Answer:
4^3
Step-by-step explanation:
When you are multiplying exponents with the same base (for this problem the base is 4) you add together the exponents. It is kinda hard to explain but that is just a rule you can use. So, 4^(5+(-2))=4^3
I got 23 u might want to check it tho
Answer:
Simplest function is f(x) = 2x - 1
Step-by-step explanation:
When a function has a zero, simply put, that point is where the graph goes through the x-axis. At this point, the y value is 0.
If a function has a 0 of 1/2, that translates to x = 1/2 and also (1/2, 0). That means that y = 0 when x = 1/2.
If x = 1/2 and is a zero, then x - 1/2 = 0 and 2x - 1 = 0 (notice that y = 0 here and solving for x would get you right back to x = 1/2).
The simplest function with a zero of 1/2 is
f(x) = 2x - 1
You know it is true that the zero is 1/2 for two reasons. First one is to set the right side equal to 0 and solve for x.
The second one is to graph the line y = 2x - 1 and see that it goes through the x axis at 1/2 where y = 0.
Answer:
x = 8
x = 21/14
x = 8
x = 15/21
x = 1/4
x = 7
Step-by-step explanation:
(For all instances of number, let it be x)
Double the sum of a number and 15. The result is the same as the product of 23 and the number.
2x + 15 = 23 + x
2x - x + 15 = 23 + x - x
x + 15 = 23
x + 15 - 15 = 23 - 15
x = 8
Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.
15x + 2 = 23 + x
14x + 2 = 23
14x = 21
x = 21/14
Double a number and add 15. The result is the same as the sum of 23 and the number.
2x + 15 = 23 + x
x + 15 = 23
x = 8
Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)
2x + 15 = 23x
15 = 21x
x = 15/21
Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.
15x + 2 = 23x
2 = 8x
2/8 = x
x = 1/4
Double the sum of a number and 15. The result is the same as the sum of 23 and the number.
2(x + 15) = 23 + x
2x + 30 = 23 + x
x + 30 = 23
x = 7
