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3 years ago

-7p = -3p - 8 p = Help

Mathematics

2 answers:

jeka943 years ago

6 0

Answer:

p=2

Step-by-step explanation:

-7p = -3p - 8

Add 3p to each side

-7p+3p = -3p+3p - 8

-4p = -8

Divide each side by -4

-4p/-4 = -8/-4

p = 2

pentagon [3]3 years ago

6 0

Answer:

$\huge{ \fbox{ \sf{p = 2}}}$

Step-by-step explanation:

$\bigstar{ \sf{ \: - 7p = - 3p - 8}}$

$\underline{ \underline{ \mathfrak{Let's \: solve}}} :$

$\text{Step \: 1} : \sf{Move \: 3p \: to \: left \: hand \: side \: and \: change \: it's \: sign}$

$\mapsto{ \sf{ - 7p + 3p = - 8}}$

$\text{Step \: 2} : \sf{Collect \: like \: terms}$

$\sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base}$

$\mapsto{ \sf{ - 4p = - 8}}$

$\text{Step \: 3} : \sf{Divide \: both \: sides \: by \: - 4}$

$\mapsto{ \sf{ \frac{ - 4p}{ - 4} = \frac{ - 8}{ - 4}}}$

$\text{Step \: 4} : \sf{Calculate}$

$\mapsto{ \sf{p = 2}}$

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

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The way to find the domain and the range is illustrated below.

<h3>How to illustrate the information?</h3>

From the information, c(x) = 200 - 7x + 0.345x². It should be noted that the domain is the set of x-values that are feasible.

The range is the set of possible results for c(x). They are the possible costs. You can derive this from the fact that c(x) is a parabola and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape.

You can substitute some values for x to help you, for example:

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If the functions do not have real roots, then the costs never decrease to 0. The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes from 164.5 to infinity, limited to the solution for x = positive integers.

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