Answer:
-5 - h
Step-by-step explanation:
ƒ(x) = 1 + 5x - x²
[f(5 + h) -f(5)]/h
= [1 + 5(5 + h) - (5 + h)² - 1 - 5(5) +5²]/h
= (25 + 5h - 25 - 10h - h² - 25 + 25)/h
= (-5h - h²)/h
= -5 - h
The difference quotient is -5 - h.
Answer:
-7
Step-by-step explanation:
you divide both sides by -2 and 14/-2 is equal to -7
Answer:
LP = 18
Step-by-step explanation:
Given that,
In ΔLPN,
LQ = 6, LM = 11 and MN = 22
We need to find the length of LP.
As QM ║PN, let QP = x
LP = 6+x
= 6+ 12
= 18
Hence, the length of LP is 18.
Answer:
Recipe for a cup of lentils = 6 scoops
Recipes for a salad = 12 scoops
Step-by-step explanation:
Hannah is cooking enough lentils for lentil soup and a lentil salad. The soup recipe calls for ¾ cup of lentils. The salad recipe calls for 1 ½ cups of lentils. But Hannah only has a ⅛ measuring scoop.
How many scoops of lentils will Hannah need for both recipes?
a) Recipe for a cup of lentils
The soup recipe calls for ¾ cup of lentils.
Hannah only has a ⅛ measuring scoop.
Hence,
3/4 ÷ 1/8
= 3/4 × 8/1
= 6 scoops
Recipes for a salad
The salad recipe calls for 1 ½ cups of lentils.
Hannah only has a ⅛ measuring scoop.
Hence,
1 1/2 ÷ 1/8
= 3/2 ÷ 1/8
= 3/2 × 8/1
= 12 scoops
The outlier is the piece of data that does not fit the general data set. In this case, 46 is much higher than all of the other numbers. This is the outlier.
