All categories

3 years ago

Systems of linear equations iready quiz

Mathematics

1 answer:

saw5 [17]3 years ago

7 0

Answer:

<h2>One solution.</h2>

Step-by-step explanation:

The given question is

<em>Does the following system have One Solution, No Solution, or Infinite Solutions. </em>

<em />

To solve this system, we just need to multiply the first equation by -1, and then sum those equations.

$-y = -4x - 8\\y = -5x + 3$

$0=-9x-5\\5=-9x\\x=-\frac{5}{9}$

Then, we use this value to find the other one

$y=4x+8\\y=4(-\frac{5}{9} )+8\\y=-\frac{20}{9}+8\\y =\frac{-20+72}{9} \\y=\frac{52}{9}$

As you can observe, the system of equations have a unique solution.

Therefore, the answer is one solution.

You might be interested in

Scott is on his school's academic team. On average, it takes Scott 4 minutes, with a standard deviation of 0.25 minutes, to solv

uysha [10]

Answer:

15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4 minutes

Standard Deviation, σ = 0.25 minutes

We standardize the given data.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(more than 4.25 minutes to solve a problem)

$P( x > 4.25) = P( z > \displaystyle\frac{4.25 - 4}{0.25}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 4.25) = 1 - 0.8413 = 0.1587 = 15.87\%$

Thus,15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

8 0

2 years ago

Solve the two-step equation 14=31.7-3x

ch4aika [34]

Answer: X = 5.9

Step-by-step explanation:

5 0

2 years ago

PLEASE HELP ME WITH THIS AND EXPLAIN :)

PSYCHO15rus [73]

So first, you need to find the y intercept and slope of the line/function.
then, you just plug it in to y=mx+b form
this one would be:
slope of -5/4
y intercept: 2
so it would be y=-5/4+2

3 0

2 years ago

Solution set of 3x - ( 2x + 8 )= -6

Hunter-Best [27]

3x - (2x + 8) = -6
3x -2x - 8 = -6
x - 8 = -6
x - 8 + 8 = -6 + 8
x = 2

6 0

3 years ago

What does this image show? A) How to add. B) Information about exponential notation. C) Bow to multiply and divide. Will Mark Br

xeze [42]

Answer:

B) Information about exponential notation

Step-by-step explanation:

The information on the page is about exponential notation, therefore option (B) is the most suitable.

6 0

1 year ago