Answer:
See below:
Step-by-step explanation:
We can first setup an equation by doing the following:
![4(2-x) = 3(x+1)\\8-4x=3x+3\\8-7x=3\\-7x=3-8\\-7x=-5\\x=-5/-7 (5/7)](https://tex.z-dn.net/?f=4%282-x%29%20%3D%203%28x%2B1%29%5C%5C8-4x%3D3x%2B3%5C%5C8-7x%3D3%5C%5C-7x%3D3-8%5C%5C-7x%3D-5%5C%5Cx%3D-5%2F-7%20%20%285%2F7%29)
Whole proccess above!
If you would like an explanation, please let me know so.
Its basically algebra and it's mainly on how you interpret it!
Have a nice day!
Answer:
x-intercept=-74
Step-by-step explanation:
<u>for</u><u> </u><u>x-intercept</u><u> </u><u>(</u><u>y</u><u>=</u><u>0</u><u>)</u>
y=83x+9
0=83x+9
-83x=-0+9
-83x=9
x=9/-83
x=-0.1
Solution: We know that:
Paul and Brett went to math class and were given the same expression to simplify. The expression they were given was 6 + 12 divided by 2(3) + 1.
Looking at the solution's by Paul and Brett, we clearly see that the Paul made a mistake at step 3.
6 + 12 ÷ 2(3) + 1
6 + 12 ÷ 6 + 1 Correct
18 ÷ 6 + 1 Incorrect It should have been 6 + 2 +1
According to order of operation's rule, division needs to done before addition.
Therefore, solution by Paul carries a mistake, while the solution by Brett is correct.
Answer:
Step-by-step explanation:
Step1: isolate the square root on the left hand side.
Original equation :x+1=√-6x-6
Isolate :x+1=√-6x-6.
Step2: raise both sides to the second power.
(x+1)^2=(√-6x-6)^2
(x+1)(x+1)=-6x-6
Step3: after squaring, solve the quadratic equation.
x^2+2x-1=-6x-6
x^2+8x+7=0
x^2+7x+x+7=0
x(x+7)+1(x+7)=0
(x+1)(x+7)=0
x=-1,-7
Step4:check that the first solution correct.
Input x=-1 into the original equation
x+1=√-6x-6
-1+1=√+6-6
0=0
Step5:check that the second equation is correct.
Input x=-7 into the original equation
x+1=√-6x-6
-7+1=√42-6
-6=√36
-6#6
Therefore one solution is found.
x=-1
Answer:
y=112
x=68
Step-by-step explanation:
Since x had to be 44 less than y, I divided y by 2 to get 22. Then, I added 2 to get 24 because the ones have to be the same. Next, I added 24 with 44 to get 68, which is x. Then I added 68 with 44 to get 112, which is y.
Then, to check my work, I added 68 and 112 and got 180, which is the angle of a straight line.