All categories

3 years ago

Which statements are true regarding the system of equations? Check all that apply.

Mathematics

1 answer:

Alinara [238K]3 years ago

3 0

Answer:

The lines are parallel.
The slopes are equal.
The y-intercepts are different.
The system has no solution.

Step-by-step explanation:

If the first equation is multiplied by 1.5, it will be transformed into the dependent equation

12x +15y = 45

This is different from the second given equation, so that 2nd equation is not dependent upon the first. Rather it is the equation of a line parallel to the first. (See below for a graph.)

The lines are parallel.

The slopes are equal.

The y-intercepts are different.

The system has no solution.

You might be interested in

The amount, A, in milligrams, of radioactive material remaining in a container can be modeled by the exponential function A(t) =

lisov135 [29]

Answer: 4 years

Step-by-step explanation:

A(0) has to be amount at start. Assume that's 5mg

Then A(t) = 5×(0.5)^(0.25t) = 5×2^(-t/4),

(also known as 5 exp(-λ t) with λ = ln(2)/4, incidentally).

We need to such that A(t) = 2.5mg, or 2^(-t/4) is 1/2, which happens when -t/4 is -1, or t is 4.

4 0

4 years ago

What is 7 divided by 18

Aleks04 [339]

7 ÷ 18 is 0.38888888888

6 0

4 years ago

Read 2 more answers

X + 3y = −4 x + 5y = −6

lesya [120]

For this case we must solve the following system of equations:

$x + 3y = -4\\x + 5y = -6$

We clear x of both equations:

$x = -4-3y\\x = -6-5y$

We match:

$-4-3y = -6-5y\\-3y + 5y = -6 + 4\\2y = -2\\y = \frac {-2} {2}\\y = -1$

We find the value of "x":

$x = -4-3 (-1)\\x = -4 + 3\\x = -1$

Thus, the solution of the system is:

$(x, y): (- 1, -1)$

Answer:

$(x, y): (- 1, -1)$

5 0

3 years ago

Allison lives 380 miles from her grandmother. She plans to drive to her grandmother's house for the weekend. She will drive an a

Alisiya [41]

Answer:

its b

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP QUICK<br> graph and show work and i will give 30 points

Natasha_Volkova [10]

The equation is
4x-2y=-2
4x=2y-2
4x+2=2y
2x+1=y

8 0

3 years ago