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3 years ago

5

y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6 x = –4 What is the s

olution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)

2 answers:

tatiyna3 years ago

8 0

Answer: (-4,-8)

Step-by-step explanation: I got a 100% on the quiz

cricket20 [7]3 years ago

7 0

Answer:

-4,-8

Step-by-step explanation:

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Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 630 miles on 15 gallons

Ne4ueva [31]

Answer:

2,100 miles

Step-by-step explanation:

<u>Step 1-</u> Find the miles the car can travel per gallon

630 miles/ 15 gallons=42 miles per gallon

<u>Step 2-</u> Multiply the miles per gallon by the number of gallons being used

42x50=2,100 miles

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2 years ago

State the domain of the following relation by clicking on the symbols to make the given answer correct.

alekssr [168]

Answer:

{x: x ∈ ℝ, x ≥ 0}

Step-by-step explanation:

The relation is only defined for non-negative values of x, so that is what the domain consists of: real numbers greater than or equal to zero.

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2 years ago

Please Someone Help me, and do not spam. 15 points for answer and you will be brainliest if you include steps on how to do it!

frosja888 [35]

I hope this helps you

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2 years ago

Read 2 more answers

On a certain hot summer's day, 643 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for

lilavasa [31]

249 children and 394 adults swam at the public pool.

Step-by-step explanation:

Number of people swam at pool = 643

Receipts = $1161.50

Cost for one child = $1.50

Cost for one adult = $2.00

Let,

x be the number of children

y be the number of adults

According to given statement;

x+y=643 Eqn 1

1.50x+2.00y = 1161.50 Eqn 2

Multiplying Eqn 1 by 2

$2(x+y=643)\\2x+2y=1286\ \ \ Eqn\ 3\\$

Subtracting Eqn 2 from Eqn 3

$(2x+2y)-(1.50x+2.00y)=1286-1161.50\\2x+2y-1.50x-2.00y=124.50\\0.5x=124.50$

Dividing both sides by 0.5

$\frac{0.5x}{0.5}=\frac{124.50}{0.5}\\x=249$

Putting x=249 in Eqn 1

$249+y=643\\y=643-249\\y=394$

249 children and 394 adults swam at the public pool.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

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2 years ago

Match the system of equations on the left with the number of solutions on the right

erastova [34]

Answer:

top to bottom, the answers are b, c, a

Step-by-step explanation:

One way to find the solution to a system of equations is to substitute values in. For the first one,

y=2x+3

y=2x+5,

we can substitute 2x+3 =y into the second equation to get

y=2x+5

2x+3 = 2x+5

subtract 2x from both sides

3 = 5

As 3 is not equal to 5, this is never equal and therefore has no solution

For the second one,

y= 2x+7

y = (-2/3)x + 10

We can plug y=2x+7 into the second equation to get

2x + 7 = y = (-2/3)x + 10

2x + 7 = (-2/3)x + 10

add (2/3)x to both sides to make all x values on one side

2x + (2/3)x + 7 = 10

subtract 7 from both sides to make only x values on one side and only constants on the other

2x + (2/3)x = 3

(6/3)x + (2/3)x = 3

(8/3)x = 3

multiply both sides by 3 to remove a denominator

8x = 9

divide both sides by 8 to isolate x

x=9/8

There is only one value for when the equations are equal, so this has one solution

For the third one

y = x-5

2y = 2x - 10

Plug x-5 = y into the second equation

2 * y= 2*(x-5)

2 * (x-5) = 2x - 10

2x-10 = 2x-10

add 10 to both sides

2x=2x

As 2x is always equal to 2x, no matter what x is, there are infinitely many solutions for this system

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3 years ago