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4 years ago

Graph the equations to solve the system. y=2x-5 1/2y=x-5/2

Mathematics

1 answer:

Y_Kistochka [10]4 years ago

8 0

Answer:

all real numbers

Step-by-step explanation:

solution: all real numbers

these are the same equation

we can figure this our by multiplying the second equation by 2

so then it would come out to be

y=2x-5 as well

i attached the graph,

-5 is the y intercept and 2 is the slope since it is in slope intercept form

y=mx+b

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Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds an

Sergeu [11.5K]

Answer:

$Mean = 48.6364$

$s^2 = 331.8545$ -- Sample Variance

$s = 18.2169$ --- Sample Standard Deviation

Step-by-step explanation:

Given

$n = 11$

$Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45$

Solving (a): The sample mean

$Mean = \frac{\sum x}{n}$

So:

$Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}$

$Mean = \frac{535}{11}$

$Mean = 48.6364$

Solving (b): Sample variance (s^2)

This is calculated as:

$s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}$

Where:

$\bar x = 48.6364$

So:

$s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}$

$s^2 = \frac{3318.54545456}{10}$

$s^2 = 331.8545$

Solving (c): Sample Standard Deviation (s)

This is calculated as:

$s = \sqrt {s^2$

$s = \sqrt{331.8545$

$s = 18.2169$

8 0

3 years ago

Write an equation in slope-intercept form that contains the points (2, 8) and (4, 9).

ololo11 [35]

Given two points, the equation of the line in slope form can be obtained using this equation

$\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{y_{}-y_1}{x_{}-x_1}$

Now we can name the points

x1 = 2, y1 = 8

x2 = 4 , y2 =9

These coordinates can then be substituted into the equation

$\frac{9-8}{4-2}\text{ =}\frac{y\text{ - 8}}{x\text{ - 2}}$

$\begin{gathered} \frac{1}{2}\text{ = }\frac{y\text{ - 8}}{x\text{ - 2}} \\ \\ x-2\text{ = 2 (y - 8)} \\ \\ x\text{ - 2 = 2y - 16} \end{gathered}$

x - 2 + 16 = 2y

2y = x - 2 +16

2y = x + 14

Divide both sides by 2

y = x/2 + 14/2

$y\text{ = }\frac{x}{2}\text{ + 7}$

This is the equation in slope-intercept form

where the slope = 1/2

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3 years ago

Which number means four hundred seven and six hundred fifty-two thousandths?

saw5 [17]

Which number means four hundred seven and six hundred fifty-two thousandths?

answer is

407.652

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A=6 b=4 c=1/3 what is 9c

Marizza181 [45]

Answer:

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