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Masja [62]
3 years ago
7

Find the solutions to the system:

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:

x = 3 - y\\  {(3 - y)}^{2}  +  {y}^{2}  = 9 \\  \\ y = 0 \:  \: x =  3 \\ y = 3  \:  \:  \: x = 0\\  \\  \\ b \: is \: corret \: answer

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The ratio of boys to girls is 3:4 and the ratio of girls to adults is 5:7 what is the ratio of children to adults
Ilya [14]

Answer:

the ratio is 12:7 but im not 100% sure

6 0
3 years ago
What are the roots of the polynomial equation x3-7x=6x-12?
Ilia_Sergeevich [38]
This is not a polynomial equation unless one of those is squared.  As it stands x=-.833.  If you can tell me which is squared I can help solve the polynomial.

Ok, that is usually notated as x^3 to be clear.   I'll solve it now.

x^3-13x-12=0

Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1

Then you have x^2-x-12 now you complete the square.

Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:

The x-term coefficient = −1

The half of the x-term coefficient = −1/2

After squaring we have (−1/2)2=1/4

When we add 1/4 to both sides we have:

x2−x+1/4=12+1/4

STEP 3: Simplify right side

x2−x+1/4=49/4

STEP 4: Write the perfect square on the left.

<span>(x−1/2)2=<span>49/4
</span></span>

STEP 5: Take the square root of both sides.

x−1/2=±√49/4

STEP 6: Solve for x.

<span>x=1/2±</span>√49/4

that is,

<span>x1=−3</span>

<span>x2=4</span>

<span>and the one from before </span>

<span>x=-1</span>

7 0
3 years ago
Read 2 more answers
An element with mass 330 grams decays by 25. 5% per minute. How much of the element is remaining after 5 minutes, to the nearest
yaroslaw [1]

The amount of mass after 5 minutes is 75.74 grams.

It is given that

The amount initially = 330grams

After every minute mass decays by 25.5%

<h3>What is the percentage?</h3>

The percentage is the value per hundred.

Amount after 1 min = 330-330*25.5/100 = 245.85grams

Amount after 2 min = 245.85-245.85*25.5/100 = 183.16grams

Amount after 3min = 183.16-183.16*25.5/100 = 136.45grams

Amount after 4 min = 136.45-136.45*25.5/100= 101.66grams

Amount after 5 min =101.66-101.66*25.5/100 = 75.74grams

Therefore, the amount of mass after 5 minutes is 75.74 grams.

To get more about percentage visit:

brainly.com/question/24304697

7 0
2 years ago
In Carolina's class, 6 of the
rjkz [21]
Carolina s class has 6 people with freckles 15 of them have red hair
3 0
3 years ago
You need 550 mL of a 50% alcohol solution. On hand, you have a 55% alcohol mixture. How much of the 55% alcohol mixture and pure
vitfil [10]

We need 500 ml of alcohol mixture and 50 ml of water.

<u>Step-by-step explanation:</u>

The 50% concentration of the final solution is a result of mixing the 55% concentration with water, which is 0% concentration.  Multiply the concentration of each liquid times the # of ml you will use, add these and divide by the total ml to get 50%

x = the number of ml of the 55% alcohol mixture

y = the number of ml of water  

x + y = 550  

\frac{{0.55 x + (0) y }}{550} =0.50

Again, the 0 above represents the water which is 0% concentration

\frac{0.55 x}{550} = 0.50

0.55 x = 275

x = \frac{275}{0.55} = 500

plug 500 into the equation x + y = 550

500 + y = 550

y = 50

Use 500 ml of the 55% solution and 50 ml of water.

5 0
3 years ago
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