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:
Your Answer is E. 10x-35
Step-by-step explanation:
Factor 10x−35
10x−35
=5(2x−7)
Answer:
5(2x−7)
Answer:
1/4
Step-by-step explanation:
Andrew found a pan of brownies with 3/4 of the brownies left. He ate 1/3 of what was left. What portion of the whole brownies did he eat?
The size of the brownies Andre ate =
1/3 of 3/4
= 1/3 × 3/4
= 1/4
Therefore, the portion of the whole brownies that Andre ate was 1/4
Answer:
Height of fir tree = 9 meters
height of pine tree= 12 meters
Step-by-step explanation:
The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree

Subtract x from both sides

height of 4 fir trees = pine tree +24

Substitute 21-x or y in the above equation

Add x on both sides

Divide by 5 on both sides
x=9
Now plug in 9 for x and find out y


y=12
Height of fir tree = 9 meters
height of pine tree= 12 meters
Answer:
The correct option is B
Step-by-step explanation:
Given information: ∠F=32°,∠D=54° and DF=18m.
According to the angle sum property of triangle, the sum interior angles of a triangle is 180°.
Using angle sum property, we get





Law of sine:

Using law of sine we get




Cross multiply,

Divide both sides by 0.99756405026.


The value of EF is 14.6 m. Therefore the correct option is B.