Answer:
Step-by-step explanation:
The 
-intercept of a line is the value when 
. In the equation 
, we can solve for its equation when we plug in .
Solving for when :
.
So the -intercept of the equation is 
.
To find what equation has the same -intercept, we can do the same process for each equations given by the choices. However, I can see that the equation, , has the -intercept. If in doubt, you can check for the solution below or solve each equations for yourself.
Solving for when :
h^2 - 12h + 20 can be factored to:
(h-10)(h-2)
These cannot be zero so, h cannot be 10 or 2.
Answer:
6%
Step-by-step explanation:
- 90 + 60 = 150
- 7 + 2 = 9
- Set up a proportion:
- Cross multiply, then divide: 9 × 100 = 900, 900 ÷ 150 = 6
- So, 6% of students in 6th grade were left-handed
I hope this helps!
Step-by-step explanation:
Let Xb be the no of braclets made
Let Xn be the no of necklaces made
Max Z=250Xb + 500Xn (Objective Function)
Subject to
2Xb + 5Xn <= 625 (rubies)
3Xb + 7 Xn <= 800 ( diamonds)
4Xb + 3 Xn <= 700 (Emeralds)
Xb>=0 (non-negativity)
Xn >= 0 (non negativity
Answer:
-0.9090... can be written as 
.
Explanation:
Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.
We can start by listing out
0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now. we let this series be equal to x, that is
= 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now, we'll multiply both sides by 100
.
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...
Then, subtract the 1st equation from the second like so:
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
= - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...
And we end up with this:
Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.
Which can be reduced and simplified to
Hope this helps!
