Answer:


Step-by-step explanation:
2x² +21x-61 = (x+7)²
expand
2x² + 21x - 61 = x² + 14x +49
move everything to one side
x² + 7x - 12 = 0
use quadratic formula

plug in the values

solve



Answer:
y = 2/3 x -2
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
We need to solve for y
2x-3y = 6
Subtract 2x from each side
2x-2x-3y=-2x+6
-3y = -2x+6
Divide by -3
-3y/-3 = -2/-3x+6 /-3
y = 2/3 x -2
The slope is 2/3 and the y intercept is -2
first of all you add all of the ratios together so it would be 1+3+5
That equals 9 then divide 72 by 9 which gets you 8. Then you times 8 by all of the ratios to get the answer
8:24:40
Answer:
Twenty two over nine.
Step-by-step explanation:
The bar over the 4 means that 4 is recurring .44444......... It goes on with out bounds and is equal to 4/9.
So 2.4 = 2 4/9
= 22/9.
Answer:
Option A. The average number of crisps per can of Pringles is less than 100.
Step-by-step explanation:
We are given that the member of consumer group is wants to determine whether the average number of crisps per can of pringles is less than the average number of crisp mentioned in an advertisement whereas average number of crisp mentioned in an advertisement are 100 crisps per can. We know that the null hypothesis always contains equality and alternative hypothesis is contrary to the null hypothesis. Thus, the alternative hypothesis would be that the average number of crisps are less than 100 per can. So, the formed hypothesis are
Null hypothesis: The average number of crisps per can of Pringles is 100.
Alternative hypothesis: The average number of crisps per can of Pringles is less than 100.