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FrozenT [24]
3 years ago
15

What is the value of x in the solution to the system of equations below?

Mathematics
2 answers:
Paraphin [41]3 years ago
7 0
I’m pretty sure the answer is D. 1/3
Degger [83]3 years ago
3 0
I think the answer is D
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A used car dealership buys a car for $2800 and then sells it for $4500 what is the percent increase?
Murljashka [212]
Alright, so we have the difference = 4500-2800=1700. To find the percent increase, we do 1700/2800=around 0.61 = around 61% percent
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2 years ago
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The Lions won the 16 games last year. This year the Lions won 20 games. What is the percent of increase in the number of games t
Sever21 [200]
Percent of Change:
Difference/Original
(20-16)/16 = 4/16 = 1/4 = 25% increase
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Factorise 3c^2-c<br><br><br> Please help me quick
Dafna11 [192]

Answer:

c(3c - 1)

Step-by-step explanation:

3c² - c

Common factor = c

Factored:

c(3c - 1)

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3 years ago
Which one is longer 60 inches or 9 feet please help me.Thanks!
kolezko [41]
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Given a rectangle with length of (2x+9)cm and width of (3x+1)cm.Two squares, each with sides x cm is removed from the rectangle.
il63 [147K]

Answer: The length is 13cm and the width is 7cm

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = W*L

In this case we have:

L = (2*x + 9) cm

W=(3*x + 1) cm

Then the area of the rectangle is:

A = (2*x + 9)*(3*x + 1) cm^2

A = (6*x^2 + 2*x + 27*x + 9) cm^2

A = (6*x^2 + 29*x + 9) cm^2

now we remove two squares with sides of x cm

The area of each one of these squares is (x cm)*(x cm)  = x^2 cm^2

Then the area of the figure will be:

area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2

area = (4*x^2 + 29*x + 9) cm^2

Now we know that the area of this shape is 83 cm^2, then we need to solve:

83 cm^2 = (4*x^2 + 29*x + 9) cm^2

0 =  (4*x^2 + 29*x + 9) cm^2 - 83 cm^2

0 = (4*x^2 + 29*x - 74) cm^2

Then we need to solve:

0 = 4*x^2 + 29*x - 74

Here we can use Bhaskara's equation, the solutions of this equation are given by:

x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)}  }{2*4} = \frac{-29 \pm 45}{8}

Then the two solutions are:

x = (-29 - 45)/8 = -9.25  (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).

The other solution is:

x = (-29 + 45)/8 = 2

x = 2

Then the length and width of the rectangle are:

Length = (2*2 + 9)cm = 13 cm

Width = (3*2 + 1)cm = 7cm

4 0
2 years ago
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