Answer:
(x+2)² - 11
Step-by-step explanation:
Regroup terms
x² + 4x - 7
(x² + 4x) - 7
Complete the square
coefficient of x term: 4
divide coefficient in half: 2
square it: 2²
use 2² to complete the square:
(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11
You must go to the water park for 8 days to make buying the season pass worth it.
<em><u>Explanation</u></em>
Suppose, the number of days you must go to the water park is ![x](https://tex.z-dn.net/?f=x)
Admission for the park is 17.50 per day. So, <u>the total cost for
days</u> will be: ![17.50x](https://tex.z-dn.net/?f=17.50x)
Given that, the season pass cost 125. So, the equation will be.....
![17.50x=125\\ \\ x=\frac{125}{17.50}=7.142...\\ \\ x \approx 8](https://tex.z-dn.net/?f=17.50x%3D125%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B125%7D%7B17.50%7D%3D7.142...%5C%5C%20%5C%5C%20x%20%5Capprox%208)
<em>(As the number of days can't be in decimal)</em>
So, you must go to the water park for 8 days to make buying the season pass worth it.
Answer:
388
Step-by-step explanation:
97 more to go.
97 * 4
the sequence multiplies by 4 every time.
= 388
Answer:
a = ![\frac{6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B5%7D)
Step-by-step explanation:
Given
ai + bj and 5i - 2j are perpendicular and b = 3, that is
ai + 3j and 5i - 2j are perpendicular, then
The scalar product = 0 , that is
5a - 6 = 0 ( add 6 to both sides )
5a = 6 ( divide both sides by 5 )
a = ![\frac{6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B5%7D)
This is just a guess, but I’m very confident.
APO is equal to about DQO. The reasoning is because that if AO = DO, then A is the same distance from O as D is to O. Basically, the sides are symmetrical, therefore APO would equal DQO.