Answer:
The height increases as the ferris wheel goes up.
Step-by-step explanation:
3(8 + 6n) = 6n - 12
equals n = -3.
First, expand. Your problem should look like: 24 + 18n = 6n - 12.
Second, subtract 6n from both sides. Your problem should look like: 24 + 18n - 6n = -12.
Third, simplify 24 + 18n - 6n to 24 + 12n. Your problem should look like: 24 + 12n = -12.
Fourth, subtract 24 from both sides. Your problem should look like: 12n = -12 - 24.
Fifth, simplify -12 - 24 to -36. Your problem should look like: 12n = -36.
Sixth, divide both sides by 12. Your problem should look like: n = -
![\frac{36}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B36%7D%7B12%7D%20)
.
Seventh, simplify
![\frac{36}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B36%7D%7B12%7D%20)
to 3. Your problem should look like: n = -3, which is your answer.
The area formula for a rectangle is A = L*W. We have the area as 3197, now we just have to find a way to directly relate the length to the width with only one unknown, since we can't have 2 unknowns. The problem tells us that the length is 22 in. less than 7xW. That will be expressed as L=7W-22, and width is just W. Filling in we have 3197=W(7W-22). Distributing through the parenthesis we have
![3197=7W^2-22W](https://tex.z-dn.net/?f=3197%3D7W%5E2-22W)
. Since we have to solve for x and the only way we can do that is by factoring, we will move the 3197 over to the other side by subtraction and then factor the quadratic.
![7W^2-22W-3197=0](https://tex.z-dn.net/?f=7W%5E2-22W-3197%3D0)
. I recommend putting that into the quadratic formula, and when you do you get W values of 23 and -19.857 The only 2 things in math that will never EVER be negative are time and distance/length. And since one of our lengths there is negative we know that that is not the one we will use. Therefore, the width is 23. The length then is L=7(23)-22 which is 139
Answer:
6y^2-7y-3
Step-by-step explanation:
<u>(-7-10y+6y^2)+(4+3y)</u>
<u>-7-10y+6y^2+4+3y </u><u><em>(Plus before brackets means the numbers stays the same)</em></u>
<u>6y^2+3y-10y+4-7</u><u><em> (Arrange them)</em></u>
<u>6y^2-7y-3 </u><u>(Do the maths)</u>
<u />
Answer:
x=12
Step-by-step explanation: