Answer:
1/4 < 3/8
Step-by-step explanation:
We need to get a common denominator to compare. We will use a common denominator of 8
1/4 *2/2 or 3/8
2/8 or 3/8
since the denominators are the same
2<3
so 1/4 < 3/8
Answer:
The 3rd statement best describes the graphs.
Step-by-step explanation:
The 3rd statement best describes the graphs because they must be similar. The two triangles cannot be congruent because Triangle A must be dilated to become Triangle B.
Multiplying by a scale factor of 1/2 would cause the shape to shrink, but multiplying by a scale factor of 2 would cause the shape to grow.
Answer:
x = 1
Step-by-step explanation:
Well the first step is to apply the distributive property:
4(3x - 1) is equal to (12x - 4). You DISTRIBUTE a '4' to what is inside the parentheses.
And btw, to make it easier, you can make 9 - x so that x is first. For example, (-x + 9). They're both the same thing, just written differently.
Your new equation is 12x - 4 = -x + 9. You want to now solve the equation.
Add the (-x) to both sides. It cancels out on the right side and you add it to 12x on the left side.
[If there's no number in front of a variable, you can always just put 1 in order to make it easier]
12x + 1x = 13x. Your new equation is 13x - 4 = 9. This should look very familiar. You simply add 4 to both sides. 9 + 4 = 13
Finally, 13x = 13. Divide 13 ÷ 13 to get 1.
x = 1
Given that the number of years should be represented with x, the number of fish in the pond after x years should best be represented with f(x). The equation that would best show the given scenario in the problem above is,
f(x) = 500(2^x)
From the given, 500 is used as the initial population of the fish.
Answer: -35+24p
Step by step in picture below
