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nevsk [136]
2 years ago
12

What is the standard form of the linear function that passes

Mathematics
1 answer:
babunello [35]2 years ago
7 0

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{-3}{-2}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4})

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2(y-1)=2\left( \cfrac{3}{2}(x-4) \right)}\implies 2y-2 = 3(x-4)\implies 2y-2=3x-12 \\\\\\ -3x+2y-2=-12\implies -3x+2y=-10\implies \stackrel{\times -1\textit{ to both sides}}{3x-2y=10}

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
Anastasy [175]

Answer: 19.4

Step-by-step explanation:

Given

Profit is given in terms of the selling price

y=-5x^2+194x-900

to get the maximum price, differentiate y w.r.t x

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Put  \frac{\mathrm{d} y}{\mathrm{d} x}=0 to get maximum value

10x=194\\x=19.4

Thus, the company must sell it at 19.4

8 0
3 years ago
An amusment park charges $35.50 for admission. On Saturday, 6,789 people visited the park. ABOUT how much money did the park ear
Fittoniya [83]
Suprisingly the answer is $280,000. This is answer because when you round 35.50 it is 40. When you round 6,789 it is 7,000. 40 times 7,000 is 280,000

~JZ

5 0
3 years ago
Read 2 more answers
Help me out the meaning
WITCHER [35]

slope intercept form:

y = mx + b

m = slope

b = y-intercept

the y-intercept is the place on the y-axis (vertical) where the line crosses. In this problem, the line crosses at (0,4), meaning the y-intercept is 4.

y = mx + 4

the slope is technically the rate of change (rise over run) bewteen points.

If you take the distance from point (-1,3) and (0,4) you get a slope of 1/1, or just 1

y = 1x +4

this could also be:

y = x + 4

(because the 1 is invisible but still there)

5 0
3 years ago
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Yuliya22 [10]
$8,750
(25000*.35)
Multiply
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3 years ago
Please help this is due and i only got the second part done
Ainat [17]

Answer:2n+13=75 n=31

8 0
3 years ago
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