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2 years ago

3( x - 2 ) + 2 (4x - 1)

Mathematics

1 answer:

Vika [28.1K]2 years ago

4 0

Answer:

11x-8

Step-by-step explanation:

First distribute the 3 and 2. (Only in the parenthesis!):

3(x-2)+2(4x-1)

3x-6+8x-2

Combine like terms:

3x+8x=11x

-6-2=-8

So the answer is:

11x-8

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

olganol [36]

Answer:

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

Step-by-step explanation:

Hi there!

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.

<u>1) Determine the slope of the parallel line</u>

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 $y=mx+b$ :

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

<u>2) Determine the y-intercept</u>

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

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

2 years ago

The volume of a sphere is 972(pi)ft3.

pav-90 [236]

Here are some simple equations that can be a life saver with this stuff :

vol of a sphere =

$v = \frac{3}{4} \pi \: {r}^{3}$

Circumference =

$2 \times \pi \times r$

sorry this might not be very helpful. I haven't don't this since last year. You basically have to work backwards. so plug in 972 for V and then do (3/4)×3.14.

then take the answer u got for ^^ and divide it by 2? not sure.

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3 years ago

Item 1<br> Question 1<br> Solve 52x>5. Graph the solution.

Natasha_Volkova [10]

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2 years ago

What is the approximation of 8

Sophie [7]

Answer:

you take the numbers from 1 to 9 in descending order and divide them by the numbers from 1 to 9 in ascending order you get a really good approximation of 8 that is accurate up to eight digit. I also found some other approximations, but their less accurate and interesting.

Step-by-step explanation:

3 0

2 years ago

Please help, super confused :(

alexandr1967 [171]

Answer:

Below.

Step-by-step explanation:

The graph shown is f(x).

3. The graph 3 is the same shaped graph as drawn but moved 3 units to the left.

4. The graph 4 is the same shaped graph as drawn but moved 5 units to the right.

Hope this helps.

4 0

1 year ago