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3 years ago

Systems of equation substitution 2x+4y=24 x=4y

Mathematics

1 answer:

antoniya [11.8K]3 years ago

5 0

Answer:

(x, y) = (8, 2)

Step-by-step explanation:

substitute x = 4y into the other equation

2(4y) + 4y = 24

8y + 4y = 24

12y = 24 ( divide both sides by 12 )

y = 2

substitute y = 2 into x = 4y

x = 4 × 2 = 8

solution is (8, 2 )

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PLEASE HELP ASAP!!!!!

Rashid [163]

mike charges 100 dollars service charge plus 65 dollars per hour.

amy charges 40 dollars service charge plus 80 dollars per hour.

the cost to repair from mike is 100 + 65 * x.

the cost to repair from amy is 40 + 80 * x.

let x = 3 and you get:

the cost to repair from mike is 100 + 65 * 3 = 295 dollars.

the cost to repaid from amy is 40 + 80 * 3 = 280 dollars.

as long as the time to repair is 3 hours or less, the cost to repair will be cheaper from amy.

4 0

3 years ago

Is (2, 2) a solution of y < 4x - 6?<br> Choose 1 answer<br> yes or no

zalisa [80]

No, (2,2) is not solution of y < 4x - 6

Step-by-step explanation:

To solve above linear problem, we use standard method of Back- Substitution.

First of all, A point (2,2) only becomes solution of equation, if it satisfies equation $y < 4x - 6$ .

Here, the $y < 4x - 6$ seems to be like a linear equation.

In this Equation, using Back- Substitution method,

Point (2,2) : first digit 2 corresponds to x- coordinate and second digit 2 corresponds to y-coordinate.

$y < 4x - 6.....(1) \\\ x= 2 .....(2) \\\ y= 2 .....(3)$

By putting value of x and y in equation (1),

Equation becomes,

$2 < 4 \times 2 - 6$

$2 < 8 - 6$

$2 < 2$ .... not true mathematically.

Finally, the result came is not true. Therefore, (2,2) is not solution for equation

$y < 4x - 6$

4 0

3 years ago

You have 4 one-dollar bills and 4 five-dollar bills in your piggy bank. You select two bills at random, with replacement. What i

Mkey [24]

The probability that one would have selected 2 five-dollar bills is; 1/4.

<h3>What is the probability you will have selected 2 five-dollar bills?</h3>

It follows from the task content that the piggy bank contains; 4 one-dollar bills and 4 five-dollar bills to make a total of 8 bills.

Hence, provided the probability events are carried out with replacement, the probability to have selected 2 five-dollar bills is;

= 4/8 × 4/8

= 1/4.

Read more on probability;

brainly.com/question/24756209

#SPJ1

5 0

2 years ago

The price of Philip's favorite candy has been reduced by $0.15 per piece. Philip buys 14 pieces and spends $3.22.

kompoz [17]

3.22 divided by 14 is .23. .23 plus .15 is .38 cents per candy at regular price.

6 0

3 years ago

Read 2 more answers

Write 9− 16x⁴ as the product of two factors.

Marysya12 [62]

Answer:

The two factors will be $=(3+4x^2)\ and\ (3-4x^2)$

Step-by-step explanation:

We have given the equation $9-16x^4$

We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

As $9-16x^4$ can be written as $3^2-(4x^2)^2$ , as square of 3 is 9 and square of $4x^2$ is $16x^4$

So $9-16x^4=3^2-(4x^2)^=(3+4x^2)(3-4x^2)$

So the two factors will be $=(3+4x^2)\ and\ (3-4x^2)$

6 0

3 years ago