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lina2011 [118]
3 years ago
7

10 points

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

Here we have two inequalities.

P is price of the gallon,we have that:

$2.40 ≤ P ≤ $2.65

C is the amount of gallons that Ricardo buys each week.

8,5 ≤ C ≤ 11

Now, with this you can find the maximum and minimum amount that he can spend on a week.

The minimum is when he buys only 8.5 gallons and the price per gallon is $2.40

Cost = 8.5*$2.40 = $20.4

The maximum cost is when he buys 11 gallons, and the price of the gallon is $2.65

Cost = 11*$2.65 = $29.15

So the amount that he spends per week in gas, S, is:

$20.4 ≤ S ≤  $29.15

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Answer:

<em>y=-5</em>

Step-by-step explanation:

<u>Equation of the line</u>

Lines can be expressed in several forms. The slope-intercept form of the line is:

y = mx + b

Where m is the slope of the line and m is the y-intercept.

If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:

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To find the value of b, just substitute the given point:

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Step-by-step explanation:

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B. Determine the values of a and b so that f is continuous.<br><br> Please help!
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Answer:

following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

\lim_{x\to 2}+f(x) = \lim_{x\to 2}+ (ax^2-bx+3) = 4a-2b+3\\\\ \to  4a-2b+3 = 4\\\\  \therefore \ \ 4a-2b = 1\\\\

The one-sided limits of F(x) at x = 3 must be equivalent for f(x) to be continuous at x = 3.

\to \lim_{x\to 3}- f(x) = \lim_{x\to 3}- (ax^2-bx+3) = 9a-3b+3\\\\ \to \lim_{x\to 3}+ f(x) = \lim_{x\to 3}+ (2x-a+b) = 6-a+b\\\\  

So,

\to 9a-3b+3 = 6-a+b\\\\\therefore\\ \to 10a -4b = 3

\to 4a - 2b = 1......(a)\\\to 10a - 4b = 3.......(b)\\

In equation a multiply the by -2 and then add in the equation b:

\to -8a + 4b = -2\\\to 10a - 4b = 3\\ \to 2a = 1\\\\ \to   a = \frac{1}{2}\\\\ \to \ 4(\frac{1}{2}) - 2b = 1\\\\ \to 2 - 2b = 1\\\\ \to   -2b = -1\\\\ \to b = \frac{1}{2}  

So, the value of a \ and \ b= \frac{1}{2}

4 0
3 years ago
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