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2 years ago

Z-31=16??? I just got into the Z section in algebra and my teacher gave us a paper with no explanation plz help ty!

Mathematics

1 answer:

cluponka [151]2 years ago

8 0

Answer:z=47

Step-by-step explanation:

You're doing this because if you have z-31=16 you have to + 31 to 16 which would give you 47 then that would be a one step equation

z-31=16

you would make a line between the equal sign so it is organized then plus 31 to sixteen then that would get you to 47

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They will hike 6.25 miles a day

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2 years ago

Read 2 more answers

How do you solve -1x+20 is greater than -7+35

rusak2 [61]

$\huge\fbox{Hello~there!}$

Let's solve this inequality!

$\rm{-x+20>-7+35$

What can we do to solve this inequality? Well, first of all, we can add -7 and 35:

$\rm{-x+20>28$

Now, move 20 to the right, using the opposite operation:

$\rm{-x>28-20$

Subtract:

$\rm{-x>8$

Divide both sides by -1 to isolate x:

$\rm{x$ (Answer)

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<em>Additional comment</em>

When we divide both sides of an inequality by a negative number, we flip the inequality sign.

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I hope you find it helpful.

Feel free to ask if you have any questions.

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2 years ago

A parabola opening up or down has vertex (0,0) and passes through (12, -18). Write its

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The equation is y= -1/8x^2

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3 years ago

Laura lives 15 miles east of Kevin’s place. Kevin lives 8 miles south of Michelle’s place. How far does Michelle live from Laura

My name is Ann [436]

Answer:

17 miles.

Step-by-step explanation:

Let's define:

North as the positive y-axis

East as the positive x-axis.

We know that Laura lives 15 miles east of Kevin's place.

Kevin lives 8 miles south of Michelle's place.

So, if we define the origin, (0, 0) as Laura's place.

From:

"that Laura lives 15 miles east of Kevin's place."

We have that the location of Kevin's house is 15 miles west from Laura's place, then Kevin's house is at:

(0, 0) + (-15mi, 0) = (-15mi, 0)

From Kevin lives 8 miles south of Michelle's place, we know that Michelle's live 8 miles north of Kevin's place.

Then the location of Michele's house is the location of Kevin's plus (0, 8mi).

Michelle's house is located at:

(-15mi, 0) + (0, 8mi) =(-15mi, 8mi)

Now we want to find the distance between Michelle's house and Laura's house.

Michelle's house is at (-15mi, 8mi)

Laura's house is at (0mi, 0mi)

Remember that the distance between two points (a, b) and (c, d) is given by:

$D = \sqrt{(a - c)^2 + (b - d)^2}$

Then the distance between (-15mi, 8mi) and (0mi, 0mi) is:

$D = \sqrt{(-15mi - 0mi)^2 + (8mi - 0mi)^2} = 17mi$

The correct option is the first one, 17 miles.

6 0

3 years ago

Question is in screenshot. Please answer it correctly

fomenos

a) You need to sell 12 or 29 dresses.

b) Any number between 2 and 39 dresses will give a positive profit.

<h3>How many dresses must be sold in order to make a profit of 3000 euros?</h3>

Here we know that the profit, in euros, as a function of the number of dresses sold is:

P(x) = -11*x^2 + 450*x - 800

Now, if you want to find how many dresses you need to sell to have a profit of 3000 euros, then you need to solve:

P(x) = 3000 = -11*x^2 + 450*x - 800

So we need to solve the quadratic equation:

-11x^2 + 450x - 800 - 3000 = 0

-11x^2 + 450x - 3800 = 0

The solutions are given by Bhaskara's formula:

x = (-450 ± √(450^2 - 4*(-3800)*(-11))/2*(-11)

x = (-450 ± 187.9)/(-22)

We have two solutions that give the same profit:

x = (-450 + 187.9)/-22 = 11.9 that can be rounded to 12.
x = (-450 - 187.9)/-22 = 28.99 that can be rounded 29.

Then if you sell either 12 or 29 dresses, you will get a profit of 3000 euros.

b) To make a profit you need to sell more than P = 0, so let's solve that first:

P= 0 = -11*x^2 + 450*x - 800

The solutions are:

x = (-450 ± √(450^2 - 4*(-800)*(-11))/2*(-11)

x = (-450 ± 409)/(-22)

The smaller solution is:

x = (-450 + 409)/-22 = 1.86 that can be rounded to 2.

(because you can't sell 1.86 of a dress)

The other solution is:

x = (-450 - 409)/-22 = 39

So, between 2 and 39 dresses, you will make a profit.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ1

6 0

1 year ago