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3 years ago

What is the solution to the system of equations? you must show all work to recieve full credit!

1 answer:

5 0

Use the substitution method:
2x - 6y = -12
x - 2y = -8
Then x = 2y - 8
Substitute in the first equation:
2(2y - 8) - 6y = -12
4y - 16 - 6y = -12
-2y = 4
y = -2
Now substitute y in one of the two equations given you prefer:
For example x-2*(-2) = -8
x + 4 = -8
x = -12
The solutions are x = -12 and y = -2

You might be interested in

Determine whether each of these functions is O(x^2 ).

otez555 [7]

Answer:

(a) no
(b) yes
(c) no
(d) no

Step-by-step explanation:

"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.

For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.

Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.

3 0

3 years ago

Read 2 more answers

Blaine buys 2 books and the total cost is $24.18 What is the constant of proportionality that

jekas [21]

Answer:

$12.09

Step-by-step explanation:

formula; Y= kx

where; y = $24.18

x = 2 books

k = constant of proportionality

Step 1. Do the equation based on the data given

Y = kx

$24.18 = k2

Step 2. Compute the mathematical equation. Divide both sides by 2 to eliminate coefficient in the variable.

k = $ 12.09 is the constant of proportionality cost in dlooars per book

7 0

2 years ago

Teddy was having trouble fitting into his clothes due to weight gain. In January, he weighed 180 lbs 6 oz. He gained 3 lbs 9 oz,

barxatty [35]

He weighs 196 lbs and 6 ounces. if you add the pounds (180 to 3, 5, 6)you get 194. then you add he ounces, and remember that there are 16 ounces in a pound and 8 ounces in a cup, (6 to 9, 12, 11) you get 2lbs and 6 ounces. then you add the 2 extra pounds to the 194 and you get, all together, 196 lbs and 6 ounces.

7 0

3 years ago

he numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance

Naddik [55]

Answer:

Range = 13

Mean = 8.4

Variance= 21.24

Standard deviation= 4.61

Step-by-step explanation:

2, 10, 15, 3, 13, 9, 14, 7, 2, 9

For the range

Let the set of data be arranged inn ascending order

Range= higehest value- lowest value

Range = 15-2

Range= 13

For the mean

Mean = (2+2+3+7+9+9+10+13+14+15)/10

Mean = 84/10

Mean = 8.4

For variance

Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10

Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10

Variance= 212.4/10

Variance= 21.24

Standard deviation= √variance

Standard deviation= √21.24

Standard deviation= 4.609

Approximately = 4.61

6 0

3 years ago

Can you guys please help me I will give you a point

ryzh [129]

Ain't nobody got time fo dat (drawing number lines)

7 and 1/4=7+1/4

7 and 1/4-3 and 3/4=4 and 1/4-3/4 means
7+1/4-3-3/4=4+1/4-3/4 rearange
7-3+1/4-3/4=4+1/4-3/4
4-2/4=4-2/4
4-1/2=4-1/2
3 and 1/2=3 and 1/2

7 0

3 years ago