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Elena L [17]
3 years ago
9

Write an equation for the line of best fit that models the relationship between profit in thousands, p, and time in months, m. T

hen, use your equation to predict the profit the bagel shop will earn in month 12. Round slope and y-intercept to the nearest tenth.

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
This is much easier when you use a software like MS Excel. You have to list the points first. These are: (1,3), (2,2.5), (3,4), (4,5), (5,6.5), (6,5.5), (7,7), (8,6), (9,7.5), (10,7) and (11,9).

Do a scatter plot for this points and add a trend line and you obtain the equation of the line fit. The equation is p=0.6m+2.4

We use this equation to find p when m=12.

p = (0.6×12)+2.4
p = 9.6

Total profit in month 12 would be 9.6 thousand.

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F ( x ) = - x^3 + 3x^2 + 4x - 5<br> answear ?
Cerrena [4.2K]

Answer:

There are no like terms.

Step-by-step explanation:

4 0
3 years ago
gail ran 4<img src="https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B10%7D" id="TexFormula1" title="\frac{6}{10}" alt="\frac{6}{10}" ali
erastovalidia [21]
92/25=3.68 I hope this help
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%7B27%7D%5E%7B%3F%7D%20" id="TexFormula1" title=" \sqrt{3} = {27
marishachu [46]

Let the unknown be x


\sqrt{3}  = 27^x


3^\frac{1}{2}  = 3^{3x}


Both the base number are 3, so we equate the exponent:


\dfrac{1}{2}  = 3x


x = \dfrac{1}{2}  \div 3


x = \dfrac{1}{2}  \times \dfrac{1}{3}


x = \dfrac{1}{6}


Answer: 1/6


3 0
3 years ago
If you sleep an average of 7.5 hours each night, how many hours do you sleep in a year?
satela [25.4K]

Answer:

\boxed{\sf 2737.5 \ hours}

Step-by-step explanation:

The average is 7.5 hours of sleep each night.

There are 365 nights in 1 year.

\sf Multiply \ the \ value \ by \ 365.

7.5 \times 365

2737.5

5 0
3 years ago
Read 2 more answers
How do you solve for x in this quadratic equation?: 5x^2 – 34x + 24 = 0
wlad13 [49]
Quadratic formula
factoring
graphing 
completing the square
factoring by grouping
Rational Roots Theorem
synthetic division

Take a look at <span>5x^2 – 34x + 24 = 0.  The last term could have been the result of these different possible muliplications:  1*24, 2*12, 3*8, 4*6.  The leading term is 5, whose factors are 5 and 1.  Thus, possible rational roots would be
4/5 (the 4 is a factor of 24 and the 5 is a factor of 5) and 6/1 (the 6 is a factor of 24 and the 1 is a factor of 5).  

Using synth. div. to check whether 6 is actually a root:
     ___________________
6  /    5      -34          24
                  30         -24
    ------ --------------------------
         5       -4             0

since the remainder is 0, we can safely call 6 a "root."  
Note the remaining coefficients, 5 and -4:  

They correspond to the factor 5x - 4.  If we set this difference = to 0, and solve for x, we get  x = 4/5 (which is correct).

The roots of </span><span>5x^2 – 34x + 24 = 0  are  x = 4/5 and x= 6/1.</span>
5 0
3 years ago
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