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3 years ago

Which graph represents this system? 2x-5y=-5 Y=2/5x+1

Mathematics

2 answers:

zhenek [66]3 years ago

7 0

both equations line up

Rom4ik [11]3 years ago

4 0

Answer:

The given system is formed these equations

$2x-5y=-5$

$y=\frac{2}{5}x+1$

If you pay careful attention to this system, you would see that both equations represent the same thing, but they are just written in different ways. To demonstrate this, let's isolate $y$ in the first equation

$2x-5y=-5\\-5y=-5-2x\\y=\frac{-5-2x}{-5}\\y=1+\frac{2}{5}x$

Which is the same than $y=\frac{2}{5}x+1$ . But, what does it mean this?

It means that the graph must show one line over the other one, or you can see it as the same single line, because both equation are just the same. This also means that the system has infinite solutions.

The image attached shows the behaviour described.

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In order to estimate the average electric usage per month, a sample of 81 houses was selected and the electric usage was determi

lana [24]

Answer:

Confidence interval: (1760,1956)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 81

Sample mean =

$\bar{x} = 1858 \text{ kWh}$

Population standard deviation =

$\sigma = 450 \text{ kilowatt-hours}$

Confidence Level = 95%

Significance level = 5% = 0.05

Confidence interval:

$\bar{x} \pm z_{critical}\displaystyle\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

$1858 \pm 1.96(\displaystyle\frac{450}{\sqrt{81}} ) = 1858 \pm 98 = (1760,1956)$

6 0

3 years ago

Solve the system by using the inverse of the coefficient matrix. -3x + 9y = 9 3x + 2y = 13 Group of answer choices

kirill [66]

Answer:

x= 3

y=2

Step-by-step explanation:

-3x + 9y = 9 ----------- equation 1

3x + 2y = 13--------------- equation 2

In Matrix Form

$\left[\begin{array}{cc}-3&9\\3&2\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}9\\13\end{array}\right]$

Let A = $\left[\begin{array}{cc}-3&9\\3&2\end{array}\right]$ X = $\left[\begin{array}{c}x\\y\end{array}\right]$ and B = $\left[\begin{array}{c}9\\13\end{array}\right]$

Then Mathematically AX= B

or X= A⁻¹ B

Where A⁻¹ = Adjacent A/ mod of A

Adjacent A = $\left[\begin{array}{cc}2&-9\\-3&-3\end{array}\right]$

Mod Of A= -6 - (27) = -33 which is not equal to zero

so Putting These values in the given formula

X= 1/-33 $\left[\begin{array}{cc}2&-9\\-3&-3\end{array}\right]$ $\left[\begin{array}{c}9\\13\end{array}\right]$

Now Multiplying Rows and Columns

$\left[\begin{array}{c}x\\y\end{array}\right]$ = -1/33 $\left[\begin{array}{cc}2*9+- 9*13\\-3*9 +- 3*13\end{array}\right]$

Solving the Matrix we get

$\left[\begin{array}{c}x\\y\end{array}\right]$ = -1/33 $\left[\begin{array}{cc}18-117\\-27-39\\\end{array}\right]$

$\left[\begin{array}{c}x\\y\end{array}\right]$ = -1/33 $\left[\begin{array}{cc}-99\\-66\end{array}\right]$

From Here we find x= 99/33 or 3

and y = 66/33= 2

4 0

3 years ago

Which are the solutions of the quadratic equation x^2=-5x-3

frutty [35]

The correct answer would be $\frac{-5 +/- \sqrt{13} }{2}$

In order to solve for this you must first get the equation equal to 0.

<span>x^2=-5x-3 ----> add 5x to both sides.
x^2 + 5x = -3 ----> add 3 to both sides.
x^2 + 5x + 3 = 0

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c.

a = 1 (because it is the coefficient to x^2)
b = 5</span> (because it is the coefficient to x)
c = 3 (because it is the end number)

Now we can plug these values into the quadratic equation.

$\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}$

$\frac{-5 +/- \sqrt{5^{2} - 4(3)(1) } }{2(1)}$

$\frac{-5 +/- \sqrt{13} }{2}$

And those would be your two answers.

5 0

3 years ago

Pls give direct answer I've been stuck forever

kondaur [170]

Answer:

3 feet

Step-by-step explanation:

36 ft²/6 = 6 ft² in pantry

area = l x w

6 = X × 2

x = 3 ft

3 0

3 years ago

In 2 months mica spent a total of 305.43 on groceries she spent 213.20 in the first month how much did she spend in the second m

Aleksandr-060686 [28]

Answer:

$92.23

Step-by-step explanation:

If she spent 213.20 in the first month and Mica's total only counts for two months, then you can subtract 213.20 from 305.43 to see how much she spent in the second month.

305.43 - 213.20 = 92.23

8 0

3 years ago