of the rectangle is L and the width of the rectangle is W. Then, the length of the diagonal BD is given by:

BD = √(L^2 + W^2)

Since we know that the diagonals of a rectangle are equal, we have:

AC = BD

BD = 20

Therefore, DE = 1/2 BD = 1/2 (20) = 10 inches.

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A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 13.2 inches and standard deviation of 2.3 inches. If a sample of 37 items are chosen at random, what is the probability the sample's mean length is greater than 12.1 inches? Round answer to four decimal places.​

Answers

The probability that the sample's mean length is greater than 6.3 inches is0.8446.

Here, we have,

Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event.

It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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Scores on a final exam in a large class were normally distributed with a mean of 75 and a standard deviation of 8. What percent of the students scored above an 83?

Answers

Using z - score, the percentage of students above 83 is 15.9%

What is the percentage of students that scored above 83?

To find the number of students that scored above 83 can be calculated using z - score formula.

This is given as

z = x - μ / σ

μ = meanσ = standard deviationx = score

Substituting the values into the formula;

z = 83 - 75 / 8

z = 1

The z-score is 1

Let's find the percentage of z -score under the score

p(x > 83) = 1 - P(x < 83) = 0.15866

p = 15.9%

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The dosage the pharmacy carries in stock (on hand), is different than the prescribers order. Use ratio and proportion to calculate the total quantity of tablets to dispense for each of the prescriptions below: Order: Zocor 40 mg po qd for 60 days On hand: 20 mg tabs How many 20 mg tabs should be given? Give:

Answers

Using ratios and proportions, the number of 20 mg tabs that should be given in place of 40 mg po qd for 60 days is 120 tabs.

How the number is determined:

Using ratios and proportions, the number of tabs of 20 mg that should be given in place of 40 mg qd for 60 days is determined as follows:

Order: Zocor 40 mg po qd for 60 days

= 60 tabs since it is once per day (qd)

Total mg = 2,400 mg (40 mg x 60 tabs)

On hand: 20 mg tabs

Proportionately, 20 mg = 120 tabs (2 x 60) since 40 mg is for 60 tabs

Total mg = 2,400 mg (20 mg x 120 tabs)

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Mario was given the following enlargement.

A figure with top measurement A and side measurement 6 centimeters. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters.
Figures not drawn to scale.

What is the length of side A, in centimeters?
12
15
24
33

Answers

The length of side A, in centimeters is 12. Option A

How to determine the value

To determine the value, we need to know that;

When two sides of a figure are equal in length, that is in (measure).

For example in a square all sides are equal in length so they're all corresponding measurements.

From the information given, we have that;

Side A corresponds to 24 cm

Length 6 cm corresponds to Length 12 cm

The given parameters can be represented mathematically as;

A/24 = 6/12

cross multiply the values, we have;

12A = 6(24)

Multiply the values

12A = 144

Divide by the coefficient, we have;

A = 12 centimeters

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The correct answer is, A (aka 12)

There are 5,144 blocks to be placed
evenly into 8 storage containers. How
many blocks are in each storage
container?

Answers

Divide the total number of blocks by the total number of storage containers.

5144/8 = 643 blocks in each storage container.

Carlos is a door to door vacuum salesman. His weekly salary, S, is $400 plus $35 for each vacuum he sells.

This can be written as S = 400+35v , where v is the number of vacuums sold.

If Carlos earns $1590 for a week's work, how many vacuums did he sell?

Answers

Answer:

34

Step-by-step explanation:

1. Plug in the week's salary into the formula

S=400+35v

1590=400+35v

2. Solve for v.

1590=400+35v

Subract 400 from both sides. Since the opposite of addition is subraction, soing this cancels out the 400.

1190=35v

Divide each side by 35. Since the opposite of multiplication (35v = 35 times v) is division, this will cancel out the 35.

34=v

Out of 1000 students who appeared in an examination,60% passed the examination.60% of the failing students failed in mathematics and 50% of the failing students failed in English.If the students failed in English and Mathematics only, find the number of students who failed in both subjects.​

Answers

The value of number of students who failed in both mathematics and English is 40.

Since, Given that;

60% of the 1000 students passed the examination,

Hence, we can calculate the number of students who passed the exam as follows:

60/100 x 1000 = 600

So, 600 students passed the examination.

Now, let's find the number of students who failed the examination.

Since 60% of the students passed, the remaining 40% must have failed. Therefore, the number of students who failed the examination is:

40/100 x 1000 = 400

Of the 400 failing students, we know that 60% failed in mathematics.

So, the number of students who failed in mathematics is:

60/100 x 400 = 240

Similarly, we know that 50% of the failing students failed in English.

So, the number of students who failed in English is:

50/100 x 400 = 200

Now, we need to find the number of students who failed in both subjects.

We can use the formula:

Total = A + B - Both

Where A is the number of students who failed in mathematics, B is the number of students who failed in English, and Both is the number of students who failed in both subjects.

Substituting the values we have, we get:

400 = 240 + 200 - Both

Solving for Both, we get:

Both = 240 + 200 - 400

Both = 40

Therefore, the number of students who failed in both mathematics and English is 40.

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How does Mathematics differ from language to language across the world

Answers

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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