The total cost f(x), in dollars, for renting a bowling lane for x hours is shown:
f(x) = 2x + 12
What does f(14) represent?
The number of dollars it costs to rent the bowling lane for 14 hours
The number of games you can bowl for a cost of $14
The number of games you can bowl in 14 hours
The number of hours the bowling lane can be rented for a cost of $14
f(14) represents the number of dollars it costs to rent the bowling lane for 14 hours.
The equation 4(2x + 1) = 6x − 12 models the change in water level in a lake in one month. Solve for x, which is change in height in inches.
x equals negative thirteen halves
x = −8
x = 8
x equals eleven halves
To solve the equation 4(2x + 1) = 6x - 12, we can distribute 4 to both terms inside the parentheses:
8x + 4 = 6x - 12
Next, we can subtract 6x from both sides to get rid of the x term on the right side:
8x - 6x + 4 = -12
Combining like terms, we have:
2x + 4 = -12
Next, we can subtract 4 from both sides:
2x = -16
Finally, to solve for x, we can divide both sides by 2:
x = -8
Therefore, the solution is x = -8, which represents the change in height in inches.
An equation is shown:
−np − 3 = 7(c − 4)
Which of the following solves for n?
n = the quantity 7 times c minus 31 all over negative p
n = the quantity 7 times c minus 25 all over negative p
n = the quantity 7 times c minus 3 all over p
n = the quantity 7 times c minus 13 all over p
To solve for n in the equation −np − 3 = 7(c − 4), we need to isolate n on one side of the equation.
- np - 3 = 7(c - 4)
First, we can distribute the -p to both terms inside the parentheses:
- np - 3 = 7c - 28
Next, we can move the constant term, -3, to the other side of the equation:
- np = 7c - 28 + 3
Simplifying the right side:
- np = 7c - 25
To solve for n, we can divide both sides of the equation by -p:
n = (7c - 25) / -p
Therefore, n = the quantity 7 times c minus 25 all over negative p solves for n.
An equation is shown:
−np − 3 = 7(c − 4)
Which of the following solves for n?
n = the quantity 7 times c minus 31 all over negative p
n = the quantity 7 times c minus 25 all over negative p
n = the quantity 7 times c minus 31 all over p
n = the quantity 7 times c minus 25 all over p
To solve for n in the equation −np − 3 = 7(c − 4), we need to isolate n on one side of the equation.
- np - 3 = 7(c - 4)
First, we can distribute the -p to both terms inside the parentheses:
- np - 3 = 7c - 28
Next, we can move the constant term, -3, to the other side of the equation:
- np = 7c - 28 + 3
Simplifying the right side:
- np = 7c - 25
To solve for n, we can divide both sides of the equation by -p:
n = (7c - 25) / -p
Therefore, n = the quantity 7 times c minus 25 all over negative p solves for n.
Solve for x: 3x − 2 > 5x + 10.
x > 6
x < 6
x < −6
x > −6
To solve the inequality 3x − 2 > 5x + 10, we can start by simplifying both sides of the equation.
First, let's subtract 3x from both sides:
-2 > 2x + 10
Next, we can subtract 10 from both sides:
-12 > 2x
To isolate x, we can divide bothsides by 2. However, since we are dividing by a negative number, the inequality sign must be flipped:
x < -6
Therefore, the solution to the inequality 3x − 2 > 5x + 10 is x < -6.
The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 60 people.
graph of y equals 2 times x plus 40 with x axis labeled Number of People and y axis labeled Amount of Money