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3 years ago

6

Using the graph below, what is the best estimate of month 7's average temperature if the equation for the line of best fit is y

= -13x + 111?

2 answers:

Shtirlitz [24]3 years ago

8 0

Answer:

The estimated average temperature for 7 month is 20 °F.

Step-by-step explanation:

The given graph shows the relation between number of months and average temperature.

The equation for the line of best fit is

$y=-13x+111$

Where, x is number of months and y is average temperature(°F).

We need to find the average temperature for 7 month.

Substitute x=7 in the given equation of best fit line.

$y=-13(7)+111$

$y=-91+111$

$y=20$

Therefore the estimated average temperature for 7 month is 20 °F.

defon3 years ago

5 0

Substitute x to be 7 (for month 7) and work out the equation:

y = -13(7) + 111

y = -91 + 111

y = 20

Your answer is 20 degrees Fahrenheit.

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3 years ago

17x-3y=4 2x-4y=1 the solution to the system of equations is

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ANSWER

$x=\frac{13}{62}$

and

$y= \frac{-9}{62}$ e have

EXPLANATION

$17x-3y=4---(1)$

$2x-4y=1$

Let us make y the subject and call it equation (2)

$2x=1+4y$

$x=\frac{1}{2}+2y--(2)$

We put equation (2) in to equation (1)

$17(\frac{1}{2}+2y)-3y=4$

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$34y-3y=4- \frac{17}{2}$

Simplify to get,

$31y= \frac{8-17}{2}$

$31y= \frac{-9}{2}$

Divide both sides by 31,

$y= \frac{-9}{2} \div 31$

$y= \frac{-9}{2} \times \frac{1}{31}$

$y= \frac{-9}{62}$

We put this value in to equation (2) to get,

$x=\frac{1}{2}+2\times -\frac{9}{62}$

$x=\frac{1}{2} -\frac{18}{62}$

We collect LCM to obtain,

$x=\frac{31-18}{62}$

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