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3 years ago

PLEASE HELP ASAP!

Mathematics

2 answers:

padilas [110]3 years ago

8 0

Answer: x ≥ 39

Step-by-step explanation:

Let x represent the 1st odd integer

Then x + 2 represents the 2nd odd integer

1st odd # plus 2nd odd # is at least the Sum

x + x + 2 ≥ 80

2x + 2 ≥ 80

2(x + 1) ≥ 2(40)

x + 1 ≥ 40

x ≥ 39

Marta_Voda [28]3 years ago

4 0

Let x = larger odd integer

then (x-2) is the smaller odd integer

Translate:

"sum of two consecutive odd integers is 80" means (x-2) + x = 80

2x -2 - 80

2x = 82

x = 41

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Readme [11.4K]

Answer:

The answer is 3 , 1 , 2 .

Step-by-step explanation:

I will give an example.

e.g.

x² + 3x + 2

Step 3 :

Set the equation equal to zero :

x² + 3x + 2 = 0

Step 1 :

Completely factor the equation :

x² + x + 2x + 2 = 0

x(x+1) + 2(x+1) = 0

(x+2)(x+1) = 0

Step 2 :

Set each factor equal zero and then solve for the variable :

(x+2)(x+1) = 0

x + 2 = 0

x = -2

x + 1 = 0

x = -1

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3 years ago

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I don't know what the answer is to divide 180 in a ratio of 4:5:9

Karolina [17]

Hello there,

First you need to add together the numbers.
4+5+9 = 18
Divide the total by this,
180 / 18 = 10
Multiply each number by 10.
40:50:90.

Hope This Helps You!
Good Luck Studying :)

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3 years ago

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What is the dependent variable in y=x+12

erma4kov [3.2K]

The independent variable is x

y is dependent on the value of x

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1 year ago

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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.

7 0

3 years ago

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