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3 years ago

The system of equations graphed below has how many solutions?

Mathematics

1 answer:

Artist 52 [7]3 years ago

5 0

Answer: C) 0

The lines are parallel. They never cross. To have a solution, the lines need to intersect. Each intersection is a solution. That's why there are no solutions here. The system is inconsistent.

Note how the slopes are both 1/2 while the y intercepts are different. Parallel lines have equal slopes but different y intercepts.

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What is the solution to the system of equations?

o-na [289]

Answer:

x = -5

y = 4

Step-by-step explanation:

3x + 4y = 1 /*(-4)

4x + 5y = 0 /*3

---------------------

-12x - 16y = -4

12x + 15y = 0 +

---------------------

-y = -4

y = 4

---------------------

12x = -15y

12x = -60

x = -5

---------------------

7 0

3 years ago

Read 2 more answers

Ian often buys in large quantities. A few months ago he bought several cans of frozen orange juice for $24. The next time Ian pu

ANEK [815]

For the answer to the question above asking, w<span>hat was the price per can and the numbers of cans purchased each time?
let x be the number of cans he bought
the let us go to the 2nd statement which is t</span><span>he next time Ian purchased frozen orange juice, the price had increased by $0.10 per can and he bought 1 less can for the same total price.
The equation for this is .10(x-1) = 24
So now let's solve,
</span> .10(x-1) = 24
.10x - .10 = 24
.10x = 24+ .10
.10x = 24.10
Then divide both sides by .10
So the answer for this question is
241 cans of juice

4 0

3 years ago

The ratio of Country albums to Jazz albums in a music collection is 2:3. If the music collection has 45 albums, how many Country

Marina86 [1]

2:3. 2+3=5. So 45 divided by 5 equals 9

9x2 ( the ratio number of country music is 2)

So there are 18 country albums in the collection

4 0

3 years ago

550 is 5% of what number? Which statements are correct? Check all that apply. The answer will be smaller than 550. The answer wi

OLga [1]

Answer:

the answer is b,c,d,e

Step-by-step explanation:

4 0

3 years ago

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A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect

Vladimir79 [104]

The probability that the first two electric toothbrushes sold are defective is 0.016.

The probability of an event, say E occurring is:

$P(E)=\frac{n(E)}{N}$

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = the number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is n = 20.

The number of defective electric toothbrushes is x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

$(\left {{20} \atop {2}} \right. )$ $=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!} =\frac{20*19*18!}{2!*18!} = 190$

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

$(\left {{3} \atop {2}} \right. )$ $=\frac{3!}{2!(3-2)!} =\frac{3!}{2!1!} =\frac{3*2!}{1!2!} =3$

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

$\frac{3}{190}\\ =0.01579\\=0.016$

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

Learn more about probability here brainly.com/question/27474070

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4 0

2 years ago