Select all the coefficients in the expression below
−
7
�
−
3
�
+
4
−7x−3x+4
-7x
-7
-3
4
The coefficients in the expression are:
-7
-3
4
In the linear expression
2
�
+
9
2x+9
the 9 is a __________. Select all that apply.
variable
coefficient
term
constant
factor
The 9 in the expression 2x + 9 is a:
- Constant
- Term
Solve for x: 2x + 6 = 14
x = 8
x = -4
x = 4
x = 10
To solve for x in the equation 2x + 6 = 14, we can follow these steps:
1. Subtract 6 from both sides of the equation: 2x + 6 - 6 = 14 - 6
Simplifying this gives us: 2x = 8
2. Divide both sides of the equation by 2 to isolate x: (2x)/2 = 8/2
Simplifying this gives us: x = 4
So, the solution to the equation is x = 4.
John has a golf score of 140. Each time he plays, the score decreases by 4. Which of the following sequences can represent this situation?
{140, 136, 132, 128...}
{140, 144, 148, 152...}
{4, 8, 12, 16...}
{4, 0, -4, -8...}
The correct sequence that represents John's decreasing golf score of 140, where the score decreases by 4 each time, is:
{140, 136, 132, 128...}
The population of a country triples each year. Select the recursive rule that represents this situation.
�
�
=
�
(
�
−
1
)
+
1.3
a
n
=a
(n−1)
+1.3
�
�
=
�
(
�
−
1
)
⋅
1.3
a
n
=a
(n−1)
⋅1.3
�
�
=
�
�
−
1
)
+
3
a
n
=a
n−1)
+3
�
�
=
�
�
−
1
)
⋅
3
a
n
=a
n−1)
⋅3
The correct recursive rule that represents the situation where the population of a country triples each year is:
a
n
=a
(n−1)
⋅3
It costs $150 per hour to rent a boat. Write a function to represent this situation where x represents the number of hours the boat is rented.
f(x)=
The function that represents the situation where it costs $150 per hour to rent a boat is:
f(x) = 150x
In this function, x represents the number of hours the boat is rented, and the product of 150 and x represents the total cost of renting the boat for x hours.
For each value Bini inputs into an algebraic relation, he gets exactly one output. Bini's relation is a function.
True
False
True
Aly has a relation with a domain of (0, 1, 2, 3) and a range of (3, 6, 9, 12). Her relation is not a function.
True
False
1
14.
The function
ℎ
(
�
)
=
−
16
�
2
+
80
�
h(x)=−16x
2
+80x
represents the height of a rocket in feet, h(x), after x seconds. The rocket's height, in fee, after 3 seconds is feet.
1
15.
Given the function
�
(
�
)
=
5
�
−
10
f(x)=5x−10
find the following
f(6)=
f(7)=
f(10)=
Drag and drop the correct choice into the blank spaces above
False
14. The rocket's height, in feet, after 3 seconds is:
h(3) = -16(3)^2 + 80(3)
15. Given the function:
f(x) = 5x - 10
find the following:
f(6) =
f(7) =
f(10) =
Unfortunately, you did not provide any options to choose from. Please provide the options or specific values for f(6), f(7), and f(10) so I can assist you further.
1
18.
The following table shows the total earnings y for x hours Mindi works. How much does Mindi make per hour?
To determine how much Mindi makes per hour, we need to divide the total earnings (y) by the number of hours worked (x).
However, you have not provided the table or the specific values for the total earnings and hours worked. Please provide the necessary information so I can assist you further.