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mel-nik [20]
3 years ago
8

Which of the following expressions represents the statement “One half the sum of x and y”?

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0
The answer would be b. it is asking for the sum of x and y so rule out a. then it’s asking for half of that sum so rule out c since c is one half of y
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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?
erastovalidia [21]

Answer:

x=5\ and\ y=-8

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

y=-x-3

5x+2y=9

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the y values in terms of x from the equation y=-x-3 into the other equation to solve for x

Substituting y=-x-3 into 5x+2y=9.

We have:

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

<em>Using distribution.</em>

5x-2x-6=9

<em>Combining like terms.</em>

3x-6=9

Adding 6 both sides.

3x-6+6=9+6

3x=15

Dividing both sides by 3.

\frac{3x}{3}=\frac{15}{3}

∴ x=5

<em>Plugging in x=5 into y=-x-3.</em>

We have,

y=-5-3

∴ y=-8

The solution of the system can be given as (5,-8).

4 0
3 years ago
Need answer today please
tiny-mole [99]

Answer:

Step-by-step explanation:

304

 

6 0
3 years ago
How many terms are in the expression 6w- 3x+9y- 8z+ 12​
kirill [66]

Answer:

5

Step-by-step explanation:

<u>Definition of term:</u>

        A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

                 6w- 3x+9y- 8z+ 12​

                                   \/

6w          - 3x        +9y          - 8z          + 12​

                         Hope this helps, have a nice day! :D

8 0
2 years ago
2. Your teacher tells you that a line goes through the points (-6,1) and (-4, 3). Calculate the slope
Art [367]

Answer:

m=1

Step-by-step explanation:

7 0
3 years ago
The sum of 5.75 and half a number is -5. What is the number? Please help!
barxatty [35]

Answer:

5.75 +  \frac{x}{2}  =  -  5 \\  \frac{x}{2}  =  - 5 - 5.75 \\  \frac{x}{2}  =  - 10.75 \\ x =  - 21.5

4 0
2 years ago
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