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Julli [10]
3 years ago
6

A smoothie comes in three sizes - small, medium, and large, with five flavors - strawberry, banana,

Mathematics
2 answers:
Ganezh [65]3 years ago
8 0

Hey there! I'm happy to help!

We have three choices for sizes...

And five choices for flavors.

If you choose small, there are 5 smoothies you can make.

With medium, there are also five.

Same with large!

This gives us 15 possible smoothies.

Have a wonderful day! :D

VARVARA [1.3K]3 years ago
3 0

Answer:

A. 15

Step-by-step explanation:

The fundamental counting principle states if there is<em> a</em> outcomes/options and <em>b</em> outcomes/options, the total number of outcomes is a*b.

a * b

There are 3 sizes: small, medium and large

There are 5 flavors: strawberry, banana, orange, blueberry, and watermelon.  

Therefore, we can say that <em>a</em> is 3 (sizes) and <em>b</em> is 5 (flavors).

3 * 5

15

Here is another way to think about it.

You can order a small smoothie five different ways, a medium five different ways, and a large five different ways.

5+5+5=15

Therefore, there are 15 total outcomes and A is correct.

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Find an equation of the parabola y = ax2 + bx + c that passes through (0, 1) and is tangent to the line y = 4x − 4 at (1, 0).
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We are given the following:
          - parabola passes to both (1,0) and (0,1) 
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<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>

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<span>We take the derivative of the  equation ,
y = ax^2 + bx + 1</span>
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<span>x = 1, y' = 2
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6 0
3 years ago
BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.
agasfer [191]

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is (\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2}), where (x_1, y_1) and (x_2 , y_2) are points. In this case, the point C has the values of (x_1, y_1), and B has the values of (x_2 , y_2)

We know that coordinates of M equal (\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})

In other words,

\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6

Let's plug 2 for x_1 and 10 for y_1

So:

\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6

Multiply both sides by 2

{2 + x_2} = 12\\{10+ y_2} =12

Subtract 2 from both sides in the first equation to find the value of x_2:

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Now, for the second equation, subtract 10 from both sides to find the value of y_2

y_2=2

Now substitute these values for (x_2, y_2)

(x_2, y_2)=(10,2)

So the coordinates of point B are (10, 2)

Hope this helps!

3 0
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