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Inessa [10]
2 years ago
5

You roll a die, pick a card, spin the spinner, and find the sum. How many different sums are possible?​

Mathematics
1 answer:
tangare [24]2 years ago
6 0

Answer:24

Step-by-step explanation:

You pick a one of two card, roll a 6 sided  die, spin a two sided spinner, and find the sum. How many different sums are possible? Please help

I will assume all the numbers are different. and no 3 produce the same sum.

Then there will be     2*6*2=24 different possible outcomes.

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Y=-1/3x^2-4x-5 in vertex form
grigory [225]

Answer:

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

Step-by-step explanation:

Given function:

Y=-\frac{1}{3}x^2-4x-5

We need to find the vertex form which is.,

y=a(x-h)^2+k

where (h,k) represents the co-ordinates of vertex.

We apply completing square method to do so.

We have  

Y=-\frac{1}{3}x^2-4x-5

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5

-3Y=x^2+12x+15

Isolating x^2 and x terms on one side.

Subtracting both sides by 15.

-3Y-15=x^2+12x-15-15

-3Y-15=x^2+12x

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of x term, square it and add it both sides side.  

square of half of the co-efficient of x term = (\frac{1}{2}\times 12)^2=(6)^2=36

Adding 36 to both sides.

-3Y-15+36=x^2+12x+36

-3Y+21=x^2+12x+36

Since x^2+12x+36 is a perfect square of (x+6), so, we can write as:

-3Y+21=(x+6)^2

Subtracting 21 to both sides:

-3Y+21-21=(x+6)^2-21

-3Y=(x+6)^2-21

Dividing both sides by -3.

\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

8 0
3 years ago
Decrease £110 by 50%
stellarik [79]
Half of 110 is 55 so the answer is 55
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2 years ago
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telo118 [61]

Answer:

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Step-by-step explanation:

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2 years ago
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Tanzania [10]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
14. Sharon earns $25 per item she sells plus a base salary of $100 per week. Write and solve an inequality to find how many item
kozerog [31]
Amount earned by Sharon per item sold = $25
Base salary of Sharon per week = $100
Amount that needs to be earned by Sharon per week = $700
Let us assume the number of items sold by Sharon per week = x
Then
100 + 25x = 700
25x = 700 - 100
25x = 600
x = 600/25
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So Sharon needs to sell 24 items to earn a total of $700 per week. I hope you have understood the method of solving such problems.
8 0
3 years ago
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