<h3>
Answer: D) 5/2</h3>
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Explanation:
The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.
Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2
Note: 5/2 = 2.5
Answer:
One block - 15
Two blocks - 30
Three blocks - 45
Four blocks - 60
Five blocks - 75
Equation: 25 + 5x = 100
Step-by-step explanation:
This is a pretty simple problem. The scale is balanced and from what we know, the 100 and 25 are on different sides. If we want the scale to be balanced, then we have to solve the equation:
25 + 5x = 100.
(We have the 5x because we have 5 blocks that are marked as x)
subtract 25 from both sides
25-25 + 5x = 100-25
5x = 75
the following step is to divide both sides by 5.
5x/5 = 75/5
x = 15
Now that the equation is solved, we know that ONE blocked marked as X equals 15-g.
(All five of them equal 75-g)
Hey there, CrisisOnCats!
Absolute value is when any value that's inside the box, positive or negative, will always come out as positive.
For this one, you solve it as a normal equation, solving for x.
So, 8 = 5 - x
8-5 = 5-5 - x
3 = -x
x = -3
One value can be -3
To find the other value, just find any value that's equal to 8 when added or subtracted from 5, negative or positive.
We have 13 in this case.
5 - 13 is equals to -8 but since it's absolute value, it would be positive 8.
So, the answer is D
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For this question you can say:
log(x-2) - log(x+1) = -1
and you should know that log(x-2) minus log(x+1) is equal to:
log((x-2)/(x+1))
so now you have:
log((x-2)/(x+1)) = -1
now you can say:
(x-2)/(x+1) = 10^ -1 or (x-2)/(x+1) = 1/10
now you can say:
10(x-2) = x+1
10x -20 = x +1
10x - x = 20+1
9x = 21
x = 21/9
x = 7/3 :)))
I hope this is helpful
have a nice day