The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. WRITE AND SOLVE A LINER EQUATION to find the monthly rent for a 1500 square foot office.

I need help and pls do it in The liner equation way which is also given two points.

Answers

Answer 1

Answer:

$1325

Step-by-step explanation:

Translate the given into two pairs of coordinates:

(800, 975) and (1100, 1125)

Work out the equation of the line passing through both of the points.

Find the slope:

m = (1125 - 975) / (1100 - 800) = 0.5

Find the y-intercept:

975 = 0.5*800 + b975 = 400 + bb = 975 - 400b = 575

The line is:

y = 0.5x + 575

Find the value of y when x = 1500:

y = 0.5*1500 + 575 = 1325

Related Questions

One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.

Answers

Answer:

-1

Step-by-step explanation:

Set y=0.

[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]

The x-intercepts are - 0.4 and - 1.

The other x-intercept is - 1.

Answer: 1,0

Step-by-step explanation:

Solve for x. SHOW ALL WORK

5(3x+4)−2x=7x−3(−2x+11

Answers

Answer:

x = -47/6

Step-by-step explanation:

Simplify both sides of the equation : 13x + 20 = 7x - 27

Subtract 7x from both sides : 6x + 20 = -27

Subtract 20 from both sides : 6x = -47

Divide both sides by 6 : 6x/6 = -47/6

Answer : x = -47/6

Please Help! Angle 3 is equal to angle __.

Answers

Answer:

Angle 5

Step-by-step explanation:

It is angle 5 because they are mirrored.

Round off the decimal 55.345 to 2 decimal places.​

Answers

Answer:

Step-by-step explanation:

55.345 is rounded off two places therefore, the hundreths place

the number next to 4 is 5 in the thousandths place. 5 is high and therefore 4 is changed to 5 and makes it 53.35

phone company offers to monthly plans. Plan a cost $11 plus an additional $.19 for each minute of calls. Plan B cost $16 plus an additional $.15 for each minute of calls

Answers

Answer:

whats the question I can't help without a question

help me please 5 points​

Answers

Answer:

-12

Step-by-step explanation:

Please help me with this math problem I am going to fail if I don’t get this right

Answers

Answer:

[tex]7+3^{2} - 2[/tex] × [tex]5 < (\frac{3}{4} + \frac{1}{8} )[/tex] ÷ [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

so <

hope this helps!


5b + 6 - 6b + 2 = 19

Answers

Answer:

i got b= -11

Step-by-step explanation:

Answer:

b=-11

Step-by-step explanation:

5b + 6 - 6b + 2 = 19

5b-6b+6+2=19

-b+8=19

b=8-19

b=-11

5(-11) + 6 - 6(-11) + 2 = 19

-55 + 6 + 66 + 2 = 19

-55+74=19

19=19

plz help meeeeeeeeeeeeeeeeeee

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Describe the transformation of g(x)=4|x|

Answers

[tex]g(x) = 4 |x| = x = 0[/tex]

i have most important question what is 2+2 ?

Answers

Answer:

4

Step-by-step explanation:

Answer:

When I look at -2^2 I see two operations, a negation and a power (square). The convention in mathematical expressions is that powers are performed before negations (also before additions, multiplications and divisions) so to evaluate -2^2 you first square the 2 to get 4 and then apply the negation to arrive at -4.

With (-2)^2 the parentheses tell you to consider -2 as a single quantity and square it so (-2)^2 = (-2) × (-2) = 4.

I hope it's help

Find a formula for the inverse of the following function, if possible.

[tex]P(x) = 3\sqrt[3]{x} - 1[/tex]

[tex]P^{-1}(x) = \\\\[/tex]

or does not have an inverse function

Answers

to find the inverse of any expression, we start off by doing a quick variables switcheroo and then solve for "y", so let's do so

[tex]\stackrel{P(x)}{y}~~=~~3\sqrt[3]{x}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ =~~3\sqrt[3]{y}-1}\implies x+1 = 3\sqrt[3]{y}\\\\\\\cfrac{x + 1}{3}=\sqrt[3]{y}\implies \left( \cfrac{x + 1}{3} \right)^3 =y\implies \cfrac{(x+1)^3}{3^3}=y\implies \cfrac{(x+1)^3}{27}=\stackrel{\stackrel{y}{\downarrow }}{P^{-1}(x)}[/tex]

Write the linear equation that gives the rule for this table.
x f(x)
1 –47
2 –45
3 –43
4 –41

Answers

Answer:

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Using the table let get 2 points

(2, 27)(3, 28)

let find the slope

m = 28 - 27 / 3 -2 = 1

let's find b using (2, 27)

27 = 2 + b

b = 25

Therefore,

y = x + 25

f(x) = x + 25

Step-by-step explanation:

What is the equation of this line in slope-intercept form? (-1,5) (1,-1)




y = 3x - 2

y = -1/3x + 2

y = -3x + 2

y = 3x + 2

Answers

The answer is Y=3x+2

Please help me I need to turn this in very soon

Answers

Answer:

1331/3375

Step-by-step explanation:

(11/15) ^3 = (11*11*11)/(15*15*15) =1331/3375

                   

1. BC=DA
how do i find the reason

Answers

Answer:

sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.

Clip 102
2
2
Standard Questions
Question Progress
Two families go to a zoo.
The Smith family of two adults and three children pay £66.
The Jones family of three adults and five children pay £105.
Work out the cost of an adult ticket and the cost of a child ticket.
In your working, let 'a'stand for an adult ticket and 'C'stand for a child ticket.

Answers

Answer:

Let's solve your system by elimination.

2a + 3c =66 ; 3a + 5c = 105

Multiply the first equation by 5,and multiply the second equation by -3.

5 (2a + 3c = 66)

−3 (3a + 5c = 105)

Becomes:

10a + 15c = 330

−9a − 15c = −315

Add these equations to eliminate c:

a = 15

Now that we've found a let's plug it back in to solve for c.

Write down an original equation:

2a + 3c = 66

Substitute 15 for a in 2a + 3c = 66:

(2)(15) + 3c = 66

3c + 30 = 66 (Simplify both sides of the equation)

3c + 30 −30 = 66 −30 (Add -30 to both sides)

3c = 36

3c3= 363 (Divide both sides by 3)

c = 12

Answer:

a = 15 and c = 12

how to find the circumference with a diameter?​

Answers

Answer:

Multiply the diameter by pie which 3.14

Step-by-step explanation:

Would appreciate the help

Answers

Answer:

The probability of obtaining exactly 3 tails is on the tosses is 1/8.

Step-by-step explanation:

P(all tails)= P(nickel tails)P(dime tails)P(quarter tails)

P(all tails)= (1/2)(1/2)(1/2)

P(all tails)= 1/8

What value is equivalent to 5 + [5 (4 + 2)]?
35
45
60
0110
Help pls thx

Answers

45 is equivalent to 5+[5(4+2)]

Answer:

45 5+[5(4+2)]?

Step-by-step explanation:

i hope is helped:)

What are the zeros of the following function?

Answers

Answer:

Hence , (a,0) is a zeros of a function

PLS HELP WILL MARK BRAINLIEST

Answers

No, the answer would be no because that’s the correct option

Multiply or divide. write fractions in simplest form.

-2/7 divided by (-8/21)

please help with this problem i will mark you brainliest :)

Answers

Answer:

3/4

Step-by-step explanation:

(-2/7) / (-8/21)

When dividing by a fraction flip it over and multiply

(-2/7) * (-21/8)

Cancel 2 and 8

(-1/7) * (-21/4)

Cancel 7 and 21

(-1/1) * (-3/4)

multiply

3/4

-36.12 divided by -5 3/5

Answers

[tex] - 36.12 \div - 5 \frac{3}{5} \\ - 36.12 \div - \frac{28}{5} \\ = 6.45[/tex]

- BRAINLIEST answerer

Covert fractions to percents
3/8=__

Answers

Answer: [tex]\frac{3}{8}[/tex] = 37.5%

Step-by-step explanation:

Convert the fraction into a percentage.

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

Solve for x:

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

3 × 100 = 300300 ÷ 8 = 37.5

x = [tex]\frac{37.5}{100}[/tex] = 37.5%

Answer:

Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%.

Step-by-step explanation:

find the slope from the pair of points (0,-5) (2,5)

Answers

Step-by-step explanation:

given points,

(0,-5) and (2,5)

we know,

slope = y2 - y1 / x2 - x1

→ 5 - (-5) / 2 - 0

→ 5+5/2 = 10/2

→ 5

therefore, slope of the line is 5.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE


I NEED HELP W THIS ASAP!!!!!

Answers

Answer:

[tex]18[/tex]

Step-by-step explanation:

[tex] \frac{28}{14} = 2 \\ \frac{36}{x} = 2 \\ x = \frac{36}{2} \\ = 18[/tex]

Miles is 33 year old and single in 2020 his only income consisted of $10500 in wages what is the maximum amount he can contribute to a traditional ira for 2020

Answers

Answer:

$6,000

Step-by-step explanation:

$6,000 Because miles younger than 50

-5/8 - (-4/3)
Pls help

Answers

Answer:

Step 1 of 2: Subtract.  

Subtract

(

negative 5 over 8  

−  

5

8

) − (

negative 4 over 3  

−  

4

3

) =  

17 over 24  

17

24

Step 1 of 2: Subtract, sub-step a: Subtract a negative.  

Subtract a negative

negative 5 over 8  

−  

5

8

− (

negative 4 over 3  

−  

4

3

) =  

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

Subtracting a negative is the same as adding a positive.

Step 1 of 2: Subtract, sub-step b: Find common denominator.  

Find common denominator

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

= −

( 5 × 3 ) over ( 8 × 3 )  

5 × 3  

8 × 3  

+  

( 4 × 8 ) over ( 3 × 8 )  

4 × 8  

3 × 8  

=  

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Add.  

Add

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

=  

(  

negative 15  

−15 + 32 ) over 24  

negative 15  

−15 + 32  

24

=  

17 over 24  

17

24

Answer:

The answer would be 17/24

Step-by-step explanation:

1. Common denominator is going to be 24. 3(-5/8) - 8(-4/3)

2. Next multiply. -15/24 + 32/24

3. After addition you get 17/24 or 0.7

The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:

Let the cost of 1 pencil be £x, and the cost of 1 eraser be £y. Write two linear equations in x and y:

Answers

Answer:

see explanation

Step-by-step explanation:

The 2 equations are

x + 2y = 8 → (1)

2x + 4y = 20 → (2)

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