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3 years ago

What is the x-value in the solution to the system? 8x+3y=7 4x+3y=2

Mathematics

1 answer:

malfutka [58]3 years ago

4 0

Using subtraction of the y values you get 4x=5, x=5/4

Further substitution proves this to be true:)

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The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectang

Evgesh-ka [11]

Answer:

The length in centimeters is (24-x) centimeters

Step-by-step explanation:

Mathematically, we are told that the equation linking the length, width and perimeter is as follows;

2(length) + 2(width) = 48

But in this case, we are told that the width is x centimeters

2(length) + 2(x) = 48

2(length) = 48-2x

length = (48-2x)/2

length = 24 - x

4 0

3 years ago

Write an ordered pair for the point

aleksandr82 [10.1K]

Answer:

(0, 1)

Step-by-step explanation:

The point lies on the line x = 0.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(0, 1)

5 0

3 years ago

Read 2 more answers

Solve the equation using the zero-product property. (2x − 8)(7x + 5) = 0 x = –2 or x = 7 x = 4 or x = x = 4 or x = x = –4 or x =

aliya0001 [1]

$(2x-8)(7x+5)=0\iff2x-8=0\ \vee\ 7x+5=0\\\\2x-8=0\qquad\text{add 8 to both sides}\\2x=8\qquad\text{divide both sides by 2}\\\boxed{x=4}\\\\7x+5=0\qquad\text{subtract 5 from both sides}\\7x=-5\qquad\text{divide both sides by 7}\\\boxed{x=-\dfrac{5}{7}}$

5 0

3 years ago

An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar

erica [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

6 0

3 years ago

Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*

aleksley [76]

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

<h3>How to determine the exponential model?</h3>

From the complete question,we have the following parameters:

Initial value, a = 3
Growth rate, r = 0.2

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

Read more about exponential models at:

brainly.com/question/7296382

3 0

2 years ago