y+5=3/2(x-7) write in y=mx+b form

Answers

Answer 1

Answer:

[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Notice how y is isolated in slope-intercept form.

[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]

To change this into slope-intercept form, isolate y.

Use the distributive property on the parentheses:

[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]

Subtract 5 from both sides:

[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

I hope this helps!


Related Questions

A car has been purchased for £5200 and is estimated to have an expected life driving 200,000
miles. At the end of that time its value is estimated to be £200. If the units-of-production
method is used to depreciate the car,
a) What is depreciation cost per mile?
b) What will be book value of the car after it has driven 55000 miles?

Answers

Answer:

a) 0.025£ b)3825£

Step-by-step explanation:

a) 5200-200=5000 - of the value will be lost after reaching the milleage of 200000 miles

200000-5000

1-x

200000=5000/x

x=5000/200000= 5/200=1/40=0.025£- the depreciation cost per mile

b)0.025*55000= 1375- the decreasing of the price

5200-1375=3825£- the book value of the car after it has driven 55000 miles

People drive on average 15,099 miles per year about how many miles each week is that ?

Answers

Answer:

The answer is 2,157

Step-by-step explanation:

15,099÷7=2,157

Romeo bought a mixture of 20-cent, 35-cent,
and 50-cent valentines. The number of 20-cent
valentines was 1 more than twice the number of
35-cent valentines, and the number of 50-cent
valentines was 2 less than the number of
35-cent ones. If he spent $4.20 all together,
how many valentines of each kind did he buy?

Answers

9514 1404 393

Answer:

20-cent: 935-cent: 450-cent: 2

Step-by-step explanation:

Let x, y, z represent the numbers of 20-cent, 35-cent, and 50-cent valentines. Then the given relations can be written as ...

  x = 1 +2y

  z = -2 +y

  0.20x +0.35y +0.50z = 4.20

__

Using the first two equations to substitute for x and y in the third equation, we get ...

  0.20(1 +2y) +0.35y +0.50(-2 +y) = 4.20

  1.25y -0.80 = 4.20 . . . . . simplify

  1.25y = 5.00 . . . . . . . . . . add 0.80

  y = 4 . . . . . . . . . . . . . . . divide by 1.25

  x = 1 +2(4) = 9

  z = -2 +4 = 2

Romeo bought 9 20-cent, 4 35-cent, and 2 50-cent valentines.

The area of the rectangle is 68 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square? Estimate the length and width of the rectangle.

Answers

let "L" represent the length of the rectangle

let "W" represent the width of the rectangle

Area of the rectangle = LW

68= LW --------eqn 1

Area of a square = L/2 ×L/2

34= L^2/4

136=L^2

L= 11.67

From eqn 1 , W=68/L

W=68/11.6619

W=5.83

f(x)=19x+11 find f(4)​

Answers

Answer:

87

Step-by-step explanation:

f(x)=19x+11

Let x = 4

f(4) = 19*4 +11

     =76 +11

     = 87

Answer:

[tex]f(x) = 19x + 11 \\ f(4) = 19 \times 4 + 11 \\ = 76 + 11 \\ = 87 \\ thank \: you[/tex]

Select all that apply please!

Answers

Answer:

x= –4/5 , x= 2

Step-by-step explanation:

5x²-6x-14=-6

5x² –6x –14 +6=0

5x²–6x –8=0

(5x+4)(x-2)=0

x=–4/5

x=2

Hi! I'm happy to help!

To solve this, we simply have to replace x with the given values.

First, we have -14, let's apply that:

(5·(-14²))-(6·(-14))-14=

Now, let's solve (using the order of operations):

(5·(-14²))-(6·(-14))-14=

(5·196)-(6·(-14))-14=

980-(6·(-14))-14=

980-(-84)-14=

980+84-14=

1064-14=

1050=

1050≠-6

Option 1 is incorrect.

Next, let's substitute 14 for x:

(5·14²)-(6·14)-14=

Now, let's solve:

(5·14²)-(6·14)-14=

(5·196)-(6·14)-14=

980-(6·14)-14=

980-84-14=

896-14=

880=

880≠-6

Option 2 is incorrect.

Now, let's substitute -7 for x:

(5·(-7²))-(6·(-7))-14=

Now, let's solve:

(5·(-7²))-(6·(-7))-14=

(5·49)-(6·(-7))-14=

245-(6·(-7))-14=

245-(-42)-14=

245+42-14=

287-14=

273=

273≠-6

Option 3 is incorrect.

Now, let's substitute 7 for x:

(5·7²)-(6·7)-14=

Now, let's solve:

(5·49)-(6·7)-14=

245-(6·7)-14=

245-42-14=

203-14=

189=

189≠-6

Option 4 is incorrect.

Now, let's substitute -2 for x, and solve:

(5·(-2²))-(6·(-2))-14=

(5·4)-(6·(-2))-14=

20-(6·(-2))-14=

20-(-12)-14=

20+12-14=

32-14=

18=

18≠-6

Option 5 is incorrect.

Now, let's substitute 2 for x and solve:

(5·2²)-(6·2)-14=

(5·4)-(6·2)-14=

20-(6·2)-14=

20-12-14=

8-14=

-6=

-6=-6

Option 6 is correct.

Now, let's substitute -1 for x and solve:

(5·(-1²))-(6·(-1))-14=

(5·1)-(6·(-1))-14=

5-(6·(-1))-14=

5-(-6)-14=

5+6-14=

11-14=

-3=

-3≠-6

Option 7 is incorrect.

Now, let's substitute 1 for x and solve:

(5·1²)-(6·1)-14=

5-(6·1)-14=

5-6-14=

-1-14=

-15=

-15≠-6

Option 8 is incorrect.

Now, let's substitute -4/5 for x and solve:

(5·(-4/5²))-(6·(-4/5))-14=

(5·0.64)-(6·(-4/5))-14=

3.2-(6·(-4/5))-14=

3.2-(-4.8)-14=

3.2+4.8-14=

8-14=

-6=

-6=-6

Option 9 is correct.

Now let's substitute 4/5 for x and solve:

(5·4/5²)-(6·4/5)-14=

(5·0.64)-(6·4/5)-14=

3.2-(6·4/5)-14=

3.2-4.8-14=

-1.6-14

-15.6

-15.6≠-6

Option 10 is incorrect.

To summarize, you should pick option 6, and option 9.

I hope this was helpful, keep learning! :D

it cost 25 to rent a car each day a 0.95m per mile

Answers

So what do l need to answer here ( the question is incomplete)

Maggie studied for 2/5 of an
hour. Julie studied for 1/4 of an
hour. How much longer did
Maggie study?

Answers

Answer: 3/20

Concept:

When encountering questions that ask for [how much longer A comparing to B], the basic operation would be the value of A subtracted by the value of B.

Solve:

Given information

Maggie study time = 2/5 hours

Julie study time = 1/4 hours

Given expression deducted from the concept

Maggie (study time) - Julie (study time)

Substitute values into the expression

2/5 - 1/4

Find the denominators' Least Common Multiple (LCM)

First five multiples of 5: 5, 10, 15, 20, 25

First five multiples of 4: 4, 8, 12, 16, 20

Since [20] is the first term that appears in both multiples, it would be the LCM of 4 and 5

Convert the fractions to common denominator

2/5 = (2 × 4) / (5 × 4) = 8 / 20

1/4 = (1 × 5) / (4 × 5) = 5 / 20

Simplify by subtraction

=8/20 - 5/20

=(8 - 5) / 20

=[tex]\boxed{\frac{3}{20} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Last part of my brothers homework

Answers

So to find the average we need to add all three days of fishes together. And divide by the amount of days.

88 + 96 + 32= 216

216/3= 72

The average fish saw was 72.

Any questions? :)

Find (f-g) f (x)=2χ 2-2and g (x)=4x+1

A6x2-x
B 2x2+4x+3
C 2x2-4x-1
D 2x2+4x1

Answers

Answer:

None of the above.

Step-by-step explanation:

Just subtract the functions

Find the difference.
1/2 - 1/8

Answers

Answer:

3/8

Step-by-step explanation:

1/2=⁴/8 and ⁴/8-¹/8=³/8

Find the area of the rectangle.
(3y+1) miles
25 miles


Answers

Answer:

Srectangle: (3y+1)*25=75y+25(cm^2)

Step-by-step explanation:

Srectangle= w*L

Given f(x) = 2x+1 and g(x) = 7/4x + 1 what is the value of f(1)-g(-4)

A) -3 B) 3 C) 9 D) -9

Answers

Answer:

c)9

Step-by-step explanation:

f(x)=2x+1

f(1)=2(1)+1

f(1)=2+1

f(1)=3

g(x)=7/4 x+1

g(-4)=7/4 (-4)+1

g(-4)=-7+1

g(-4)=-6

f(1)-g(-4)=3-(-6)

=3+6

=9

Note:if you need to ask any question please let me know.

3. A ball is dropped initially from a height of 1.2 m. The rebound from the floor is 3/5 of the previous height.
(a) Find the height to which the ball rises at the 2nd bounce.
(b) Find the total distance that the ball has travelled when it hits the floor for the tenth time.
(c) Assuming that the ball continues to bounce in the same way indefinitely, find the total distance that the ball travels.​

Answers

Answer:

Step-by-step explanation:

Let the height above which the ball is released be  H  

This problem can be tackled using geometric progression.

The  nth  term of a Geometric progression is given by the above, where  n  is the term index,  a  is the first term and the sum for such a progression up to the  Nth  term is

What is 33.83 x 99.21

Answers

The answer to this multiplication problem is 3,356.2743

Evaluate x square2 +12,when x=3

Answers

Answer:

21

Step-by-step explanation:

3^2=9

9+12=21

Keep it up

¿How to solve with logarithms?

See image please

Answers

Answer:

Step-by-step explanation:

Apply the natural log to both sides we have

[tex](-(2/3)x -1 ) \ln 2 = (3-2x)\ln 3\\-x(2/3)\ln 2 + 2x\ln 3 = 3\ln 3 -\ln 2\\x\left(\frac{-2}{3}\ln 2 +2\ln 3\right)=\ln (27/2)\\x\left(\ln 9 -\ln \sqrt{8}) =\ln(27/2)\\\\x\ln (9/\sqrt{8})=\ln(27/2)\\\\x= \ln(27/2) / \ln(9/\sqrt{8})[/tex]

Calculate x,y and z fully and give reasons.

Answers

Answer:

X=67°,Z=113°,Y=0°

Step-by-step explanation:

2.1=

X+113°=180°(being straight angle)

Or, X=180°-113°

Or,X=67° answer

Now,

Z=113°(being alternative angle)

Again,Y+Z+X=180°(being co-interior angle)

Or, Y+113°+67°=180°

Or,Y+180°=180°

Or,Y=180°-180°

=Y=0° answer

14 subtracted from three times a number is -53 find the number

Answers

Step-by-step explanation:

let the number

[tex] = x[/tex]

Then:

[tex](3x - 14) = 53 \\ 3x = 53 + 14 \\ 3x = 67 \\ x = 67 \div 3 = 22.33[/tex]

Answer:

[tex]number = x \\ 3x - 14 = - 53 \\ 3x = - 53 + 14 \\ 3x = - 39 \\ x = \frac{ - 39}{3} \\ x = - 13 \\ thank \: you[/tex]

Please help answering the question

Answers

Answer:

I don't know jdjdjdcisveobeobeoxbepxbeoxbwp

Which of the numbers below are not factors
of 108?
1, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 72, 108

NO LINKS PLEASE

Answers

Factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and 108

A building is 1 foot from a 7 foot fence that surrounds the property a worker wants to wash a window in the building 10 foot from the ground he plans to place a ladder over the fence so it rest against a building he decides he should place a ladder 7 feet from the fence for stability to the nearest 10th of a foot how long with the latter need to be

Answers

Answer:

The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.

What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?

Step-by-step explanation:

If two vectors are perpendicular then what is the condition​

Answers

Answer:

If two vectors are perpendicular, then their dot-product is equal to zero. The cross-product of two vectors is defined to be A×B = (a2_b3 - a3_b2, a3_b1 - a1_b3, a1_b2 - a2*b1). The cross product of two non-parallel vectors is a vector that is perpendicular to both of them.

Step-by-step explanation:

In the problem · N = 1, N must be

Answers

Answer:

the value of N should be -1

Simplify and show step by step 30 POINTS!

Answers

Step-by-step explanation:

the explanation is in the diagram above

Think About the Process The length of a rectangle is twice the width. The area of the rectangle is
54 square units. Notice that you can divide the rectangle into two squares with equal area. How
can you estimate the side length of each square? Estimate the length and width of the rectangle.
+
27
B. Estimate
4
C. Estimate 27.
D. Estimate 54
The rectangle is
(Round to the nearest tenth as needed.)
units long and units wide.
0
vo
(10
More
Enter your answer in the edit fields and then click Check Answer.

Answers

Answer:

27

Step-by-step explanation:

write all prime numbers from 20 to 50.​

Answers

Answer:

So, 23, 29, 31, 37, 41, 43 and 47 these are the prime numbers between 20 and 50.

Step-by-step explanation:

plz mark me brainliest

Answer:

So the prime numbers between 20 and 50 are so easy

- 23, 29, 31, 37, 41, 43 and 47

these are the prime numbers between 20 and 50

Step-by-step explanation:

Hope it helps

How do I simplify 2m : 125cm

Answers

Step-by-step explanation:

125cm = 1.25m.

2m : 1.25m = 8:5

125=1.25

2m: 1.25=8.5

what is ninety two thousand one hundred seventy

Answers

Answer:

92170

I hope it's helps you

If X= 9 and Y = 3, what is XY

Answers

Answer:

[tex]x = 9 \\ y = 3 \\ xy = x \times y = 9 \times 3 \\ = 27[/tex]

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