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2 years ago

Which graph shows the lowest cost per square foot for a new home?

Mathematics

2 answers:

musickatia [10]2 years ago

8 0

<h2>Answer with explanation:</h2>

The graph that has the lowest cost per square foot for a new home is the graph which has the lowest slope.

Hence, we will calculate the slope in each of the graph.

As each of the graph passes through (0,0) and some point (a,b)

Hence, the slope is:

$\dfrac{b-0}{a-0}=\dfrac{b}{a}$

By looking at the figure attached to the answer we could see that the last graph has the smallest slope.

aliina [53]2 years ago

3 0

We are given following coordinates in given graphs (1000,12000), (1500, 16000), (500 , 8000) , (2000, 18000).

Let us discribe each given coordinate and cost per square foot area for each coordinate (in each graph).

1st (1000,12000) : represnts 1000 square foot area cost $12000.

Cost per square feet = 12000/1000 = $12.

2nd (1500, 16000) : represnts 1500 square foot area cost $16000.

Cost per square feet = 16000/1500 = $10.67.

3rd (500 , 8000) : represnts 500 square foot area cost $8000.

Cost per square feet = 8000/500 = $16.

4th (2000, 18000) : represnts 2000 square foot area cost $18000.

Cost per square feet = 18000/2000 = $6.

Therefore, 4th graph with (2000, 18000) coordinate shows the lowest cost that is $6 per square foot for a new home.

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Which region represents the solution to the given system of inequalities? y<-1/2x

Mademuasel [1]

Step-by-step explanation:

Math

5 0

2 years ago

Read 2 more answers

The growth in the mouse population at a certain county dump can be modeled by the exponential function A(t)= 906e0.012t, where t

tatyana61 [14]

Answer:

$A(t) = 906 e^{0.012t}$

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 months into the function and we got:

$A(36) = 906 e^{0.012*36}= 1395.54$

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

Step-by-step explanation:

We know that the population can be represented with this formula:

$A(t) = 906 e^{0.012t}$

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 monthsinto the function and we got:

$A(36) = 906 e^{0.012*36}= 1395.54$

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

5 0

2 years ago

If ray JG is an angle bisector of ∠FJH, find m∠FJH.

miss Akunina [59]

Answer:

m∠FJH=60°

Step-by-step explanation:

The complete question is

JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)°

What is FJH

we know that

m∠FJH=m∠FJG+m∠GJH -----> equation A

If ray JG is an angle bisector of ∠FJH

then

m∠FJG=m∠GJH -----> equation B

substitute the given values in equation B and solve for x

(2x + 4)°=(3x -9)°

3x-2x=4+9

x=13

Find the measure of angle FJH

m∠FJH=(2x + 4)°+(3x -9)°

substitute the value of x

m∠FJH=(2(13) + 4)°+(3(13) -9)°

m∠FJH=(30)°+(30)°

m∠FJH=60°

3 0

2 years ago

A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover?

Black_prince [1.1K]

1 gal = 400 ft²
2 3/8 gal = ? ft²

to solve, use similar ratios with units gal/ft² and compare

(1)/(400) = (2 3/8)/(x)

*multiply both sides by (x) and divide both sides by (1)/(400), you get:

x = (400)*(2 3/8)/(1) = 400*(2 3/8) = 400*2 + 400*3/8 = 800 + 150 = 950 ft²

<u><em>answer is 950 ft²</em></u>

8 0

2 years ago

The cost in dollars to produce x cups of lemonade is represented by the function C(x) = 10 + 0.20x. The revenue in dollars earne

vlada-n [284]

Revenue > Cost
R(x) > C(x)
0.50x > 10+0.20x
0.50x-0.20x > 10
0.30x > 10
x > 10/0.30
x > 33.333 which is approximate

Round up to the nearest whole number to get x = 34. You need to sell at least 34 cups of lemonade to have the revenue R(x) be larger than the cost C(x)

Answer: 34

8 0

2 years ago