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3 years ago

Which represents the solution for the inequality 3x- 7 > 5?

Mathematics

1 answer:

omeli [17]3 years ago

8 0

Answer:

x > 4

Step-by-step explanation:

3x - 7 > 5

3x - 7 + 7 > 5 + 7

3x > 12

x > 4

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Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-

levacccp [35]

Given:

The equation of parallel line is:

$3x-2y=5$

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).

To find:

The equation of required line.

Solution:

Midpoint of line segment joining the points (-4,2) and (2,4) is:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)$

$Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)$

$Midpoint=\left(-1,3\right)$

It means the required line passes through the point (-1,3).

The slope of line $Ax+By=C$ is:

$m=\dfrac{-A}{B}$

The given equation is:

$3x-2y=5$

Here, A=3 and B=-2. So, the slope of the line is:

$m=\dfrac{-3}{-2}$

$m=1.5$

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

$y-y_1=m(x-x_1)$

$y-3=1.5(x-(-1))$

$y-3=1.5(x+1)$

$y-3=1.5x+1.5$

Adding 3 on both sides, we get

$y=1.5x+1.5+3$

$y=1.5x+4.5$

Therefore, the equation of the required line is $y=1.5x+4.5$ .

8 0

3 years ago

Julian is a teaching assistant at a local community college. A tutor at the same college works the same hours as Justin but earn

mafiozo [28]

The equation for this would be 2x+15000=102,000
2x=87000
x=43500
julian makes 58500
and tutor makes 43500

3 0

3 years ago

105.6 L/h = ___ L/min?

Korvikt [17]

105.6 L/h = 1.76 L/min :))))
i hope this be helpful
have a nice day

3 0

3 years ago

Simply 9+3(8-3(7-5))-4

EastWind [94]

Answer:

Step-by-step explanation:

9+3(8-3(7-5))-4
9+3(8-3(2))-4
9+3(8-6)-4
9+3(2)-4
9+6-4
15-4
11

I first delt with simplifying the parentheses till step five. Then in five I just added 9+6 because it came before the -4. But PEMDAS is very important when doing these problems because it tell you the order

P (parentheses)
E (exponents)
M (multiply)
D (divide)
A (add)
S (subtract)
**the biggest thing is that with multipe and divide it depends what comes first. If you see divide before multipe in the problem just do it that way. It is the same way with add and subtract but The multiple/divide group ALWAYS comes BEFORE add/subtract

4 0

3 years ago

Which line passes through the point (-1,-4) ?

Step2247 [10]

Answer:

C) y-x=-3

Step-by-step explanation:

Because -4-(-1)=-4+1=-3.

5 0

3 years ago

Which represents the solution for the inequality 3x- 7 > 5?​

Which represents the solution for the inequality 3x- 7 > 5?