3. 5 • 3n (1 point)
15, 30, 45, 60
5, 15, 45, 135 ***
0, 15, 45, 135
15, 45, 135, 405
4. Use the function rule ƒ(x) = x • |–1|x. Find the output ƒ(2). (1 point)
4
3
–2 ***
2
To solve problem 3, we need to evaluate the expression 5 • 3n. To do this, we substitute the value of n in the expression and simplify.
The expression 5 • 3n means 5 multiplied by 3n. So, whatever value of n we have, we multiply it by 3 and then by 5.
In this case, we are given a few answer options:
- 15, 30, 45, 60
- 5, 15, 45, 135
- 0, 15, 45, 135
- 15, 45, 135, 405
To find the correct answer, we substitute n into the expression and check if the resulting values match any of the answer options.
Let's substitute n = 1 into the expression 5 • 3n:
5 • 3(1) = 5 • 3 = 15
So, the expression evaluates to 15.
Checking the answer options, we find that 15 is present in the option:
5, 15, 45, 135
Therefore, the correct answer for problem 3 is:
5, 15, 45, 135
Now let's move on to problem 4.
Problem 4 requires us to use the given function rule ƒ(x) = x • |–1|x to find the output ƒ(2). In the function, we substitute x = 2 and evaluate.
First, substitute x = 2 into the expression:
ƒ(2) = 2 • |–1|2
Now, evaluate the absolute value of -1, which is 1:
ƒ(2) = 2 • |–1|2 = 2 • 1 • 2 = 4
Therefore, the output ƒ(2) is 4.
So, the correct answer for problem 4 is:
4
6. Do the data in the table represent a linear function? If so, write a rule for the function.
x –2 –1 0 1 2
y –7 1 8 17 25
(1 point)
yes; y = 8x + 9
yes; y = 8x + 8
yes; y = one eighthx + 8
no ***
as shown, the table does indeed not represent a linear function.
If the 8 was a typo and you meant 9, then y = 8x+9
i still do npt get what the correct answers are for this,math isn't my specialty
i only got 2
Sorry. #1 was correct for 5*3^n
try using 3^n instead of 3n, which looks like multiplication.
|-1| = 1, so
f(2) = 2*1*2 = 4
If you actually meant (-1)^x, then
f(2) = 2*(-1)^2 = 2*1 = 2