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2 years ago

We want to solve the following system of equations using the substitution method.

1 answer:

5 0

In the second equation you are given what Y equals, which is (-5x - 3). You would use this equation and plug it into the y value given in the first equation where it says 2y and solve

That would be

3x - 2(-5x - 3) = -6
3x + 10x + 6 = -6
3x + 10x = -6 - 6
13x = -12
X = -12/13

Then if you want to solve for Y you can use any equation and plug in the x-value found.

I’m going to use equation 2.

Y = -5x - 3
Y = -5(-12/13) - 3
Y = 4.615 - 3
Y = 1.615

(-12/13, 1.615)

Therefore the x-value is -12/13 and the y-value is 1.615.

You might be interested in

A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i

s344n2d4d5 [400]

Answer:

5.3%

Step-by-step explanation:

The final probability is calculated by means of the quotient of the specific combinations and the total of total combinations

Let's start with the specific ones,

First the number of combinations of 4 of the 30 students getting a spot, i.e .:

A combinations are equal to:

nCx = n! / x! * (n-x)!

Replacing:

30C4 = 30! / (4! * 26!) = 27405

Segundo the number of combinations of the other audience members filling the other 4 (8-4) spots n = 110, 140 - 30

110C4 = 110! / (4! * 106!) = 5773185

Now the total combinations of possible 8 contestants from the audience

140C8 = 140! / (8! * 132!) = 2.98 * 10 ^ 12

Finally, the probability is equal to:

P = (30C4 * 110C4) / 140C8

replacing:

P = 27405 * 5773185 / 2.98 * 10 ^ 12

P = 0.053

Therefore the probability is 5.3%

4 0

3 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.

6 0

3 years ago

The cargo carrying part of Billy‘s truck has a length of 8.3 m a width of 3 m and a height of 4.2 m. What is the maximum volume

madam [21]

You're really just finding the volume of the cargo-carry part.

V= L x W x H

V= 8.3m x 3m x 4.2m

V= 104.58 m3 or 105 m3 (rounded)

ANSWER: The maximum volume of sand Billy's truck can carry is about 105 m3.

8 0

3 years ago

After 8 points are added to each score in a sample, the mean is found to be M= 40. What was the value for the original mean

MArishka [77]

Answer:

The value for the original mean = 32

Step-by-step explanation:

Here, we want to calculate the original value of the mean.

Let the number of samples be n

Mathematically;

mean = Total value/n

Now, we added 8 to each of values; total value added = 8 * n = 8n

Now, for the new mean of 40; we have

(Total value + 8n)/n = 40

Total value + 8n = 40n

Total value = 40n -8n

Total value = 32n

kindly recall from the beginning of the solution;

mean = Total value/n

mean = 32n/n

mean = 32

So the original value of the mean is 32

6 0

3 years ago

Compare the decimals 117.93 and 117.859.

LiRa [457]

You need to see which is more

3 0

3 years ago