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lara31 [8.8K]
3 years ago
7

Y=-x+5 Y=x+1 Solve the system

Mathematics
1 answer:
Elis [28]3 years ago
3 0

Answer:

y =  - x + 5 \\ y = x + 1 \\   - x + 5 = x + 1 \\  - 2x =  - 4  \\ x = 2 \\ y = 2 + 1 = 3 \\ y = 3

Therefore the answer is:

x=2; y=3

Good luck!

Intelligent Muslim,

From Uzbekistan.

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Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor
Ilya [14]

Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

M=0.4x

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

M=0.5x

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

5 0
3 years ago
The amount of rhubarb in the original recipe is 3 1/2 cups. Using what you know of whole numbers and what you know of fractions,
Alexxx [7]
The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2

You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
either way works, whatever is easiest for you.  
8 0
3 years ago
The chs baseball team was on the field and the batter popped the ball up. the equation b(x) = 80t - 16t^2 +3.5
stellarik [79]
First, you want to establish your equations.

L=7W-2
P=60

This is what we already know. To find the width, we have to plug in what we know into P=2(L+W), our equation to find perimeter.

<span>60=2(7W-2+W) </span>

<span>Now that we only have 1 variable, we can solve. </span>

First, distribute the 2.
60=14W-4+2W

Next, combine like terms.

60=16W-4

Then, add four to both sides.

64=16W

Lastly, divide both sides by 16


W=4

To find the length, we plug in our width.

7W-2

7(4)-2

28-2

<span>L=26</span>
7 0
4 years ago
Read 2 more answers
Chris is building a model out of wire. He has a length of wire that measures 9/10 of a yard. If he cuts it into 5 equal parts, t
bazaltina [42]

 

\displaystyle\\\frac{9}{10}~~\text{of a yard}~~=\frac{9}{10}~\text{yards}\\\\\frac{1}{5}~\text{from}~\frac{9}{10}~\text{yards}=\frac{1}{5}\times\frac{9}{10}=\frac{9}{50}~\text{yards each piece}



3 0
3 years ago
the tiger is can grow up to 10 4/5 feet long. express this amount as a mixed number in simplest form. please explain how you did
andreev551 [17]

I believe that the number itself is already in it's simplest form, 10 4/5. This is because you can not divide 10 4/5 by any number for it to be more reduced. Otherwise, the only way I could think of it the number written as a improper fraction which can be written as this: 54/5.

Also, may I be marked brainliest please? I need them to rank up :( Thank you for understanding

4 0
3 years ago
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