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Art [367]
3 years ago
15

Solve these equations:y= -2x-4y= 3x+1​

Mathematics
2 answers:
ELEN [110]3 years ago
5 0

Answer:

       (-1, -2)

x = -1          y = -2

Step-by-step explanation:

y= -2x-4

y= 3x+1​

Substitution:

3x + 1​ = -2x - 4

5x + 1 = -4

5x = -5

x = -5 ÷ 5

x = -1

y= 3x+1

y= 3(-1)+1​​

y = -3 + 1

y = -2

Liono4ka [1.6K]3 years ago
3 0
For the first one x=-2
For the second one x= -1/3
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Identify the asymptotes and state the end behavior of the function f(x)=5x/x-25
AnnyKZ [126]

Using it's concepts, it is found that for the function f(x) = \frac{5x}{x - 25}:

  • The vertical asymptote of the function is x = 25.
  • The horizontal asymptote is y = 5. Hence the end behavior is that y \rightarrow 5 when x \rightarrow \infty.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. They also give the end behavior of a function.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}

For the vertical asymptote, it is given by:

x - 25 = 0 -> x = 25.

The horizontal asymptote is given by:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = 5

More can be learned about asymptotes at brainly.com/question/16948935

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8 0
2 years ago
Teh slope between two points is calculated by finding the change in y-values and dividing by the change in x-values. for example
Nimfa-mama [501]
Hi there!

The change of y-values is
- 15 - 22 = - 37
The change of x-values is
7 - - 8 = 7 + 8 = 15

Therefore, the slope of this line is
\frac{ - 37}{15}  =  - 2 \frac{7}{15}

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=55%20%5Cfrac%7B6%7D%7B9%3F%7D%20%20%5Ctimes%2066%20%5Cfrac%7B5%7D%7B6%7D%20" id="TexFormula1"
JulsSmile [24]

Answer:

Step-by-step explanation:

If you can present a problem in Latex, you can do anything. I don't know what the question mark is for. I'm just ignoring it.

55 2/3 * 66 5/6

One of the ways to get the answer is to use decimals

55.666666667 * 66.833333333 = 3720.38889

Another way to do this problem is to break up one of the numbers

55 2/3 (66 + 5/6)   You can do this if you know how to use the distributive property.

55 2/3 * 66 + 55 2/3 * 5/6

( (165 + 2) / 3) * 66 + (165 + 2)/3 * 5/6

167/3 * 66 + 167 / 3 * 5/6

167 * 22 + (167 * 5 / (3 * 6)

3674 + 835 / 18

3674 + 46 7/18

3720 7/18

If none of these seem right and you have choices, please list them.  

6 0
4 years ago
Ella has a collection of vintage action figures that is worth $430. If the collection
valina [46]

The equation representing the value of the collection after 7 years is  value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4

<h3>What is an Equation ?</h3>

An equation is a mathematical statement , where the algebraic expression is equated to another algebraic expression.

It is given that

Ella has a collection of vintage action figures that is worth $430.

collection

appreciates at a rate of 4% per year

equation representing the value of the collection after 7 years is

value of collection = 430 + (0.04 * 430 )* t

value of collection = 430 + (0.04 * 430 )* 7

= $550.4

Therefore the equation representing the value of the collection after 7 years is  value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4

To know more about Equation

brainly.com/question/2263981

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4 0
2 years ago
an item is regularly sold at $40. kala bought it at a discount of 35% off the regular price. how much did kala pay
KonstantinChe [14]

To solve this problem, we must first find the discount amount, and then subtract this amount from the total price of the item.

To find the discount amount, we must find 35% of $40. To do this, we must first convert 35% to its decimal equivalent by dividing 35/100. We do this because percentages are parts out of a total 100 percent, thus this fraction represents an equivalent value that we can multiply by other numbers. Using our knowledge that 35/100 = 0.35, we can now set up our expression:

35% of $40 (keep in mind that the word "of" refers to multiplication in math)

0.35 * 40

To solve, we just multiply these two numbers together, which gives us 14.

This means that Kala got a discount of $14 off of the original price of $40. To find out how much she paid for it, we must subtract $14 from $40, as modeled below:

$40 - $14 = $26

Therefore, Kala paid $26 for the item.

Hope this helps!

5 0
4 years ago
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