4x -2y = -2
-3x + 5y =-9

Answer:

x = -2.75 and y = 1.5.

Step-by-step explanation:

To solve the system of equations 4x - 2y = -2 and -3x + 5y = -9, we can use the elimination method. This method involves adding or subtracting the equations in a way that eliminates one of the variables, leaving us with an equation in terms of the remaining variable.

First, we can add the equations together to eliminate the y variable:

(4x - 2y) + (-3x + 5y) = (-2) + (-9)

Combining like terms on the left side of the equation gives us:

x + 3y = -11

Next, we can solve for x by dividing both sides of the equation by 4 to get:

x = (-11) / 4 = -2.75

Once we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the second equation, -3x + 5y = -9, and substitute -2.75 for x:

-3(-2.75) + 5y = -9

Solving for y, we get:

y = (-9 - (-8.25)) / 5 = 1.5

Therefore, the solution to the system of equations 4x - 2y = -2 and -3x + 5y = -9 is x = -2.75 and y = 1.5.

Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work.
Which change to Natasha's survey process would make the data more reliable?

A. Ask a randomly selected sample of people who use public transportation whether their office is in the building.

B. Use a different sample size so the predicted number of workers who use public transportation is a whole number.

C. Have workers complete a written survey so there is a written record of the responses.

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A. 32
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Solve for x.
x2 - 49 = 0

A)0

B)+49

C)+49i

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mario needs to cut three book shelves from a board that is 1.8 meters long. the second shelf is 15 centimeters longer than twice the length of the first shelf . the remaining shelf is 5 centimeters longer that the first shelf. the equation below represents this situation, where x is the length of the first shelf in meters

x+(2×+0.15)+(×+0.05)=1.8

A. 0.40
B.0.45
C.0.53
D.0.96​

15
Decide whether each expression simplifies to a number less than-1, greater than 1, or
Neither
neither. Mark an X in the correct column for each expression.
Greater than 1
Less than -1
Expression
-7+ (-4)
-(3 ÷ 2)
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Recursive equation:


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