7. Write the equation -3x +2y = 7 in slope-intercept form.

Answers

Answer 1

Answer:

y = 3/2x + 7/2

Step-by-step explanation:

Slope-intercept form is when y is the subject. So we make y the subject:

Add 3x to both sides :

2y = 3x + 7

Now we divide both sides by 2 :

y = 3/2x + 7/2

This is our final answer.

Hope this helped and brainliest please

Answer 2

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to write the equation -3x+2y=7 in slope-intercept form.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

The equation for slope-intercept form is y=mx+b, where m= slope (gradient) of the line, b=y-intercept of the line

So let's write this equation, -3x+2y=7, in slope-intercept form...

///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\////\\\\///\\\////\\\///\\\///\\\////\\\\////\\\\

First, we add -3x to both sides of the equal sign:

[tex]\large\pmb{2y=7+3x}[/tex]

We can switch the order of the terms:

[tex]\large\pmb{2y=3x+7}[/tex]

This is starting to look like the slope-intercept equation. In fact, all we have to do is divide both sides by 2:

[tex]\large\pmb{y=(3x+7)\div2}[/tex]

Which simplifies to...

[tex]\large\pmb{y=\cfrac{3}{2}x+\cfrac{7}{2}}[/tex]

That's the equation in slope-intercept form.

Hope this helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)


Related Questions

One of the legs of a right triangle measures 6 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Well, this is a Pythagorean theorem problem. A^2 + B^2 = C^2, where C^2 is equal to the hypotenuse. 8 squared equals 64, so c^2 = 64 cm. The other leg can be represented by A^2, which is 36 cm. 36 + ? = 64. 64 - 36 = 28, so B^2 equals 28. Now, to find the measurement of the other leg, we need the square root of 28. The square root of 28 is 5.3 cm.

Your final answer is 5.3 cm.

A conditional relative frequency table is generated by column from a set of data. the conditional relative frequencies of the two categorical variables are then compared. if the relative frequencies being compared are 0. 21 and 0. 79, which conclusion is most likely supported by the data? an association cannot be determined between the categorical variables because the relative frequencies are not similar in value. there is likely an association between the categorical variables because the relative frequencies are not similar in value. an association cannot be determined between the categorical variables because the sum of the relative frequencies is 1. 0. there is likely an association between the categorical variables because the sum of the relative frequencies is 1. 0.

Answers

The conclusion is there is likely an association between the categorical variables because the sum of the relative frequencies is 1. 0.

What is the true statement?

Categorical variables are variables that can only take on a fixed number of values. An example of categorical variables is gender. One can either be a male or a female.

The sum of the categorical variables is 1. This indicates that the two variables are negatively correlated. It means that someone would be either pick one of the variables.

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Answer:

c

Step-by-step explanation:

Only answer if you knoww

Answers

The number of 15-year old students that took part in the survey is 300 students and 20 "15-year old" students spent between 35 and 45 minutes on social media.

What is a frequency polygon?

A frequency polygon can be defined as a type of line graph that is used to plot a class frequency against the class midpoint.

For the 15-year old students, the total number of students would be calculated by adding all the data points at each frequency:

Total students = 30 + 30 + 50 + 60 + 40 + 50 + 40

Total students = 300 students.

Part B.

In order to determine the number of 15-year old students than 11-year old that spent between 35 and 45 minutes on social media, we would calculate the average and then read it from the frequency polygon.

Average = (35 + 45)/2

Average = 80/2

Average = 40.

For the 11-year old, we have:

Frequency (40) = 40

For the 15-year old, we have:

Frequency (40) = 60

Now, we can calculate the difference as follows:

Difference = 60 - 20

Difference = 20 students.

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A line segment has more then one midpoint true or false

Answers

Answer:

false

Step-by-step explanation:

any line segment or distance has only one midpoint.

there is only one middle to everything.

how would that look like, if something had 2 middles ?

then they would not be a middle, and the middle between these 2 middles would then be the real middle ...

Answer:false

Step-by-step explanation: If a line segments has endpoints A and B, then the midpoint of that line segment is a point, M Such that M. Becuase A line segment can only IM SAYING ONLY 1 MIDPOINT!

Graph the function f(x) = 2^x - 7 on the set of axes, if g(x) = 1.5x - 3 determine if f(x) > g(x) when x - 4

Answers

The inequality expression f(4) > g(4) is true when x = 4

How to determine if f(x) > g(x)?

The functions are given as:

[tex]f(x) = 2^x - 7[/tex]

g(x) = 1.5x - 3

See attachment for the graph of both functions.

From the graph, we have:

f(4) = 9

g(4) = 3

This means that:

f(4) > g(4) when x = 4

Hence, the inequality f(4) > g(4) is true when x = 4

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How many fourths are in 3
4
?

Answers

So, there are 3 fourths in 3 fourths

Frank has $500 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will Frank earn in 5 years?

Answers

Answer:

$50 interest

Step-by-step explanation:

Simple interest formula

I = Prt

where:

I = interested earnedP = principal amountr = interest rate (in decimal form)t = time (in years)

Given:

P = $500r = 2% = 0.02t = 5 years

Substitute the given values into the formula and solve for I:

⇒ I = 500 · 0.02 · 5

⇒ I = 50

Therefore, Frank will earn $50 interest in 5 years.

(100 POINTS) Use the Internet or another resource to find the definition of the Fundamental Counting Principle. What does this principle state? How can the principle be used to help you identify a sample space for a compound event? What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome? Support your answers with an example.

Answers

Answer:

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation

You translate a line 10 units up. Is the image of the line still a line? O Yes O No

Answers

Answer:

It depends on what way the line is facing, if it starts out vertical(meaning up or down), the answer is yes.

Concentrate is diluted with water in the ratio 3 : 2. How much concentrate is there in 125 mL of total solution?

Answers

125ml (concentrate+water) -> ratio 3:2

125ml/5 = 25ml

25ml *3 = 75ml concentrate

25ml*2 = 50 ml water


Answer: there is 75 ml concentrate in the total solution

Answer:

75 mL.

Step-by-step explanation:

3/(3+2) = 3/5 of the solution is concentrate.

So the answer is 125 * 3/5

= 3*25

= 75 mL.

A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally. what profit does she make on the fifty vases, which were all sold?

Answers

The profit earned by the gift shop owner on fifty vases will be $ 91.07.

What is profit?

The amount of money earned by any seller on the cost price is called the profit. It is given that A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally.

The profit will be calculated as we will create the expressions for all the selling and purchasing given in the question.

The total cost price of vases:-

50 vases = $210

1 Vase = 210 / 50 = 4.25

So 10 vases will be purchased at the price of:-

10 Vase = 4.25 x 10 = 42.5

Now from the question of the amount he paid for 10 vases, he gained it by selling 7 vases.

7 Vase = 42.5

1 Vase = 42.5 / 7 = 6.07

So he sold one vase for $6.07 and purchased it at $4.25.

The profit will be = 6.07 - 4.25 = 1.821

So profit for selling 50 vases will be:-

Profit = 50 x 1.821 = $91.07

Therefore profit earned by the gift shop owner on fifty vases will be $ 91.07.

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In her monthly tests, Mary got 20 more marks in Mathematics than in English. The total of her
marks for both tests were 130. Find her marks in each test

Answers

Answer:

75 on mathematics and 55 on English!

Step-by-step explanation:

Answer:

English test score: 55

Mathematics test score: 75

Step-by-step explanation:

Let [tex]e[/tex] be Mary's score on the English test.

We can say that [tex]e + 20[/tex] is her score on the Mathematics test, as the score for the Mathematics test is just the English test score but 20 higher.

Since both scores add up to 130, we can set up an equation to solve for the English test score. Since we said [tex]e + 20[/tex] is Mary's score on the Mathematics test, [tex]e + e + 20[/tex] is the total of her 2 test scores.

[tex]e + e + 20 = 130\\2e + 20 = 130\\2e = 110\\\boxed{e = 55}[/tex]

This means that Mary got a 55 on her English test score.

To solve for the Mathematics test score we can substitute 55 for [tex]e[/tex] in [tex]e + 20[/tex].

[tex]e + 20 = 55 + 20 \rightarrow \boxed{75}[/tex]

This means Mary got a 75 on her Mathematics test.

Those are the answers

- Kan Academy Advance

As air is moved through a duct by a​ fan, friction between the air molecules and the sides of the duct creates a resistance to movement. Friction loss charts are available to determine the friction loss for a given quantity of air passing through a given size of​ duct, per 100 feet of duct. You know that a section of exhaust duct is 64 meters​ long, but you cannot determine the friction loss unless the duct length is in feet. You know that one meter is equal to 3.28 feet. How long is the​ 64-meter section of duct in​ feet? Round your answer to a whole number.

Answers

The length of the 64 meters section in feet is 210 feet

How to determine the length of the section of duct in​ feet?

The given parameters are:

Length = 64 meters1 meter = 3.28 feet

Multiply both sides of 1 meter = 3.28 feet by 64

64 * 1 meter = 3.28 feet * 64

Evaluate

64 meters = 209.92 feet

Approximate

64 meters = 210 feet

Substitute 64 meters = 210 feet in Length = 64 meters

Length = 210 feet

Hence, the length of the section in feet is 210 feet

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I’m having trouble converting mixed fractions to proper fractions can someone explain?

Answers

Answer:

See below

Step-by-step explanation:

To get the fraction from mixed number you just need to take the number standing alone, multiply with the denominator and add with the numerator and keep it on top with the denominator in place to turn it into a fraction.

For example, [2]3/4 = 2*4 + 3 = 11 => the fraction is 11/4.

Ginger has 52 stamps and 68 regular
stickers. What is the ratio of stamps to
regular stickers? What is the simplified
ratio?

Answers

Answer:

13 stamps : 17 stickers

Step-by-step explanation:

52 stamps : 68 stickers can be simplified down to 13 stamps : 17 stickers because their greatest common factor is 4

△ABC ~ △AMN and AM = 6, MB = 4, AN = 8, then what is the value of AC?

Answers

Answer:

AC = 13.3

Make proportional relationship:

[tex]\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}[/tex]

Insert values

[tex]\rightarrow \sf \dfrac{10}{AC} = \dfrac{6}{8}[/tex]

Cross multiply

[tex]\rightarrow \sf AC = \dfrac{10(8)}{6}[/tex]

Simplify

[tex]\rightarrow \sf AC =13.3[/tex]

Which of the triangles shown are scalene triangles? (2 points)

A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
Triangle A and Triangle B
Triangle C
Triangle B and Triangle D
Triangle D

Answers

Answer:

Triangle D.

Step-by-step explanation:

A scalene triangle has different sides.

Which of the following graphs shows the solution for the inequality
y-4> 2(x+2)?

Answers

Answer:

Answer:

Graph C shows the solution for the inequality

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

y > 2x + 8

Let y = 2x + 8, Then

X-intercept (0, 8)

Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

Put,  (0, 0)

y > 2x + 8

0 > 0+ 8

0 > 8 Which is false

so, the answer will be above the broken line

Hence , Graph C shows inequality

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4.
In the diagram of AABC below, DE || BC,
AD= 3, DB=2, and DE = 6.m
6
E
2
B
What is the length of BC?
1) 12
2) 10
3) 8
4) 4
C

Answers

Length of bc is 8
hope this helps :))


Use the function below to find F(3)
F(x) = (1/6)^x

Answers

Answer: 1/216

Step-by-step explanation: please mark me brainly

Answer:

f(3)=0.005

Step-by-step explanation:

Plug in 3 for x

f(3)=(1/6)^3

f(3)=0.005

Hope this helps!

If not, I am sorry.

find the volume of the rectangle prism

Answers

Answer:176

Step-by-step explanation:

8 x 2 x 11

For what values of t can 10x2+tx+8 be written as the product of two binomials?

Answers

Answer:

7

Step-by-step explanation:

A rectangle has sides of length 8a cm and 7a cm respectively. The perimeter of the rectangle is 42 cm more than the perimeter of a square with side 4a cm. Find the length of the side of the square.

Answers

Answer:

Length of the side of the square is 12 cm.

Step-by-step explanation:

Given information:

[tex]\text{side}_1 = 8a \text{ cm (side of a rectangle)}\\\text{side}_2 = 7a \text{ cm (side of a rectangle)}\\P_\text{rec} = 42 + P_\text{sq} \text{ cm } (P_\text{rec} \text{ is perimeter of the rectangle and } \\P_\text{sq} \text{ is the perimeter of the square)}\\\text{side}_\text{sq} = 4a \text{ cm (side of a square)}[/tex]

Our mission is to find the length of the side of the square. We know that the side of the square is 4a cm, so to be able to answer we have to find the value of a first.

Step 1: Finding the value of a

Key to finding the value of a is the perimeter of the rectangle. Notice that we can calculate the perimeter of the rectangle in two different ways.

One way was given in the question:
[tex]P_\text{rec} = 42 + P_\text{sq}[/tex]

We want equations in terms of a, so we can calculate a. Perimeter of the square can be calculated as:

[tex]\text{perimeter}_\text{square} = 4 \times \text{side}[/tex]

Substituting the values in equation:

[tex]P_\text{sq} = 4 \times 4a\\P_\text{sq} = 16a[/tex]

Therefore the first equation for perimeter of the rectangle becomes:

[tex]P_\text{rec} = 42 + P_\text{sq}\\\fbox{\begin{test}P_\text{rec} = 42 + 16a\end{test}}[/tex]

For the second way we use formula for the perimeter of rectangle which is:
[tex]\text{perimeter}_\text{rectangle} = 2 \times \text{width} + 2 \times \text{length}[/tex]

Substituting the values in equation:
[tex]P_\text{rec} = 2 \times 7a + 2 \times 8a\\P_\text{rec} = 14a + 16a\\\fbox{\begin{test}P_\text{rec} = 30a\end{test}}[/tex]

Now let's equate both perimeters of the rectangle.

[tex]P_\text{rec} = P_\text{rec}\\42+16a = 30a\\42 =14a\\3 = a[/tex]

Step 2: Find the length of the side of the square

It's given that side of the square is 4a cm. All we have to do is substituting a with its value, which we got in the previous step.

[tex]\text{side}_\text{sq} = 4a\\\text{side}_\text{sq} = 4(3)\\\text{side}_\text{sq} = 12 \text{ cm}[/tex]

How would you write the equation with a slope of 2/3 and a y-intercept of -3
y = (3/2)x + 3
y = (2/3)x - 3
y = 2/3 + 3
y = 3/2 - 3

Answers

the answer is B. Y= (2/3)X - 3

Answer:

y = (2/3)x - 3

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" represents the slope and "b" represents the y-intercept. You were given the slope and y-intercept, so finding the final equation is just a matter of substituting the variables.

slope = m = (2/3)

y-intercept = b = -3

y = mx + b

y = (2/3)x + (-3)

y = (2/3)x - 3

Factor 125x9 +64.
O (5x³-4)(25x5+20x³
+ 16)
+ 16)
O (5x³-4)(25x3+20x³
O (5x³+4)(25x5 - 20x³ +16)
O (5x³+4)(25x³ - 20x³ + 16) hurry plsss

Answers

[tex]~~~~125x^9+64\\\\=(5x^3)^3+4^3\\\\=(5x^3 +4)[(5x^3)^2 - (5x^3)(4) + 4^2]\\\\=(5x^3 +4)(25x^6-20x^3+16)[/tex]

Find the volume (to the nearest cubic foot) of a cone with base radius 4 ft. and height 8 ft. a. 43 cu. ft. c. 134 cu. ft. b. 128 cu. ft. d. 402 cu. ft.

Answers

Volume is a three-dimensional scalar quantity. The volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a cone with a base radius of 4 ft. and height of 8 ft. can be written as,

Volume = (π/3)×(Radius)²×Height

             = (π/3)×(4)²×8

             = 134.0412 ft³ ≈ 134 ft³

Hence, the volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.

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Which equations represent inverse variation? Check all that apply.
y=2x
pv = 13
z = ²/x
4=v/x
h=9g/5

Answers

The equations representing inverse variation are:  pv = 13 and z = (2 / x) , option B and C are the answer.

What is an Inverse Variation ?

When on increasing one quantity the other quantity decreases , such variation between the two entities is called Inverse Variation

For this case, what you should know is that the equations that represent an inverse variation are those that could not form a straight line, for example.

The equations are given in the question and it has to be checked if they represent inverse variation

y = 2x

y and x are in a direct variation

pv = 13

p = 13 / v

P and v are represent an inverse variation.

z = (2 / x)

z and x are represent an inverse variation.

4 = v/x

v =4x

v and x are in direct variation

h=9g/5

h and g are in direct variation

therefore , the equations representing inverse variation are:

pv = 13 and z = (2 / x)

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10.3--Angles in a Triangle
Please help

Answers

The measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.

Sum of interior angle of a triangle

The sum of interior angle of a triangle is 180 degrees. Applying the theorem to each question.

3) 40 + x + 75 = 180

115 + x = 180

x = 180 - 115

x = 65 degrees

4) p + 40 + 120 = 180

p + 160 = 180

p = 20degrees

5). The triangle is isosceles showing that the base angles are equal.

100 + q + r = 180

100 + 2q = 180

2q = 80

q =r = 40 degrees

Hence the measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.

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Which of the following is true about a function that is constant?

It is a horizontal line.

It moves in an upward direction.

It moves in a downward direction.

It is a curve.

Answers

A function assigns the values. The correct option that describes a constant function is that It is a horizontal line.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The correct option that describes a constant function is that It is a horizontal line.

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Answer: the answer is A the others are linear or higher

It moves in a horizontal line.  Its 'y value' does not change.

Step-by-step explanation:

The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s present age is s years, which equation models this situation? A. B. C. D.

Answers

Answer:

First,

the age of the son: s

the age of the father is 2 less than 7 times the age of his son: 7s - 2

In 3 years, the sum of their ages will be 52, In 3 years, the age of the sun will

increase 3, so s+3. Also, the age of his

father also increase 3, (7s-2)+3

(s+3)+ [(7s-2)+3] = 52 is the equation.

The correct answer is :

( 7s - 2 ) +3+ ( s + 3 ) = 52 , or 8s + 4 = 52 .

Explanation :

Since s is the son's age , " two less than seven times " the son's age would be represented by 7s - 2 .

To represent this in 3 years , we would add 3 : ( 7s - 2 ) +3 .

In 3 years , the son's age , s , would be represented by s + 3 . We are told that the sum of these ages will be 52 ; this gives us ( 7s - 2 ) +3+ ( s + 3 ) = 52 .

To simplify this , combine like terms .

7s + s = 8s ; -2 + 3 + 3 = 4 .

This gives us 8s + 4 = 52 .

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And since she cleaned many houses each week, we had a great assortment. She would look through them all, searching for stories about remarkable children.The first night she brought out a story about a three-year-old boy who knew the capitals of all the states and even most of the European countries. A teacher was quoted as saying the little boy could also pronounce the names of the foreign cities correctly."What's the capital of Finland? my mother asked me, looking at the magazine story.What evidence supports the conclusion that the narrators mother wants her to excel? Select three options.Every night after dinner, my mother and I would sit at the Formica kitchen table.She would present new tests, taking her examples from stories of amazing children she had read in Ripley's Believe It or Not, or Good Housekeeping, Reader's Digest, and a dozen other magazines she kept in a pile in our bathroom.My mother got these magazines from people whose houses she cleaned. 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