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3 years ago

Can anyone one solve 1 - 6 ?

Mathematics

2 answers:

Lisa [10]3 years ago

7 0

the answer to your question is 1 - 6 = -5 (:

VashaNatasha [74]3 years ago

5 0

(1)

f(x) + g(x) = 3x + 2 + 2x + 5 = 5x + 7

f(x) - g(x) = 3x + 2 - 2x - 5 = x - 3

(2)

f(x) + g(x) = 4x - 1 + 3x - 4 = 7x - 5

f(x) - g(x) = 4x - 1 - 3x + 4 = x + 3

(3)

f(x) + g(x) = - 5x + 3 + 2x - 4 = - 3x - 1

f(x) - g(x) = - 5x + 3 - 2x + 4 = - 7x + 7

(4)

f(x) + g(x) = 3x - 4 - 2x + 3 = x - 1

f(x) - g(x) = 3x - 4 + 2x - 3 = 5x - 7

(5)

f(x) × g(x) = - 2(- x + 7 ) = 2x - 14

(6)

f(x) × g(x) = - 5(2x - 7) = - 10x + 35

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<em>The correct option is: C) 4x(3y + 7z)</em>

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Given expression is: $12xy+28xz$

First we need to find the GCF(Greatest common factor) of $12xy$ and $28xz$ and then we will factor out that GCF.

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

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Answer:

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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