A bag has 2 yellow cubes, 3 blue cubes and 1 white cube. The answer is 1/6.

1 answer:

8 0

In total the bag has 6 cubes and 1 means the white cube you are pulling out from the bag so there is 1/6 chance of getting a white cube.

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describe the transformations that occur from the parent function f(x) =x^2 to the function g(x)=2(x+1)^2-7

irinina [24]

translate 7 units down. One to the left. The quadratic function stretches vertically by a factor of 2.

Step-by-step explanation:

There are many factors that play transformations in quadratic functions.

Let me give you some rules to help you with transformations.

We know that the standard form for a quad function is y= ax^2+bx+c.

We can write that in vertex form.

The formula is y=a(x-h)^2+k.

a, h, and k can contribute to factors on the graph.

Let's start with a.

When a is greater than 1, the graph stretches vertically, or it is just a stretch.

If a is less than 1 but greater than 0, the graph shrinks or compresses.

A also determines if you have a maximum or minimum as well as if the graph opens up or down.

With h, that plays a role with the horizontal translation.

No specific rules here, but here, the reason why it is one unit to the left and not one unit to the right is because of the formula.

remember how it is x-h. On a graph, it would be -1.

So x--1 is x+1.

Don't get fooled by this.

Vice versa as well.

With vertical translation, however, you do not need to remember anything. If it says -7 it is translated 7 units down from the parent function or y=x^2.

I hope this helps!

5 0

3 years ago

Add or subtract the following mixed numbers using the first method. Be sure your answers are in mixed number format and reduced

Paraphin [41]

We have the number here are 3 3/8 and 2 1/6
by using the first method,
multiplying 3/8 with 3/3 and 1/6 with 4/4 we get 9/24 and 4/24 so,
3 9/24 + 2 4/24 = (3+2) and (9/24 + 4/24)
when adding 3 and 2 we get 5 and adding 9/24 and 4/24 we get 13/24
so the answer is 5 and 13/24

5 0

3 years ago

A manager wants to select one group of 4 people from his 28 assistants.

Keith_Richards [23]

There are, 20475 different groups are possible if the manager wants to select one group of 4 people from his 28 assistants.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

A manager wants to select one group of 4 people from his 28 assistants.

The total number of groups possible = C(28, 4)

$= \rm \dfrac{28!}{4!(28-4)!}$