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Ratling [72]
2 years ago
11

Marcus is selling lemonade in peanuts each cup of lemonade cost $0.75 in each bag of peanuts cost $0.35 on Saturday market so 5

more cups of lemonade then bags of peanuts here in $7.05 how many cups of lemonade did Marcus sell on Saturday
Mathematics
1 answer:
Fed [463]2 years ago
7 0
Let L represent the number of cups of lemonade that Marcus sold. Then his revenue can be described by ...
   0.75L + 0.35(L -5) = 7.05
   1.10L -1.75 = 7.05 . . . . . . . . . . eliminate parentheses
   1.10L = 8.80 . . . . . . . . . . . . . . .add 1.75
   L = 8 . . . . . . . . . . . . . . . . . . . . .divide by 1.10

Marcus sold 8 cups of lemonade on Saturday.
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Answer:

The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Step-by-step explanation:

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What is the completely factored form of f(x)=x3+5x2+4x−6?
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f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
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which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
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2 years ago
If 10x + 2 = 7, what is the value of 2x?
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For this case we have the following equation:

10x + 2 = 7

From here, we clear the value of x.

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Then, we look for the value of 2x. We have then:

2x = 2 \frac {1} {2}\\2x = \frac {2} {2}\\2x = 1

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2x = 1

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masya89 [10]

Answer:

The solution in the attached figure

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The solution of the inequality A is the shaded area above the dashed line y=\frac{2}{3}x+3

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The solution of the system of inequalities is the shaded area between the shaded line and the solid line

using a graphing tool

see the attached figure

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