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3 years ago

Which of the following best describes the solution to the system of equations below?

Mathematics

1 answer:

OverLord2011 [107]3 years ago

3 0

Answer: OPTION A

Step-by-step explanation:

The equation of the line in slope-intercept form is:

$y=mx+b$

Where m is the slope and b the y-intercept.

Solve for y from each equation:

$\left \{ {{5y=-4x+7} \atop {10y=-8x+14}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-8}{10}x+\frac{14}{10}}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-4}{5}x+\frac{7}{5}}} \right.$

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.

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HELP URGENT STEP FUNCTIONS!!!!!!! Used books cost $2.25 each. Which expression represents the total number of books that can be

irinina [24]

Answer:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor$

Step-by-step explanation:

We are given,

The cost of one book = $2.25

Since, it takes $2.25 to buy 1 book.

The, for $10, we can get $\frac{1}{2.25}\times 10$ i.e. $\frac{10}{2.25}$ = 4.44

Since, number of books cannot be in decimals.

So, the closest integer to 4.44 is 4.

Hence, we can buy 4 books from $10.

Now, according to the options:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor = \left \lfloor 4.44\right \rfloor = 4$

B. $\left \lceil \frac{10}{2.25} \right \rceil = \left \lceil 4.44 \right \rceil=5$

C. $\frac{10}{\left \lceil 2.25\right \rceil} =\frac{10}{3} =0.33$

D. $\frac{10}{\left \lfloor 2.25\right \rfloor} = \frac{10}{2} = 5$

Hence, we see that from the options, A is correct.

3 0

3 years ago

Read 2 more answers

The perimeter of a square can represent by 16x + 24. Willa wants to write an equivalent expression for the perimeter that shows

Maslowich

The diagram shows that all the sides of the rectangle are congruent. Since the perimeter all of the sides added up, all you have to do is divide the perimeter by 4.

Therefore, the perimeter, which is 16x + 24, can be divided by 4 to find the length of one side.

16x + 24/4 = length of one side. So, the length of one side is 4x + 6.

Hope this helped!

6 0

3 years ago

How much would something cost if it was $20 but was 1/5 percent off??

QveST [7]

4$ would be the cost of the item

6 0

3 years ago

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Daniella collected 4242 bushels of peas from her garden today. Tomorrow she will send \frac{3}{7} 7 3 of the peas to market. H

Vaselesa [24]

Answer: 24

Step-by-step explanation:

Amount of bushels of peas collected = 42

Fraction that'll be sent to market = 3/7

Fraction that'll be kept = 1 - 3/7 = 7/7 - 3/7 = 4/7

The number of bushels that'll be kept will be:

= Fraction that'll be kept × Total number of bushels collected

= 4/7 × 42

= 24

7 0

3 years ago

For the set A={4}, determine n (A)

4vir4ik [10]

<span>A={4},
the group set has only one element in it

so n (A)=1

</span>

I hope that helps!

4 0

3 years ago