Answer:
D. The graph of g(x) is shifted 4 units to the left.
Step-by-step explanation:
Why it is D is if you look at the -4 it isn't in a parenthesis. That automatically means it isn't going down. It isn't going up because it is a -4.
D. is your answer.
Answer is 10
Scale factor is 2.5 (30/12)
So you have to do 4 multiplied by 2.5 to get x on the bigger shape.
Answer:
c³ + cd³ + 3c²d + 3cd²
Step-by-step explanation:
(c+d)^3 is worded as <em>c plus d quantity cubed</em> which doesn't mean you cube everything inside. It means you multiply the quantity by itself 3 times.
(c+d)(c+d)(c+d)
<em>You can only multiply 2 at a time so do the first two then the result and the third one.</em>
<em>Distribute everything in one quantity to the other so </em><em>c*c = c^2 and c*d = cd</em>
= (c^2 + 2cd + d^2)(c+d)
= c^3 + c^2d + 2c^2d + 2cd^2 + cd^2 + cd^3
<em>Combine like terms</em>
= c³ + 3c²d + 3cd² + cd³
Answer:
Step-by-step explanation:
Since the candy bar is just one
Giving 1/4 of it to her younger sister make her left with 3/4 of the candy bar i.e 1 - 1/4 = 3/4
Then giving 1/3 of the left over to her elder sister it becomes 3/4 * 1/3 =1/4
Then the remaining candy bar will be 3/4 - 1/4 = 1/2
Then she will be left with 1/2 i.e half of the candy bar.
Answer:
i. 10 units (Carol's house is 10 units on the right from Ann's house)
ii. -10 units (Carol's house is 10 units on the left to Ann's house)
Step-by-step explanation:
A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).
In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.
Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.
Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.
So that,
The possible locations of Carol's house depends on its position with respect to Ann's house.
i. Carol's house = 8 + 2
= 10 units
This implies that Carol's house is 10 units on the right from Ann's house.
ii. Carol's house = - 8 - 2
= -10 units
This implies that Carol's house is 10 units on the left to Ann's house.