What is an equation of the line that passes through the points (-4,-2)<br> and (8, 1)?

8(3 – 2x)+ 4(3x – 2)=-16 <br>Can someone solve for x? please

castortr0y [4]

Answer: x = 8

Step-by-step explanation:

8(3-2x) + 4(3x - 2) = -16

expanding the equation , we have

24 - 16x +12x - 8 = -16

16 - 4x = -16

collecting the like terms

4x = 32

x = 32/4

x = 8

4 0

4 years ago

Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.

nika2105 [10]

Answer:

Week=25 Hours

Weekend= 5 Hours

Step-by-step explanation:

So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).

$20x+$30y=$650

We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.

The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).

x=5y Now, since we have one variable by itself, we can plug it in for x in the first equation.

20(5y)+30y=650 Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.

100y+30y=650 Next add the like terms together (100y+30y).

Now all we have to do to find y is divide by 130 on both sides to get y alone.

130y=650

________

130 130

y=5 Now to solve for x we just plug our y value into one of the equations above. I'm going to use the second equation.

x=5(5)

x=25

3 0

3 years ago

I have a slope of -4 (m=-4), would that be negative four over positive one or would that be negative 4 over negative one?

katrin [286]

If you have a slope of -4 then it would be -4/1 because rise/run. If it were -4/-1 then the slope would be 4.

3 0

3 years ago

Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.

I am Lyosha [343]

Assume Charles charges $7*3=$21 if he babysits for 2,5 hours (that is 2 and a half hours).

That is we are not considering Charles babysitting exactly 1, 2, 3 or 4 hours, but also in between times.

then we can write the following piecewise function to describe the situation:

f is a function from (0, 4] to {$7, $14, $21, $28}

$f(x)=\begin{cases} 
 \$7 & if \enspace \enspace x\leq 1 \\
 \$14 & if \enspace \enspace 1\ \textless \ x\leq 2 \\
 \$21 & if \enspace\enspace 2\ \textless \ x\leq 3 \\
 \$28 & if \enspace\enspace 3\ \textless \ x\leq 4 \
 \end{cases}$

6 0

3 years ago

In the calm waters of an inlet, Manon's boat moves with a velocity (speed and direction) vector \vec{b_1} = (3,4) b 1 =(3,4)

andrew-mc [135]

Answer with Step-by-step explanation:

We are given that

$b_1=(3,4)$