Answer:

Step-by-step explanation:
Remember:
![(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Ba%7D%29%5En%3Da%5C%5C%5C%5C%28a%2Bb%29%3Da%5E2%2B2ab%2Bb%5E2)
Given the equation
, you need to solve for the variable "x" to find its value.
You need to square both sides of the equation:


Simplifying, you get:

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

Then:

Let's check if the first solution is correct:

(It checks)
Let's check if the second solution is correct:

(It does not checks)
Therefore, the solution is:

Answer:
a) 7 weeks b) George's
Step-by-step explanation:
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
Answer:
Option D y=-3x^2 +4
Step-by-step explanation:
This is the correct answer because the graph is going down which shows that it is negative and the y intersect is +4
4. k less than 3.5, so a number k is being taken away from 3.5:
The answer is 3.5-k
5. the sum of g and h, reduced by 11, so you need a set of parentheses to write this one: (g+h)-11
6. 5 less than y, plus g, so do a combination of the strategies used in the previous two problems and you will get: (y-5)+g
7. 5 less than the sum of y and g, you are taking away 5 from the sum of two numbers, y and g, so: (y+g)-5
Hope this helps :-)