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sesenic [268]
3 years ago
15

Alex and Shaneequa are starting a business tutoring students in math. They rent an office for $400 per month and charge $40 per

student (with one person tutoring one student). If they have 15 students each for one hour per week how much profit do they make together in four weeks.
Mathematics
1 answer:
mixas84 [53]3 years ago
3 0
Alex and Shaneequa pay $400 per month
1 student: $40
15 students: 40 x 15= $600= 1 week
600x4=$2,400= four weeks
$2,400-$400=$2000
Answer= $2000
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Answer:

Part 1) The exact solutions are

(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})   and  (\frac{-1-\sqrt{21}} {2},4-\sqrt{21})

Part 2) (1.79, 8.58)

Step-by-step explanation:

we have

y=x^{2} +3x ----> equation A

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we know that

When solving the system of equations by graphing, the solution of the system is the intersection points both graphs

<em>Find the exact solutions of the system</em>

equate equation A and equation B

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The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

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in this problem we have

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x_2=\frac{-1-\sqrt{21}} {2}

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<em>First solution</em>

For x_1=\frac{-1+\sqrt{21}} {2}

y=2(\frac{-1+\sqrt{21}} {2})+5

y=-1+\sqrt{21}+5\\\\y=4+\sqrt{21}

The first solution is the point (\frac{-1+\sqrt{21}} {2},4+\sqrt{21})

<em>Second solution</em>

For x_2=\frac{-1-\sqrt{21}} {2}

y=2(\frac{-1-\sqrt{21}} {2})+5

y=-1-\sqrt{21}+5\\\\y=4-\sqrt{21}

The second solution is the point (\frac{-1-\sqrt{21}} {2},4-\sqrt{21})

Round to the nearest hundredth

<em>First solution </em>

(\frac{-1+\sqrt{21}} {2},4+\sqrt{21}) -----> (1.79,8.58)

(\frac{-1-\sqrt{21}} {2},4-\sqrt{21}) -----> (-2.79,-0.58)

see the attached figure to better understand the problem

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