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4 years ago

(PLZ HELP 20pts)If the graph of function g is 6 units below the graph of function f, which could be function g? f(x)=-2x+7

Mathematics

1 answer:

defon4 years ago

6 0

Answer:

Step-by-step explanation:

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Which inequalities are true and false

Nutka1998 [239]

5×1 < 3 __ false
5×3 < 3 ___false
5×-2 <3 ___true

7 0

3 years ago

Find the equation of a line that passes through the point (0, -2) and is parallel to a line that goes through the points (4, 0)

Nikitich [7]

Answer:

y = (-3/4)x -2

or: y = -0.75x -2

Step-by-step explanation:

First, find the slope of the line that it parallel to. Using equation

slope m = (y2-y1)/(x2-x1),

slope of line that passes through points (4, 0) and (0, 3)

= (3 - 0) /( 0-4)

= -3/4

Since the lines are parallel, both of them have the same slope, which is -3/4.

The point (0, -2) is actually the point of y -intercept (c) of the new line, so we can simply use the slope-intercept form to find the equation of line.

y = mx + c

y = (-3/4)x + (-2)

y = (-3/4)x -2

3 0

3 years ago

Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)

NeTakaya

Step-by-step explanation:

15a)

$x^2+4x=21$ Subtract both sides by 21

$x^2+4x-21 =0$

15b)

7 and -3 multiply to -21 and add to 4

The factors are (x+7)(x-3)

15c)

x+7 =0

x=-7

x-3=0

x=3

7 0

3 years ago

For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

7 0

3 years ago

How would I solve this?

Taya2010 [7]

All you have to do is insert whatever they give you into <em>x. </em>So for example they give you f(2) all you do is is insert the two where x is.

7 0

3 years ago