Simplify 571-12311-2011. (1 point) 0 -33-19 L -1119 O-9/11 -9 33

The daily profit P (in thousands of dollars) from the sale of televisions is a function of the number x of televisions sold (

scZoUnD [109]

Answer:

The break-even sales amounts is 36 or 224.

Step-by-step explanation:

Consider the provided function.

$P= -5x^2 + 13x - 4$

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts.

the break-even sales amounts is the sales amounts that result in no profit or loss.

That means substitute P=0 and solve for x.

$-5x^2 + 13x - 4=0$

$5x^2-13x+4=0$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a=4, b=-13 and c=4 in above formula.

$x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}$

$x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}$

$x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}$

$x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357$

Therefore, the break-even sales amounts is 36 or 224.

7 0

2 years ago

Please answer all I need help easy

Leokris [45]

The answer k is n divided by 6

8 0

3 years ago

Read 2 more answers

Which expression is equivalent to 5(9 + 7)? 14 + 12 14 + 7 45 + 7 45 + 35

nika2105 [10]

5(9 + 7) = 5 x 9 + 5 x 7 = 45 + 35

3 0

3 years ago

Please help solve this but don't spam

vfiekz [6]

9x-8=9x-3/2 X3
9x-8=27x-9/2
2(9x-2)=27x-9
18x-4 =27x-9
18x-27x=-9+4
-9x =-5
9x=5
X=5/9 answer

4 0

2 years ago

Students receive a 15% discount at the local movie theater. If a student pays the discounted price of $7.65, what is the origina

Over [174]

Answer:

$\large \boxed{\$9.00}$

Step-by-step explanation:

Let p = the original price of the ticket

$\begin{array}{rcl}\text{ Price before discount - discount} & = & \text{sale price}\\p - 0.15p & = & 7.65\\0.85p & = & 7.65\\p & = & \dfrac{7.65 }{0.85}\\\\& = & \mathbf{9.00}\\\end{array}\\\text{The original price of the ticket was $\large \boxed{\mathbf{\$9.00}}$}$

Check:

$\begin{array}{rcl}9.00 - 0.15(9.00) & = & 7.65\\9.00 - 1.35 & = & 7.65\\7.65 & = & 7.65\\\end{array}$

OK.

7 0

2 years ago