(1) y= - x² - 4x + 9 and (2) y + 5x = - 7. Isolate y in (2); y= - 5x - 7 (3)
Since (1) and (3) have the same value or the same y, then we can write:
(1)=(3)
- x² - 4x + 9 = - 5x - 7
-x² - 4x + 9 + 5x +7 = 0
-x² + x + 16 = 0 OR x² - x - 16 = 0
Solve this quadratic equation:
x' = [-b+√(b²-4ac)]/(2a) and x" = [-b-√(b²-4ac)]/(2a)
x' = [+1+√(-1)² - 4(1)(-16)]/2 → x' = [1+√(1+64)]/2 → x' = [1+√65)]/2
x" = [+1-√(-1)² - 4(1)(-16)]/2 → x' = [1-√(1+64)]/2 → x' = [1-√65)]/2
x' = [1+√65)]/2 = + 4.5311
x" =[1-√65)]/2 = - 3.5311
Answer: the bakery can make 140 cookies in 20 minutes
Step-by-step explanation: hope it helps
Answer:
-1/3 or -2/6
Step-by-step explanation:
First, you pick two points, I did (-5,10) and (1,8). Then, because slope is y(2)-y(1)/ x(2)-x(1), the equation would be 8-10/1-(-5) which equals -2/6 which simplifies into -1/3.
(hope this helps!)
Answer:
Mean, m = 72
Step-by-step explanation:
It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.
It is required to find the mean of his grades.
Mean of a data is given by :
Sum of observations is 62 + 78 + 59 + 89 = 288
Total no of observations are 4
So, mean of his grades is :
So, the mean of his grades is 72.
Slope is rise/ run, or change in y/ change in x. the error was that the person out run/rise, so the correct answer is 4/6.
