First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
11 ⅓ gallons.
Explanation:
Since she sold 3⅓ gallons more on Sunday than she did on Saturday, you need to add 10⅔+3⅓. ⅓+⅔=3/3, or 1. 10+3=13, and 13+1=14. She sold 14 gallons on Sunday.
On Monday, she sold 2⅔ less than she did on Sunday, so we need to do 14-2⅔. 14-2 is 12, and 12-⅔= 11⅓. This means that she sold 11⅓ gallons on Monday.
Hope this helps :)
Answer:
<h2>No,they are not</h2>
Step-by-step explanation:
An algebraic expression must contain and unknown value to solve for.
Answer:
Statement D is correct.
Step-by-step explanation:
Solution:
Data Given:
Linear Regression Relationship = Speed = 10.3 + 5.4 (hour)
Linear Regression Relationship = y = mx + c
Here,
m = slope = 5.4
c = 10.3 = y - intercept
The correct Answer is D)
Because:
As, the residual value is positive, it means the typist attained faster speed than the model predicted. As we know, residuals is the result of difference between predicted values of the model and data values. On the contrary, if residual would be negative then we would say that typist speed is slower than the model predicted.
Hence, Statement D is correct.
The answer is <span>0.04166666666</span>
