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2 years ago

Simplify6+4(2x-2)-(4x-6)

Mathematics

1 answer:

lesantik [10]2 years ago

5 0

Answer:

4x + 4

Step-by-step explanation:

6+4(2x-2)-4x-6)

expand 4(2x-2) : 8x-8

=6+8x-8-(4x-6)

-(4x-6): -4x+6

simplify 6+8x-8-4x+6: 4x+4

= 4x + 4

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How many solutions does the system have? \begin{cases} 5y =15x-40 \\\\ y = 3x-8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5y=15x−40 y=3x−8 C

Ksenya-84 [330]

Answer:

Step-by-step explanation:

Converting the lines into the from $ax+by+c=0$

$5y=15x-40\\\Rightarrow 15x-5y-40=0$

$y=3x-8\\\Rightarrow 3x-y-8=0$

$\dfrac{a_1}{a_2}=\dfrac{15}{3}=5$

$\dfrac{b_1}{b_2}=\dfrac{-5}{-1}=5$

$\dfrac{c_1}{c_2}=\dfrac{-40}{-8}=5$

So, $\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$ .

Hence, these lines have infinitely many solutions.

3 0

2 years ago

(-4, -7) and (-6, 9) in slope-intercept form. Show work

BigorU [14]

Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

$m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8$

Putting slope in general equation

$y = -8x+b$

Putting (-6,9) in the equation

$9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39$

Putting the value of b we get

$y = -8x-39$

Hence,

Equation of line in slope-intercept form is: y = -8x-39

5 0

2 years ago

Ms.Lawrence had 550 in her bank account. The next day she withdrew 120 to buy groceries. She deposited 200 two days later. Fout

hjlf

Answer:

541

Step-by-step explanation:

550-120+200-89=541

7 0

2 years ago

Leo wants to paint a mural that covers a wall with an area of 300 square feet. The height of the wall is 1/3 of its length. What

andrew-mc [135]

Answer:

Length = 30

Height = 10

Step-by-step explanation:

Formula for the area = height * length. We know that the height of the wall is 1/3 of its length. This gives us another formula which is $h=\frac{1}{3} l$

Now substitute this into the formula, while knowing that the area is 300.

So we have 300 = $\frac{1}{3}l * l$

Solving for l gives us 30 and then substituting it back into the equation

$h = \frac{1}{3} l$ , will give us that the height is 10.

Hope this helps

4 0

2 years ago

What is the volume of the base of a pyramid is 18 square yards. The height of the pyramid is 5 feet tall if its base is a square

satela [25.4K]

Use the equation for volume of a pyramid (base x width x height)

8 0

2 years ago