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d1i1m1o1n [39]
3 years ago
8

John is making himself a lunch. He has three different soups to choose from, four different kinds of pop, and three different ki

nds of fruit. How many different lunches can he prepare today
Mathematics
1 answer:
wariber [46]3 years ago
7 0
For this problem, we use the Fundamental Counting Principle where it states that if an event has n possible outcome and another independent event has m outcomes then there will be nm total possible outcome. Therefore, there are 3x4x3 = 36 possible different lunch John can make.
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6×11÷2what do you think it could be
Valentin [98]
6x11÷2
6 x 11 is 66
66 ÷ 2 is 33
The answer is 33
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3 years ago
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♦HURRY PLEASE!!! ♦<br><br> ↓<br> Don't worry about the answer choice that is highlighted : )
givi [52]

Answer:

B: {(3,1), (7,9)}

Step-by-step explanation:

For equation 2x-y=5, we can isolate y, so it's easier to solve later:

y = 2x - 5

y = (x - 4)^2

Now, notice that both equations are equal to y, so we can set them equal to each other:

(x-4)^2 = 2x-5

x^2-8x+16 = 2x - 5

x^2-10x+21=0

Now, we can factorize by finding 2 numbers that multiply to 21 and add up to -10:

(x-3)(x-7)=0

x=3 or x=7

Since B is the only one with the x values of 3 and 7, the answer must be B.

But to further check our answer, we can plug x back to any of the equations above to check for y:

(3-4)^2 = 1

(7-4)^2 = 9

Therefore, we can confirm that the answer is B.

7 0
3 years ago
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Jerome is planning a fundraiser.
PilotLPTM [1.2K]

Answer:132

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3 years ago
A passenger car weighs 4.5 times 10 Superscript 3 units. Which unit of measure was used?
Pepsi [2]
20? I’m not for sure maybe look in the book? That’s the answer I got and it was right
5 1
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What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negati
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A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex

This is also called vertex form because the vertex (h,k) is grouped according to their variable.
 
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

The final equation is 
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6 0
3 years ago
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