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Len [333]
3 years ago
13

How do you find y? ∣3y−1∣+∣2y+3∣>5

Mathematics
1 answer:
Alexandra [31]3 years ago
5 0
Let's solve your inequality step-by-step.

<span><span><span><span><span>3y</span>−1</span>+<span>2y</span></span>+3</span>>5

</span>Step 1: Simplify both sides of the inequality.<span><span><span>5y</span>+2</span>>5

</span>Step 2: Subtract 2 from both sides.<span><span><span><span>
5y</span>+2</span>−2</span>><span>5−2</span></span><span><span>
5y</span>>3</span>
Step 3: Divide both sides by 5.<span><span><span>
5y/</span>5</span>><span>3/5</span></span><span>
y><span>3/<span>5

hopefully this helps and here's a link that i used to use a lot in middle school 
https://www.symbolab.com/solver/solve-for-equation-calculator
</span></span></span>
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You exercise for one hour each day and you burn 8.5 calories per minute. If you graphed the number of calories you burned as the
kirill115 [55]
In a graph, the general rule is that the output is the y axis and the input is the x axis. Therefore, we can say that the number of calories burned will be along the y axis and the minutes will be along the x axis. 

(A) The graph would be a line.
This would be <u>true</u>, because you are burning calories at a steady rate. This means that the graph will also be increasing steadily, rather than dropping randomly.

(B) The graph would rise from left to right.
This would be <u>true</u>, because your graph will be increasing positively. If it rose right to left, that would mean the more time passed, the less calories burned.

(C) <u /><span>The graph would be only in the first quadrant.
This would be <u>true</u>, because your graph, as said before, will be increasing positively. At the rate you're going at, it isn't possible to burn negative calories or spend a negative amount of time exercising. 

(D) <u /></span><span>The larger the number of minutes, the fewer calories you would burn.
This would be <u>false</u>, because you burn 8.5 calories per minute. This indicates that the more time passed, the more calories you will burn. In order for it to be true, 8.5 would have to be negative.


<em>The picture attached is an idea of what the graph would look like.</em>
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4 0
3 years ago
If A(3, 2, 9) and B(-4, 7, 2) are two points in 3-space, then find the vector AB.
Klio2033 [76]

Hello from MrBillDoesMath!

Answer:

AB = (-7,5,-7)

Discussion:

The vector AB = B - A =

(-4, 7, 2)   -  (3, 2, 9)  =                      => subtract component-wise

(-4 -3, 7-2, 2-9) =

(-7,5,-7)

Thank you,

MrB

5 0
3 years ago
Help help help<br> help help help
IRINA_888 [86]

Answer:

D

Step-by-step explanation:

Formula is (side^2*sqrt3)/4 so 8sqrt3^2 so (216sqrt3)/4=48sqrt3= around 83

6 0
3 years ago
identify the equation that does not belong with the other three. explain your reasoning. 6+x=9 | 15= x+12 | x+9 =11 | 7+x=10
Katena32 [7]
Answer is x+9=11

6+x=9
x=3

15=x+12
x=3

7+x=10
x=3

x+9=11
x=2

So x+9=11 has a different x value than the rest of the equations. So it doesn't belong with the other three.
6 0
3 years ago
Solve the equation 4-2(x+7)=3(x+5) =
kumpel [21]

Hi there!


To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)


Let us solve your equation step-by-step.


Step 1) Simplify both sides of the equation.


To simplify this, we will...


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


4 + - 2x + - 14 = 3x + 15


(-2x) + (4 + - 14) = 3x + 15


Now, we combine Like Terms...


-2x + - 10 = 3x + 15


-2x - 10 = 3x + 15


Fwew! That was probably going to be the longest step here!


Step 2) Subtract 3x from both sides.


- 2x - 10 - 3x = 3x + 15 - 3x


- 5x - 10 = 15


Step 3) Add 10 to both sides.


- 5x - 10 + 10 = 15 + 10


- 5x = 25


Step 4) Divide both sides by -5.


-5x/-5 = 25/-5


So, our final answer is x = -5.


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

8 0
3 years ago
Read 2 more answers
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