Mathematics College

Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.

Answers

Answer 1

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Related Questions

Work out
2/3 - 2/5
Give your answer in its simplest form.

Answers

Answer:

4/15

Step-by-step explanation:

find common denominators, which is 15

multiply 2/3 by 5 and and 2/5 by 3

2 x 5 = 10 and

3 x 5 = 15

10/15

2 x 3 = 6 and

5 x 3 = 15

6/15

subtract numerators

10 - 6

= 4/15

Rahul and his children went into a restaurant that sells hamburgers for $8 each and tacos for $4 each. Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Rahul and his children went into a restaurant that sells hamburgers for $8 each and

tacos for $4 each.

Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether.

Let x represents the number of hamburgers purchased and y represents the number of tacos purchased,

x+y≥11...(1)

8x+4y=80..(2)

8(11-y)+4y=80

88-8y+4y=80

88-4y=80

8=4y

y≥2

Hence, x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

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Help me I do t know how to do this

Answers

Answer

1. Three graphs were created and the solution is identified on the graphs.

Solutions are
System A is upper right (1, 2)
System B is lower left ( 5, -6)
System C is lower right ( 1/2, 3)

2. Find the sum or difference. When you solve this way, you want either the x or the y values to cancel out so you can solve for one variable.

System A is already set up this way. See how the 4x and -4x cancel out?

4x + 3y = 10
-4x +5y = 6
__________
8y = 16
Divide both sides by 8 to solve
8/8 y = 16/8
y = 2

Sub y = 2 into either equation to solve x

4x + 3y = 10
4x + (3)(2) = 10
4x + 6 = 10
Subtract 6 from both sides to isolate variable
4x + 6 -6 = 10 - 6
Simplify
4x = 4
Divide both sides by 4 to solve
4/4 x = 4/4
x = 1
Solution pair is (1, 2)

System B has the y values ready to cancel out

2x + y = 4
x - y = 11
__________
3x .= 15
Divide both sides by 3 to solve for x
3/3 x = 15/3
x = 5

Sub x = 5 into either equation to solve for y

5 - y = 11
Subtract 5 from both sides
5-5 -y = 11 - 5
-y = 6
y = -6

Solution pair is ( 5, -6 )

System C - we need to multiply the second equation by -1 to create the cancel of x

8x + 11y = 37

8x + y = 7
-1. -1. -1
___________
-8x -y = -7

Now we can cancel the x’s and solve

8x + 11y = 37
-8x -y = -7
___________
10y = 30
Divide both sides by 10
10/10 y = 30/10
Simplify
y = 3

Now sub y = 3 into either equation to solve x

8x + (11)(3)= 37
8x + 33 = 37
Subtract 33 from both sides
8x + 33 - 33 = 37 - 33
8x = 4
Divide both sides by 8 to solve for x

8/8 x = 4/8
x = 4/8
Simplify
x = 1/2

Solution pair is ( 1/2, 3)

3. The graphs show the x horizontal line and y vertical line from the coordinate solution intersect with the lines of the two equations.

This was a lot of work. I hope it made sense.

Could you please help me

Answers

$10.70 for unit a and $9.30 for unit b

make x the subject of the formula in R = ax-p/q+bx

Answers

R = (ax - p)/(q + bx)

(ax - p) = R(q + bx)

ax - p = Rq + Rbx

ax - Rbx = Rq + p

x(a - Rb) = Rq + p

x = (Rq + p)/(a - Rb)

d= c/n solve for n, I've been trying to solve this by multiplying by n but i want to solve for n so that's wrong thank you guys :D

Answers

Answer:

You started correctly....

Step-by-step explanation:

d = c/n Multiply both sides by 'n'

dn = c now divide both sides of the equation by 'd'

n = c/d Done.

Melinda, Zachary, and heather went to the mall to shop for school supplies

Answers

Heather spend $33.1 on school supplies.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Melinda, Zachary, and heather went to the mall to shop for school supplies

Melinda spent $14.25 on her supplies.

Melinda=$14.25

Zachary spent $2.30 more than Melinda spent

Zachary=$14.25+$2.3

=$16.55

Heather spent 2 times as much money as Zachary spent

Heather=2×$16.55

=$33.1

Hence, Heather spend $33.1 on school supplies.

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Huilan is 7 years older than Thomas. The sum of their ages is 79. What is Thomas’s age?

Answers

Answer:

To solve this problem, we can set up the following equation:

Huilan's age + Thomas's age = 79

Let H be Huilan's age and T be Thomas's age. We can then rewrite the equation as:

H + T = 79

We are told that Huilan is 7 years older than Thomas, so we can write the following equation:

H = T + 7

Substituting the second equation into the first equation, we get:

(T + 7) + T = 79

Combining like terms, we get:

2T + 7 = 79

Subtracting 7 from both sides, we get:

2T = 72

Dividing both sides by 2, we get:

T = 36

Therefore, Thomas's age is 36 years.

Step-by-step explanation:

Answer:

let Thomas age be a

there fore, hullans age is a+7

(a+7)+a=79

2a=79-7

2a=72

a=36

Ms.Metz had her students estimate the length and width of a math book. Dana's estimate was 40cm by 20cm. The book measured 24cm by 16cm. How far off was her estimate?

Answers

Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.

What is percent error?

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Percent Error Formula

The formula for percent error is:

PE = (|Estimated value-Actual value|/ Actual value) × 100

Given,

Actual length of the book = 24 cm

Actual width of the book = 16 cm

Dana's estimated length of the book = 40 cm

Dana's estimated width of the book = 20 cm

Error in measurement of length of the book =

(Measured Length - Actual Length/Actual length) × 100

= (40 - 24/24) ×100 = 66.67%

Error in measurement of width of the book =

(Measured width - Actual width/Actual width) × 100

= (20 - 16 / 16) × 100 = 25%

Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.

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Describe the error in each problem below. 36÷3+(3²•2)36÷3+9•2 36÷12•2 3•2 6

Answers

Answer:

Step-by-step explanation:

In the last part of the problem, you have to follow PEMDAS.

Instead of you added before dividing. After the step of 36÷3+9x2 you have to divide.

Please help
Which poly nominal has the zeros 1,-2i and 3

Answers

The polynomial has the zeros 1,-2i and 3 is = x³ - 5x² + 11x -15.

What does a polynomial in mathematics mean?

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).

How can you recognize a polynomial?

A polynomial function is a function that only uses non-negative numeric powers or only positive integer exponents of something like a variable in an equation, such as the quadratic equation, cubic equation, etc. As an illustration, the polynomial 2x+5 has an exponent of 1.

According to the given information:

given zeros are 1-2i and 3 .

The polynomial function p(x) is

[x - (1+2i)] × [x - (1 - 2i)] × (x - 3)

[(x - 1) - 2i] × [(x - 1) + 2i] × (x - 3)

[(x - 1)² - (2i)² × (x - 3)]

∴ (x² - 2x + 1 + 4)(x - 3)

∴ (x² - 2x + 5)(x - 3)

The polynomial has the zeros 1,-2i and 3 is = x³ - 5x² + 11x -15.

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Solve for 0. Round to the nearest tenth of a degree. Sin 0=0.85

Answers

The value of the angle theta is 58 degrees

How to determine the value of the angle theta

From the question, we have the following parameters that can be used in our computation:

Sin 0=0.85

Express the angle in the equation properly

So, we have the following representation

sin(Ф) = 0.85

Take the arc sin of both sides of the equation

So, we have the following representation

sin⁻¹(sin(Ф)) = sin⁻¹(0.85)

Evaluate the arc sin of one side of the equation

So, we have the following representation

Ф = sin⁻¹(0.85)

Evaluate the arc sin of the other side of the equation

So, we have the following representation

Ф = 58.2116693829

Approximate the equation

Ф = 58 degrees

Hence, the solution is 58 degrees

Answers

To solve this we must be knowing each and every concept related to triangle. Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

What is triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The denotes a triangle having vertex A, B, and C. In Euclidean geometry, every three non-collinear points define a unique triangle and, by extension, a unique plane.

In geometry, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

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A grocer wishes to make 50 kilos of tea by mixing two grades of tea worth rs.16 and rs.18 per kilo respectively .if he wishes to sell the mixed tea at rs.16.80 per kilo ,how many kilos of each grade of tea should he mix?

Answers

Answer:

11.1 and 38.9

Step-by-step explanation:

16x + 18 (1-x) = 16.89

2x = 1.11

x = 0.222

0.222 x 50 = 11.1

50-11.1 = 38.9

Bob's Gift Shop sold 550 cards for Mother's Day. One salesman, Anand, sold 4% of the cards sold for Mother's Day. How many cards did Anand sell?

Answers

22 cards were sold by the Anand.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Bob's Gift Shop sold 550 cards for Mother's Day.

One salesman, Anand, sold 4% of the cards sold for Mother's Day.

We need to find the number of cards sold by Anand

Convert 4% to decimal by dividing 4 by 100

4/100=0.04

Now multiply 0.04 with 550

0.04×550

Hence, 22 cards were sold by the Anand.

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Find the total surface area of the net below

Answers

Therefore ,answering the offered question, we can state that the figure's surface area is SA = 2(9 11+11 9+11 * 11), which equals SA = 638 in2.

What precisely is surface area?

Surface area is a measure of how much space an object's surface takes up overall. The total area of a three-dimensional shape's surroundings is its surface area. Surface area refers to the total surface area of a three-dimensional shape. You may compute the contact area of a cube with six square faces by adding together their individual areas. Alternatively, you can use the following formula to name the box's dimensions: Surfaces (SA) = 21 h + 2 lw + 2 hw. A tri shape's surface area is calculated as the total amount of space it occupies.

Here,

Front = rear = 11*11

top = bottom = 9*11

sides = 11*9;

SA= 2(911+119+1111)

SA=2(9999 +121)

SA = 2(319) (319)

SA = 638 in²

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Multiply: (–4 + i)(2 – 3i)
a. –5 – 10i

b. –8 + 11i

c. –5 + 14i

d. –11 + 14i

Answers

The result of the product of the given complex numbers as required to be determined is; Choice C; -5 + 14i.

What is the product of the given complex numbers?

It follows from the task content that the result of the product of the given complex numbers is to be determined.

On this note, since the required product to be evaluated is; (–4 + i) (2 – 3i).

We can therefore multiply as follows;

-8 + 12i + 2i - 3i².

However, it is noteworthy to know that; i² = -1.

Hence, we have that;

-8 + 14i + 3

= -5 + 14i

On this note, it follows that the result of the product of complex numbers as required is; -5 + 14i.

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please help me this would make my day ^^

Ray YW bisects ∠XYZ such that m∠XYW = (3x−7)° and m∠WYZ=(2x+1)°.
Find the value of x.

Answers

3x-7=2x+1
-2x -2x
x-7=1
+7 +7
x=8

Which graph represents a function?

Answers

Answer:

The fourth graph since it passes the vertical line test.

Each input has one output.

Hope this helps :)

Yesss the fourth graph is the correncg answer yess your welcome I think that’s the correct answer

Gemma has 3 rose bushes, each with the same number or roses. She picks 4 of the roses. There are 20 roses left on the rose bushes. How many roses were on each rose bush?

Answers

There were 8 roses on each bushes

How to calculate the number of roses on each bush?

Gemma has 3 rose bushes

Each bush has the same number of roses

She picks 4 of the roses

After picking the roses, there are 20 left in the bushes

Therefore the number of rose on each bush can be calculated as follows

20 + 4

= 24

24/3

= 8

Hence there are 8 roses in each bush

Answers

Answer:

it's equal to = 242 =484. I think so that's the right answer please

Which equation represents a linear function that has a slope of 4/5 and a y-intercept of -6?
○ y=-6x+4/5
O y=4/5x-6
O y=4/5x+6
Oy=6x+ 4/5

Answers

Answer: y= -6x+4/5

Step-by-step explanation: We will compare these equations with standard form y=mx+c where m is the slope of the line and c is the y-intercept.

for line y= -6x+4/5

on comparing with y= mx+c

we have m= -6 and c= 4/5.

So, the first option is correct.

simplify the expression 14+5(x+3) - 7x

Answers

Answer:

- 2x +29

Step-by-step explanation:

Open up the parenthesis, then simplify

14 + 5x + 15 - 7x

5x - 7x + 14 + 15

-2x + 29

[tex]14+5(x+3) - 7x[/tex]

Distribute:

[tex]14+(5)(x)+(5)(3)-7x[/tex]

[tex]14+5x+15-7x[/tex]

Combine Like Terms:

[tex](5x-7x)+(14+15)[/tex]

[tex]\fbox{-2x + 29}[/tex]

Xavier buys 4 snacks and 2 cans of
soda. Each snack costs $1.25, and each
can of soda costs S dollars. Xavier's
total for the snacks and soda was $8.
How much did each can of soda cost

Answers

Total cost is the sum of all expenses incurred to produce a particular type of product. The answer is $1.50.

What is the definition of total cost?

Total cost is the sum of all expenses incurred to produce a specific kind of output. Financial reporting, when overhead costs must be allocated to specific assets, is where the total cost approach is more useful from an accounting standpoint.

$8 was spent in total.

Xavier bought four $1.25 snacks.

4 x 1.25 = $5

The 2 cans cost $3 because 5 + 3 = 8, and we know how much the snacks cost ($5), making the total cost ($8).

Each can cost $1.50 because, if the price of the two cans was $3, we would have to divide it by two to get the price of the second can, which comes out to be $1.50. As a result, each can was $1.50.

Therefore, the answer is $1.50.

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x divided by 6 is what

Answers

Answer:x/6

Step-by-step explanation:

Here the value of x is not given and hence the answer to the question is

x/6

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Which integer in the set has the greatest value (4, -4, -3, 3)?
A. 4
B. 3
C. -3
D. -4

Answers

Answer:

A. 4

Step-by-step explanation:

4 is a positive number which is larger to 3 and bigger than negative numbers.

Answer:

Step-by-step explanation:

i \

i /

1. Explain how place-value blocks can
help you with division.

Answers

Using place value along with division facts in a division equation, helps in dividing larger numbers easily. Place value counters and tape diagrams are often used to represent division using place value.

What is division?

With the arithmetic operation of division, we can divide a collection of items into equal pieces. Typically, it is represented by the symbol "÷".

The bigger amount that is divided into equal halves is called the dividend.

The number of groups that divide the payout is known as the divisor. Following division, the result is the quotient.

The value of a digit in a number is determined by its place in the number, or place value.

Divide larger numbers simply by applying place value and division facts in a division equation. Place value division is frequently shown using tape diagrams and place value counters.

Example - 4 ÷ 2 = 2

In the first equation, the digits are 4 and 2. We can write it as 4 ones ÷ 2 ones = 2 ones (using the division fact).

Example - 40 ÷ 20 = 2

For the second equation, the digits are the same, but a zero has been added after 4, and the quotient thus has one zero at the end. So, we can write it as 4 tens ÷ 2 ones = 2 tens (using place value and the division fact).

Example - 400 ÷ 200 = 2

Similarly, for the third division equation, the same digits are present, but the number of zeros has increased. We are dividing 4 hundreds ÷ 2 ones = 2 hundreds (using place value and the division fact).

Therefore, place value blocks help in division for making it simpler.

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Which expression is equivalent to 5-3(x+2)?
A. -3x - 1
B. -3x+10
C. 2x + 4
D. 2x-6

Answers

The answer is A. -3x - 1
5-3(x+2)
5-3x-6
-3x+5-6
-3x-1

Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?

Answers

The resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

What are vectors?

A vector is an object that has both a magnitude and a direction.

Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.

For the subtraction of vectors, we can write its magnitude as -

|r - s| = √(r² + s² - 2rscos{15})

Therefore, the resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

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A tank is 80c ,nu 60cm by 75cm, find the volume of water that will fill up

Answers

A tank that is 80 cm tall and has a base that is 60 cm by 75 cm.

To find the volume of the tank, you can use the formula for the volume of a rectangular prism, which is:

Volume = length * width * height

Using the dimensions given, we can plug them into the formula as follows:

Volume = 60 cm * 75 cm * 80 cm = 4,500 cm^3

This means that the tank has a volume of 4,500 cubic centimeters, and it would take 4,500 cubic centimeters of water to fill it up

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Answer:

Step-by-step explanation:

To find the volume of water that will fill up a tank that is 80 cm tall, 60 cm wide, and 75 cm deep, you can use the formula for the volume of a rectangular prism. The formula for the volume of a rectangular prism is length x width x height, so in this case, the formula would be:

60 cm x 75 cm x 80 cm = 36,000 cm^3

So the volume of water that will fill up the tank is 36,000 cubic centimeters.

Alternatively this also can be written as 806075 cubic cms

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