Step-by-step explanation:
you can see the steps above
Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
5. The blue one is y >= 5x - 7
and green is y >= -0.65x + 3
6. y <= (4/5)x
y >= -(5/4)x
Answer:
87.5%
Step-by-step explanation:
There are 376 students in 8th grade at Samuel's school. There are 47 8th graders trying out for football last Thursday.
The number is students not trying out for football last Thursday is calculated as:
376 students - 47 students
= 329 students
The percent of 8th graders that did not try out for football is calculated as:
329 students/376 students × 100
= 329/376 × 100
= 87.5 %
