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UkoKoshka [18]
3 years ago
7

PLEASE HELP I HAVE 10 MINUTES LEFT

Mathematics
1 answer:
Lena [83]3 years ago
4 0

Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

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Solve 3x² + 4x = 2. (2 points)
uysha [10]

Answer:

Step-by-step explanation:

As it is a second order equation, it means that it has two possible answers and they are x_1 and x_2.

The famous quadratic formula for solving any second order equation is the following:

x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}

Where a is the coefficient of x^2, b is the coefficient of x, and c is the free term. In other words,

a = 3\\b=4\\c=-2

as the equation should be in the following form:

a x^2 + bx+c = 0

Therefore the possible answer should be the following,

\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}

by dividing the numerator and denominator by 2, we can deduce the following,

6 0
2 years ago
the area of a circle is 60 π sq.cm. find the radius of the radius of the circle to the nearest tenth step-by-step
Svetradugi [14.3K]

Answer:

r = 7.7

Step-by-step explanation:

A = πr²

60π = πr²

r² = 60π/π

r² = 60

\sqrt{r^2} =\sqrt{60}

r = 7.746

Rounded to tenths:

7.7

6 0
3 years ago
30% of a number is x. What is 100% of the number? Assume x&gt;0.<br> 100% of the number is
STatiana [176]

Answer:

10x/3

Step-by-step explanation:

30% is to x as 100% is to y

We are looking for y in terms of x.

30/x = 100/y

30y = 100x

y = 100x/30

y = 10x/3

6 0
2 years ago
What is the interquartile range for the data set 4,7,7,3,5,2,6,7,9 the answers are 3.5, 5.6, 7,9
polet [3.4K]
5.6 is the answer for your question
5 0
2 years ago
Which is greater 6.789 or 67.890?
Vlada [557]
67.890, because 67 is greater than 6
3 0
3 years ago
Read 2 more answers
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