<span><span><span><span>3</span><span>y</span><span></span></span>=<span><span>(x+1)</span><span>2</span></span></span>±√</span><span><span><span><span><span>3</span><span>y</span><span></span></span></span><span></span></span>=x+1</span>√<span><span><span><span><span><span>3</span><span>y</span><span></span></span></span><span></span></span>−1,−<span>√<span><span><span><span>3</span><span>y</span><span></span></span></span><span></span></span></span>−1=x</span>x=<span>√<span><span><span><span>3</span><span>y</span><span></span></span></span><span></span></span></span>−1,−<span>√<span><span><span><span>3</span><span>y</span><span></span></span></span><span></span></span></span>−<span>1</span>
</span>
Let notebooks be x and let pencils be y
4x+9y=8.25 (equation 1)
7x+14y=14.00 (equation 2)
Multiply equation 1 by 7
So that you get 28x+63y=57.75
Multiply equation 2 by 4
So that you get 28x+56y=56.00
28x+63y=57.75 -
28x+56y=56.00
-----------------------
7y=1.75
Divide both sides by 7
1.75/7 is 0.25
So, now we know that one pencil costs 0.25 cents
Sub this y value into equation one
4x+9(0.25)=8.25
4x+2.25=8.25
Move 2.25 to the other side as a negative number
4x= 6
Divide both sides by 4
6/4 is $1.50
So, one pencil is equal to 0.25 cents and one notebook is equal to $1.50
Draw a number line with 10 positives and 10 negatives. Count from 0 to 8. Now, from 8, count back 12 spots. From that spot, go back to 0, which is their original position. The number you counted there is your answer.
Answer:
All solutions
Step-by-step explanation:
When solving by substitution, we will first set one equation equal to a variable, and then plug that value into the second equation as the variable. Here is what I mean;
x - 2y = 1
3x - 6y = 3
-
x = 1 + 2y
3x - 6y = 3
-
3(1 + 2y) - 6y = 3
3 + 6y - 6y = 3
3 = 3
[] Oh no! This doesn't work well. Let's graph it and see what is happening;
-> See attached
-> I have made the lines very thick so you can see the overlap, they are the same size in reality
The answer is all solutions because the graphs are exactly the same.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
For the first question its X=110 For the second question angle AEF is 75 degrees and for angle ADF is 105 degrees
Step-by-step explanation:
the total angle is 150 so take 4+22 and you get 26 then add 6+8 and you get 14 add 26+14 and you get 40 do 150-40 and you get 110 therefore x=110
