Answer:
Each slice of bread costs $0.06.
Step-by-step explanation:
To find how much each slice of bread costs, you need to divide the cost (0.90) by how many slices there are (15). When you divide the two, you get 0.06. To check your answer you can do 0.06x15 and that will equal $0.90.
There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.
In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².
In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².
In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².
In any case, the area of the shape is 22 m².
Answer: y = 9x - 14
Step-by-step explanation:
The equation of a line is y = mx + b
We know the slope is 9 so so far the equation we have is y = 9x + b.
Since we know (1,-5) is a point on the line, we can plug in the x and y values into the equation and we get:
-5 = 1*9 + b
-5 = 9 + b
b = -14.
Therefore, the equation of the line is y = 9x - 14
Answer:
1) x≠7
2) x≠3 or -7
Step-by-step explanation:
1. The given function is
![f(x) = \frac{1}{x - 7}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B1%7D%7Bx%20-%207%7D%20)
This function is undefined if the denominator is equal to zero .
Therefore the restriction is that:
The denominator is not zero.
![x - 7 \ne0](https://tex.z-dn.net/?f=x%20-%207%20%5Cne0)
![x \ne7](https://tex.z-dn.net/?f=x%20%5Cne7)
2) Assuming the second function is
![f(x) = \frac{(x + 7)(x - 9)}{(x - 3)(x + 7)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B%28x%20%2B%207%29%28x%20-%209%29%7D%7B%28x%20-%203%29%28x%20%2B%207%29%7D%20)
This function is not defined when the denominator is zero.
This implies that:
![(x - 3)(x + 7) \ne0](https://tex.z-dn.net/?f=%28x%20-%203%29%28x%20%2B%207%29%20%5Cne0)
The restrictions are:
![x \ne3 \: or \: - 7](https://tex.z-dn.net/?f=x%20%5Cne3%20%5C%3A%20or%20%5C%3A%20%20-%207)
Which of the sets of ordered pairs represents a function? A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3),
jek_recluse [69]
Answer:
Neither A or B
Step-by-step explanation:
Hello There!
In order for a set of ordered pairs to represent a function none of the x values can repeat
In answer choice A the x value 7 repeats therefore the set of ordered pairs do not represent a function
In answer choice B the x value 7 repeats therefore the set of ordered pairs do not represent a function
so we can conclude that neither set of ordered pairs represent a function