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blondinia [14]
3 years ago
12

PLEASEEE HELP 25 points

Mathematics
1 answer:
Oksana_A [137]3 years ago
6 0

Answer:

slope= 1/10x and the slope represents the increase of the rental cost after x miles driven.

Step-by-step explanation:

i hope this helps :)

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Oksi-84 [34.3K]
Would it be 5 ? i’m sorry i’m not very sure.
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3 years ago
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A case of Scout cookies has 10 cartons. A carton has 12 boxes. The amount you earn on a whole case is 10(12x) dollars.
Katen [24]

Simplified expression: 120x dollars

Step-by-step explanation:

Given,

Number of cartons in case of Scout cookies = 10 cartons

Number of boxes in carton of Scout cookies = 12 boxes

Amount earned on whole case = 10(12x)  dollars

To simplify the expression, we will multiply 10 by 12x

Amount earned on whole case = 120x dollars

Simplified expression: 120x dollars

Keywords: multiplication, variable

Learn more about multiplication at:

  • brainly.com/question/10480770
  • brainly.com/question/10546617

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3 years ago
Rebecca and Tracy are cutting strips of fabric to make a quilt. Each strip of fabric needs to be 1/3 of a foot long. They have 1
Deffense [45]

48 strips of fabric.

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3 years ago
Solve for x. Round your answer to the nearest hundredth.<br> 15.56x - 200 &lt; 758.92
jasenka [17]

Answer: x<61.63

Step-by-step explanation: Add 200 to both sides, giving you 15.56x<958.92 .

Than divide by 15.56 giving you x< x<61.627249

Round to the nearest hundredth giving you x<61.63

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Sketch the domain D bounded by y = x^2, y = (1/2)x^2, and y=6x. Use a change of variables with the map x = uv, y = u^2 (for u ?
cluponka [151]

Under the given transformation, the Jacobian and its determinant are

\begin{cases}x=uv\\y=u^2\end{cases}\implies J=\begin{bmatrix}v&u\\2u&0\end{bmatrix}\implies|\det J|=2u^2

so that

\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\iint_{D'}\frac{2u^2}{u^2}\,\mathrm du\,\mathrm dv=2\iint_{D'}\mathrm du\,\mathrm dv

where D' is the region D transformed into the u-v plane. The remaining integral is the twice the area of D'.

Now, the integral over D is

\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\left\{\int_0^6\int_{x^2/2}^{x^2}+\int_6^{12}\int_{x^2/2}^{6x}\right\}\frac{\mathrm dx\,\mathrm dy}y

but through the given transformation, the boundary of D' is the set of equations,

\begin{array}{l}y=x^2\implies u^2=u^2v^2\implies v^2=1\implies v=\pm1\\y=\frac{x^2}2\implies u^2=\frac{u^2v^2}2\implies v^2=2\implies v=\pm\sqrt2\\y=6x\implies u^2=6uv\implies u=6v\end{array}

We require that u>0, and the last equation tells us that we would also need v>0. This means 1\le v\le\sqrt2 and 0, so that the integral over D' is

\displaystyle2\iint_{D'}\mathrm du\,\mathrm dv=2\int_1^{\sqrt2}\int_0^{6v}\mathrm du\,\mathrm dv=\boxed6

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3 years ago
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