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3 years ago

Which of these numbers is a solution for 12 - X < 7

Mathematics

2 answers:

Inessa [10]3 years ago

7 0

Answer:

x > 5

Step-by-step explanation:

Please: If possible answers are given, share them.

To solve 12 - X < 7, add x to both sides, so that x is positive:

12 < x + 7

Now subtract 7 from both sides, to isolate x:

5 < x or x > 5

galben [10]3 years ago

5 0

Answer:

x > 5

Step-by-step explanation:

$12 - x < 7$

i) move constants to the right-hand side and change its sign

$- x < 7 - 12$

ii) calculate the difference

$- x < - 5$

iii) change the signs on both sides of the inequality and flip the inequality sign

$x > 5$

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julio is payed 1.4 times his normal hourly rate for each hour he works over 30 hours in a week last week he worked 35 hours and

Morgarella [4.7K]

Divide 30/1.4 and 436.60 should give uu how much he makes in his normal hourly rate multiply that by 5 and subtract that number from 436.60

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3 years ago

Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided or the upload

zimovet [89]

Answer:

m = (2-(-2))/(2-(-2)) = 4/4 = 1
y +2 = 1(x +2)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (x1, y1) is ...

y -y1 = m(x -x1)

To find the slope of the line, find the ratio of the difference in y-values of the points to the difference in corresponding x-values. Here, the slope is ...

m = (2 -(-2))/(2 -(-2)) = 4/4 = 1 . . . work to compute slope

The problem statement tells you x1 = -2, y1 = -2. Putting the numbers in to the point-slope form gives ...

y -(-2) = 1(x -(-2))

y + 2 = x + 2 . . . equation form with m, (x1, y1) filled in

The answer at the top leaves the slope shown as 1. We don't know how much simplification you are expected to do. Obviously, this <em>could</em> be simplified to y=x, but then the use of (-2, -2) for the point would not be obvious.

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3 years ago

Does the square root of a rational number have to come out as a rational number?

AlekseyPX

Answer:

no it does not have to

Step-by-step explanation:

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3 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

Elanso [62]

Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

-4y=-3x+7

Divide both sides by -4:

$y=\frac{-3}{-4}x+\frac{7}{-4}$

Simplify:

$y=\frac{3}{4}x+\frac{-7}{4}$

So the slope of this line is 3/4. So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of $y=\frac{3}{4}x+b$ .

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

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

$-2=-3+b$

$3-2=b$

$b=1$

so the equation of our line in slope-intercept form is $y=\frac{3}{4}x+1$

So that isn't option 1 because the slope is different. That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

$y=\frac{3}{4}x+1$

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

$4y=3x+4$

Subtract 3x on both sides:

$-3x+4y=4$

I don't see this option either.

Multiply both sides by -1:

$3x-4y=-4$

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

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3 years ago

Read 2 more answers

The equation and the variable

pav-90 [236]

Variable: $175=P $40=L $375=TB
x=TB-P/L

Equation: $375-$175/$40=5
This means that the amount of hours you paid for is 5 hours.

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4 years ago

Which of these numbers is a solution for 12 - X < 7​

Which of these numbers is a solution for 12 - X < 7