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3 years ago

Solve 37+z≤54 then graph the solution

Mathematics

1 answer:

CaHeK987 [17]3 years ago

4 0

This is the answer I think

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

3 years ago

a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the

ss7ja [257]

Answer:

16/100 = 4/25

Step-by-step explanation:

4/10 * 4/10 = 16/100

8 0

2 years ago

Solve the equation below for W. - 4w + 5 = w+ 2 - 6

lana [24]

Answer:

The answer to the equation is W=1.8

8 0

3 years ago

The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3. If an elephant weighs

Crank

This problem can be solved using ratios:

$100:3 = 3800:x$

Now we solve for x by doing the following algebra:

$3800*3 = 100x$

$11400 = 100x$

$114 = x$

The answer is 114 pounds

7 0

3 years ago

Read 2 more answers

7. Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Solve the following quadratic equation

Alona [7]

Answer:

Option B

Step-by-step explanation:

Find the zeros of each factor thus,

4x+3=0

x=-¾

And x-6=0

x=6

7 0

3 years ago