Answer:
The pairs of functions that best represent the equation are f(x)=x² and g(x)=1/x
Step-by-step explanation:
For this problem, you will have to multiply each equation in the answer choices until you find the pair that has a product of x.
Let's start with the first answer choice.
(f * g)(x)
<em>f(x)=x²</em>
<em>g(x)=1/x</em>
Now, we multiply these terms together.
x² * 1/x = x²/x
Now, divide x from x². When you are dividing exponents, the exponential numbers subtract. So, since there is no exponent on x, then we assume this exponent to be 1. So, when dividing you will subtract 1 from 2.
x²/x = x
So, the answer to the problem is answer choice A. These functions multiply together to get you a final product of x.
C is your answer buddy brainliest please
There are two possible answers: 72 and 90.
We can find the answer by looking at the largest number among the three of them: 18. The only multiples of 18 between 61 and 107 are 72 and 90. We can check that both numbers are also multiples of 6 and 9:
90 : 6 = 15
90 : 9 = 10
72 : 6 = 12
72 : 9 = 8
Answer:
4116
Step-by-step explanation:
2014
12000÷10=1200 (10%)
1200x3=3600
12000-3600=8400
2015
8400÷10=840
840x3=2520
8400-2520=5880
2016
5880÷10=588
588x3=1764
5880-1764=4116
Answer:
To find the scale factor of the enlargement, compare the distance between a pair of corresponding points from both shapes.
<u>Shape K</u>
A = (4, 7)
B = (7, 7)
C = (7, 4)
D = (5, 5)
Horizontal distance between A (4, 7) and B (7, 7) = 3 units
<u>Shape L</u>
A' = (0, 11)
B' = (9, 11)
C' = (9, 2)
D' = (3, 5)
Horizontal distance between A' (0, 11) and B' (9, 11) = 9 units
9 ÷ 3 = 3
Therefore, Shape L is an enlargement of Shape K by scale factor 3.
To find the center of dilation (enlargement), draw two lines through 2 corresponding points (e.g. A and A', B and B') - the point of intersection of these lines is the center of dilation.
Therefore, the center of enlargement is (6, 5) (refer to the second attached image).
