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Doss [256]
3 years ago
9

In Greg's hat, he has $1$ yellow, $2$ red, and $3$ green tokens. One red token is equivalent to $7$ yellow tokens. One yellow to

ken is equivalent to $3$ green tokens. Greg converts all of his tokens to green tokens. How many green tokens does he have?
Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

20 greens

Step-by-step explanation:

2 (7) = 14

1 (3) = 3

14 + 3 + 3 = 20 greens

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Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing? (–∞, –3) (–∞, 2) (–3, ∞) (
SOVA2 [1]

Answer:

(–∞, –3)

Step-by-step explanation:

The function f(x) = 2(x + 3) ^ 2 +2 is a quadratic function of order 2 and positive coefficient.

This is in the form of the function y = x^2, but it is displaced 3 units to the left of the x axis and two units up in the y axis. type of functions are decreasing from -∞ to its vertex and then they are increasing from the vertex to infinity.

Observe in the attached graph that this function has its vertex in the point (-3, 2) and is decreasing from -∞ to x = -3. Then it is increasing until ∞. Therefore the correct option is:

(-∞, -3)

4 0
3 years ago
Read 2 more answers
The local pet store surveyed 50 people about pets. Eleven of these people owned dogs, 13 owned cats, and 6 owned fish. One perso
siniylev [52]

Answer:   29

Step-by-step explanation:

Let S denotes the total number of people surveyed, A denotes the event of having dog , B denotes the event of having cats and C denotes the event of having fish.

Given :     n(S)=50  ;n(A)=11  ;  n(B) =13  and  n(C)=6

Also, n(A∩B)=5 ;  n(A∩C) = 2 and n(B∩C)=3 and n(A∩B∩C)=1

We know that,

n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A \cap B)-n(A \cap C)-n(B \cap C)-n(A \cap B\cap C)\\\\=11+13+6-5-2-3+1=21

Now, the number of people owned none of these pets :-

n(S)-n(A\cup B\cup C)\\\\=50-21=29

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7 0
3 years ago
Three cylinders have a height of 8 cm. Cylinder 1 has a radius of 1 cm. Cylinder 2 has a radius of 2 cm. Cylinder 3 has a radius
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Answer:

Step-by-step explanation:

The volume formula for a cylinder is B*h

B : the area of the base

h : the height

Cylinder 1

The volume is 8pi

Cylinder 2

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Cylinder 3

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6 0
3 years ago
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The hypotenuse of right triangle ABC is represented by segment AB, as shown on the graph.
icang [17]
Point C can be located on points (-3,2)
8 0
3 years ago
Read 2 more answers
Can someone help me with this
cestrela7 [59]

2. The graph moves up 4 units. (See the blue line in the graph below.)

The domain is unchanged. (The function is still defined for all x.)

The range went from [0, ∞) to [4, ∞), since 4 was added to the minimum value.

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