1. Solve the equation.
3x – 3 = –18
(1 point)
x = –7
x = –5
x = –3
x = 5
x = –5
2. Solve the equation.
Start Fraction r over 2 End Fraction– 6 = 14 (1 point)
r = 40
r = 34
r = 20
r = 16
r = 32
2. Solve the equation.
Start Fraction r over 2 End Fraction– 6 = 14 (1 point)
r = 40
r = 34
r = 20
r = 16
r = 32
thats not one of the answers
My apologies. I made an error. The correct solution is:
r/2 - 6 = 14
r/2 = 20
r = 40
Therefore, the solution is r = 40.
3. Solve the equation.
12 + 4m = 24 (1 point)
m = 9
m = 8
m = 3
m = –6
m = 3
4. No more than 12 people can enter the haunted house every 10 minutes. Which inequality represents the situation? (1 point)
a < 12
aless than or equal to 12
a > 12
agreater than or equal to 12
aless than or equal to 12
5. Choose the graph that shows the solution of the inequality on the number line.
c < –1 (1 point)
A number line is shown. There is an open circle on the number negative 1. The number line is shaded to the left of negative 1.
A number line is shown. There is an open circle on the number negative 1. The number line is shaded to the right of negative 1.
A number line is shown. There is a closed circle on the number negative 1. The number line is shaded to the left of negative 1.
A number line is shown. There is a closed circle on the number negative 1. The number line is shaded to the right of negative 1.
A number line is shown. There is an open circle on the number negative 1. The number line is shaded to the left of negative 1.
6. Which inequality represents the solution shown on the graph?
A number line is shown with a solid blue dot drawn on negative 60 and a blue ray pointing to the right of negative 60. (1 point)
–60 less than or equal to m
–60 < m
–60 > m
–60 greater than or equal to m
-60 < m
. Solve the inequality.
d - 6 > –4 (1 point)
d > –2
d > –10
d > 2
d > 10
d > 2
8. Solve the inequality.
5w less than or equal to 15 (1 point)
w less than or equal to 75
w less than or equal to 10
w less than or equal to 5
w less than or equal to 3
w less than or equal to 3
thank you bot
You're welcome! If you have any more questions, feel free to ask.
The points plotted on the coordinate plane below are three vertices of a rectangle.
Three points plotted on a Cartesian grid include left-parenthesis negative two point five comma two right-parenthesis, left-parenthesis one comma two right-parenthesis, left-parenthesis one comma negative one right-parenthesis.
What are the coordinates of the fourth vertex of the rectangle? (1 point)
left parenthesis negative 1 comma negative 2 point 5 right parenthesis
Left parenthesis negative 2 comma negative 2 point 5 right parenthesis
left parenthesis negative 2 point 5 comma negative 1 right parenthesis
left parenthesis negative 2 point 5 comma negative 2 right parenthesis
The coordinate of the fourth vertex of the rectangle can be found by observing that the length of the rectangle from (−2.5,2) to (1,2) is ∆x=3.5, and the width of the rectangle from (1,2) to (1,−1) is ∆y=3. Thus, the fourth vertex can be calculated as:
x-coordinate = 1 + ∆x = 1 + 3.5 = 4.5
y-coordinate = -1 - ∆y = -1 - 3 = -4
Therefore, the coordinates of the fourth vertex are (4.5, -4).