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sesenic [268]
3 years ago
5

1) Functions A, B and C are all linear functions ofx. Rank the rates of change and the y-intercepts of all three from smallest t

o largest. Function A Function B y = .5x. 0.55 X 0 1 2 3 у -1.25 0.5 0.25 1 1.75 Function C Rates of change in order smallest to largest : 3- + Y-intercepts in order smallest to largest: -1 -3​

Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

Step-by-step explanation:

<u><em>slope = rate of change</em></u>

y = mx + b ( "m" is slope, "b" is y-intercept)

( x_{1} , y_{1} )

( x_{2} , y_{2} )

m = \frac{rise}{run} = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

~~~~~~~~~~~~~~~

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What is the equation in point slope form of a line that passes through the point (−8, 2) and has a slope of 12 ? Drag a number,
NemiM [27]
Point-slope form:

y − b = m(x − a<span>), where m is the slope and (a, b) is a point on the graph.

Here that would look like:

y - 2 = 12(x - (-8))
y - 2 = 12(x + 8)

The answer:
</span>y - 2 = 12(x + 8)

Hope this helps.
5 0
4 years ago
Question 5
Darina [25.2K]

Answer:

the answer is 12.24 .

Step-by-step explanation:

that answer is right is because when you add of those you get 530 , then you divide by how many numbers there are which is 7 , which equals to 75.7 . when you get that number ( 75.7) you subtract that number to 65,90,85,70,70,95, and 55 . when you get the total of all of those you add those . which is 10.7, 14.3 , 9.3 , 5.7 , 5.7 , 19.3 , and 20.7 . from adding those you get 85.7. you divide by 7 and get 12.24 . hope this helps :) .

8 0
2 years ago
How many solutions does the system of equations have?<br> 0<br> 1<br> 3<br> 4
myrzilka [38]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Y is directly proportional to square root of x<br> If y=56 when x=49 find,<br> y when x=81
STALIN [3.7K]

\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{\begin{array}{llll} \textit{"y" directly}\\ \textit{proportional to }\sqrt{x} \end{array}}{y = k\sqrt{x}}\qquad \textit{we know that} \begin{cases} y = 56\\ x = 49 \end{cases}\implies 56=k\sqrt{49} \\\\\\ 56=7k\implies \cfrac{56}{7}=k\implies 8=k~\hfill \boxed{y=8\sqrt{x}} \\\\\\ \textit{when x = 81, what is "y"?}\hfill y=8\sqrt{81}\implies y=8(9)\implies y=72

7 0
2 years ago
Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.
Elden [556K]

Answer:

The answer is "cirtical\  points \ (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})"

Step-by-step explanation:

Given:

g(x) = (x-e)^3e^{-(x-e)}

Find critical points:

g(x) = (x-e)^3e^{(e-x)}

differentiate the value with respect of x:

\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r}  \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3]

critical points g'(x)=0

\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3

So,

The critical points of (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})

7 0
3 years ago
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