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lianna [129]
2 years ago
11

Lisa bought some books. She spent a total of $45 after a discount of $6 off of her total purchase. Each book cost $3. How many b

ooks did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
Х
5
?
(b) Solve the equation in part (a) to find the number of books.
b=0
Mathematics
1 answer:
elena55 [62]2 years ago
8 0

Answer:

She spent 17 books  

Equation: 45+6 = 51 and 51/3 = 17 books

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Suppose f is a function and f(1) = 3. In addition suppose that, as x goes from 1 to 4, the average rate of change of f is – 6. I
Jobisdone [24]

Answer:

f(4) = -15

Step-by-step explanation:

Since we have an average rate of change, we can deduce that a line, with a gradient of -6 joins the points on the function, f, when the parameter is 1 and when it is 4, i.e. the line passes through the point (1, 3) and has a gradient of -6;

From this, we know that for every value of x we increase the, value y will decrease by 6;

So if we increase 1 by 3, to get to 4, the y value must decrease by 18 (3×6);

Written mathematically, it would look like:

f(4) = 3 + (4 - 1)(-6)

= 3 - 18

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3 years ago
The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in
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Answer:

Area swept by the blade = 448in^{2}

Step-by-step explanation:

The arc the wiper wipes is for 135 degrees angle.

So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.

Then subtract the area of sector with 14 inches  from area of sector with radius as 24 inches.

So, area of sector with r=24 in =\frac{135}{360} *\pi  *24^{2}

Simplify it,

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Now, let's find area of sector with radius 14 inches

Area of sector with r=14 in = \frac{135}{360} *\pi  *14^{2}

Simplify it

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So, area swept by the blade = 216\pi -73.5\pi

Simplify it and use pi as 3.14.....

Area of swept =678.584 - 230.907

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Round to nearest whole number

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Answer: 35 degrees.

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