Answer:
The last one f(x)=(x+2)2+1 because two units to the right is positive and going up is also positive
There are three options which are the square roots of 100, and those are C. -10, D. 10, and F. |10|
C: (-10)^2 = -10 * -10 = 100 (- * - = +)
D: 10 * 10 = 100
F: |10| = 10, and 10 * 10 = 100 (these brackets make a negative number positive, and a positive number stays positive)
Since this is a compound interest problem, you have to take note that the amount Catherine will get per year is not the same. It will increase per year since it is compounded. So first, we get the amount after one year. This will be 7000 x 0.04 which is 280 plus 7280. In the second year, she will get 7571 (7280 x 0.04 + 7280). In the third year, she will get 7874 (7571 x 0.04 + 7571). In the fourth year, she will get 8189 (7874 x 0.04 + 7874). And finally in the fifth year, she will get 8517 (8189 x 0.04 +8189). So after five years, she has 8517
The graph of the function is a parabola.
The nose comes down as far as y=4 but no farther.
That happens when (x - 2)² = 0 , and THAT happens when x = 2 .
Answer:
Smaller number-47.5
Larger number-52.5
Step-by-step explanation:
We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation
x+x+5=100
100-5=95
2x=95
95/2=47.5
x=47.5
The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5
