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2 years ago

X + 3y = 2 -x + 2y = 3 Can somebody help me?

1 answer:

4 0

X = -1 ; y = 1

x + 3y = 2, isolate x by subtracting 3y from both sides. Now that x is alone (because x = -3y + 2) take -3y + 2 and plug it into the second equation.

-(-3y + 2) + 2y =3 ; multiply what’s in the parenthesis by -1. It now is 3y -2 + 2y =3, add the common variables ( 3y + 2y) and you now have 5y-2=3. Move the 2 to the other side by adding it to both sides, you now have 5y=5, divide both sides by 5 and y=1.

Take any equation and plug y in for 1 to get x.

For example, (in the second equation), -x+2(1)=3, multiply 2 by 1 and you’re left with -x+2=3. Subtract 2 on both sides and you have -x=1, now divide both sides by -1 and x=-1.

You can check your work by plugging in the x and/or y values into the equations

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2. Continuous data are usually _____________________, but discrete data are usually ______________________.

Mrrafil [7]

Answer:

Measured and Counted.

Step-by-step explanation:

Continuous data are usually “Measured”, but discrete data are usually “Counted”.

The continuous data are the data that can be measured, for example, Height of children, time in the race, length of leaf, etc. In this case, the data is taken within the range. While the discrete data is the data that can be counted. For example, the number of employees in the office, the number of students in the school, the result of rolling dice, etc. In this case, the data is a fixed number. Accordingly, the continuous data is measurable and discrete data is countable.

7 0

2 years ago

(07.09) Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car i

atroni [7]

Answer:

Answer: f[c(p)] = 0.9265p

Step-by-step explanation:

Given: Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is , where p is the original price of the car.

He also knows he has to pay 9% sale's tax on the car. The price of the car with tax is , where c is the sale price of the car.

Now, the composite function that can be used to calculate the final price of Jonah's car is given by :-

3 0

2 years ago

Read 2 more answers

2,10,18,26 find the 61st term

saw5 [17]

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

$a_{n} =a_{1} +(n-1)d$

Where $a_{1}$ is the first term, $a_{n}$ is the nth term, and $d$ is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do $10-2$ , which is $8$ , or the common difference. Since we have everything we need, it can be plugged into the equation:

$a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482$

So, the 61st term is 482.

4 0

2 years ago

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Lisa [10]

$First\ step:you\ must\ have\ the\ domain\ (D)\\x\geq0\to D:x\in[0;\ \infty)\\\\Second\ step:use\ \sqrt{a}\cdot\sqrt{a}=\left(\sqrt{a}\right)^2=a\ for\ a\geq0\\\\Solution:\\\sqrt{x}\cdot4\sqrt{x}=4(\sqrt{x})^2=\huge\boxed{4x}$

$or\ other\ method\\\\First\ step:\ use\ \sqrt{x}=x^{\frac{1}{2}}\\\\\sqrt{x}\cdot4\sqrt{x}=x^\frac{1}{2}\cdot4x^{\frac{1}{2}}\\\\Second\ step:\ use\ a^n\cdot a^m=a^{n+m}\\\\x^\frac{1}{2}\cdot4x^{\frac{1}{2}}=4\cdot x^\frac{1}{2}\cdot x^{\frac{1}{2}}=4x^{\frac{1}{2}+\frac{1}{2}}=4x^1=\huge\boxed{4x}$

7 0

2 years ago

I need help with this

kondor19780726 [428]

Answer:

124 degrees

Step-by-step explanation:

x=24 so if you plug in the value and solve it is 124 degrees

3 0

3 years ago