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masya89 [10]
3 years ago
15

X3+2x=110

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0
x^3+2x=110 \\  \\ test:4.5 \\ (4.5)^3+2(4.5)=110 \\ 91.125+9=110 \\ 100.125=110 \\ false \\  \\ test:4.75 \\ (4.75)^3+2(4.75)=110 \\ 107.17+9.5=110 \\ 116.67=110 \\ false \\  \\ test:4.6 \\ (4.6)^3+2(4.6)=110 \\ 97.33+9.2=110 \\ 106.53=110 \\ false \\  \\ test:4.65 \\ (4.65)^3+2(4.65)=110 \\ 100.7+9.3=110 \\ 110=110 \\ true \\  \\ solution:4.65
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The revenue​ (in millions of​ dollars) from the sale of x units at a home supply outlet is given by ​R(x)equals=0.210.21x. The p
Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

A)

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

B)

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

0.21x - 0.124x = 1.1

0.086x = 1.1

x = 1.1/0.086

x = 12.79 which is approximately 13 units

4 0
3 years ago
If two lines are perpendicular, which statement must be true? A.The slopes of the two lines are equal. B.The slopes of the two l
dangina [55]

Answer:

Option D is correct that is The Slopes of two lines are negative reciprocals.

Step-by-step explanation:

Perpendicular lines are the lines which intersect each other at right angle or make 90° angle with each other.

we that the Slope of perpendicular lines are equal to -1

Therefore, Option D is correct that is The Slopes of two lines are negative reciprocals.

5 0
3 years ago
Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.
Dmitry [639]
Note that
\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}

Note that
x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }

Use the identity
tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

Therefore
tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} =  \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )}  = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}

Answer: 2 + √3
8 0
3 years ago
If three friends posted 15 comments each, how many comments will there be overall?
soldi70 [24.7K]
15 times 3 equals  45 hoped i helped

4 0
3 years ago
Read 2 more answers
D=f+ fx<br> solve for x
Zepler [3.9K]

Answer:

X = d/f - 1

Step-by-step explanation:

You would Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps

3 0
3 years ago
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