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3 years ago

Raul is helping to make dinner for his family. To make a sauce for the chicken, he will use 1/3 cup of broth per serving of

Mathematics

1 answer:

MariettaO [177]3 years ago

8 0

Answer:

Step-by-step explanation:

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3 years ago

FInd the consumer and producer surplus where p=.00625x^3+100 is the demand function and p=.025x^2+40 is the supply function

iVinArrow [24]

Step-by-step explanation:

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4 years ago

Fill in the missing numbers in these equations

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4 years ago

Given that 2^x = 7, find the value of 4^x-1.

Helga [31]

$4=2^2\\\\4^x=(2^2)^x=(2^x)^2=7^2=49\\\\4^x-1=49-1=48$

$If\ is\ 4^{x-1},\ then\\\\4^{x-1}=\dfrac{4^x}{4}=\dfrac{49}{4}=12\frac{1}{4}$

$Used:\\\dfrac{a^n}{a^m}=a^{n-m}$

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3 years ago

Write an equation of the line that passes through each pair of point y=mx+b

jarptica [38.1K]

$y=-\frac{2}{3}x+4$

Explanation

Step 1

find the slope

when yo know 2 points of a lines, P1 and P2, you can find the slope by using:

$\begin{gathered} \text{slope}=\frac{change\text{ in y}}{\text{change in x}}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}$

then, let

P1(6,0)

P2(0,4)

replace

$\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ slope=\frac{4-0}{0-6}=\frac{4}{-6}=-\frac{2}{3} \end{gathered}$

Step 2

find the equation of the line,

$\begin{gathered} y-y_1=slope(x-x_1) \\ \text{replace} \\ y-0=-\frac{2}{3}(x-6) \\ y=-\frac{2}{3}x+\frac{12}{3} \\ y=-\frac{2}{3}x+4 \end{gathered}$

so , the equation of the lines is

$y=-\frac{2}{3}x+4$

where -2/3 is the slope, and 4 is the y-intercept

I hope this helps you

4 0

1 year ago