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3 years ago

The table below shows four systems of equations:

1 answer:

5 0

<span>System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1

This is the correct answer because not only is it true but it also follows the property of solving systems of equations with adding the equations. To prove that it is true:

2nd equation in system #2 = 1st equation in system #1 + 2(2nd equation in system #1)

</span>10x − 7y = 18 == 4x − 5y = 2 + 2(<span>3x − y = 8)
10x - 7y = 18 == 4x - 5y = 2 + 6x - 2y = 16
10x = 7y = 18 == 10x - 7y = 18</span>

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. Mrs. Nunn pours 3 juice boxes into a bowl to make punch. Each juice box holds 236 milliliters. How much juice does Mrs. Goldst

Novay_Z [31]

Answer:

708 milliliters

Step-by-step explanation:

There are 3 juice boxes and each contain 236 milliliters of juice. So 236 + 236 + 236 = 708

7 0

2 years ago

The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4

GenaCL600 [577]

Answer:A. on edge

Step-by-step explanation:

Just took the quiz.

5 0

2 years ago

Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

zloy xaker [14]

Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.

Part B:

The area of the square is given by

$Area=(x+4)^2=x^2+8x+16$

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

$x^2+8x+16=6x+8 \\ \\ \Rightarrow x^2+8x-6x+16-8=0 \\ \\ \Rightarrow x^2+2x+8=0 \\ \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2} \\ \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2} \\ \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}$

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>

7 0

3 years ago

3x-2y=6<br><br> y=3/2x-3<br><br> Find the slope, x-intercept, and y-intercept for both equations.

lys-0071 [83]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have 3x - 2y = 6 <em>subtract 3x from both sides</em>

-2y = -3x + 6 <em>divide both sides by -2</em>

y = 3/2 x - 3

slope: m = 3/2

y-intercept: b = -3

x-intercept for y = 0. Substitute:

3/2 x - 3 = 0 <em>add 3 to both sides</em>

3/2 x = 3 <em>multiply both sides by 2/3</em>

x = 2

<h3>Answer:</h3><h3>slope = 3/2</h3><h3>y-intercept = -3</h3><h3>x-intercept = 2</h3>

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y = 3/2 x - 3 it's the same function like first function.

8 0

3 years ago

En Colima se lleva acabo la conferencia sobre la energética eólica a la cual asistieron 120 representantes de Latinoamérica y Su

andriy [413]

The first thing we must do for this case is to see how many representatives from each country attended.
We have then:
Argentines = (1/6) * (120) = 20
Chileans = (1/5) * (120) = 24
Bolivians = (1/4) * (120) = 30
Venezuelans = (1/4) * (120) = 30
Adding we have:
20 + 24 + 30 + 30 = 104
Therefore the number of Americans is:
120-104 = 16
Answer:
16 Americans attended the wind energy conference

4 0

3 years ago