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Crazy boy [7]
3 years ago
7

Solve for x and y by substitution 2x+5y=7 -2x+4y=15

Mathematics
1 answer:
dusya [7]3 years ago
7 0
I first found x using the second equation :

-2x+4y=15
-2x = -4y+15
x =2y-7.5

Then, I substituted this value into the OTHER equation :

2x+5y=7
2(2y-7.5)+5y=7
4y-15+5y=7
9y=22
y=2.444

So you have you y value. Now, input this value into any one of the other equations (it doesn't matter which) to find x.

-2x+4y=15
-2x+4(2.444)=15
-2x+9.776=15
-2x=5.224
x=-2.612.

So the solution for this system of functions is (-2.612, 2.444).
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djverab [1.8K]

Answer:

The correct answer is:

0.01$ (c)

Step-by-step explanation:

Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:

s = \sqrt{\frac{\sum(x - \bar x)}{n} } \\where:\\x = sample\ \\\bar x\ = mean\\n\ = number\ of\ samples\

Variance is a measure of the squared differences from the mean.

Variance is simply the square of the standard deviation. It is mathematically shown as:

s^2 = \frac{\sum(x - \bar x)}{n} }

Now in our example,

Stabnard deviation = $0.10

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6 0
3 years ago
First estimate the answer. Then divide to get the exact answer. 3 5/7 divided by 5
tia_tia [17]
 estimate:   0.8

actual:        0.74285714285


5 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x2 + 2x + 7 = 21 The numbe
Zolol [24]

Answer:

(a) 1

(b) 1

(c) 3.03

Step-by-step explanation:

The given quadratic equation is

Subtract 27 from both sides.

Taking out common factor.

Divide both sides by 4.

If an expression is , then we need to add , to make it perfect square.

Here, b=2, so

Add 1 on both sides.

Taking square root on both sides.

Subtract 1 from both sides.

and

and

Only one solution is positive.

Greatest solution is 3.031, therefore the approximate value of this solution is 3.03.

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Determine the value(s) of k such that the system of linear equations has the indicated number of solutions. (Enter your answers
Ratling [72]

Answer:

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Step-by-step explanation:

The given system of equations are

9x+ky=24

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\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

Using this we get

\dfrac{9}{k}=\dfrac{k}{1}=\dfrac{-24}{-8}

\dfrac{9}{k}=\dfrac{k}{1}=3

\dfrac{k}{1}=3

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Therefore, the value of k is 3.

8 0
3 years ago
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