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evablogger [386]
2 years ago
13

I bought 16 cupcakes and then last week i bought 9 keep the pattern going

Mathematics
1 answer:
lana [24]2 years ago
4 0

Answer:

25

Step-by-step explanation:

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John and Tim are looking at the equation the square root of the quantity of 3 times x minus 4 equals square root of x . John say
IgorC [24]
The equation is 
3x - 4 = sqrt(x)
where 'sqrt' is shorthand for 'square root'

Let's solve the equation. To do so, we square both sides. Then we get everything to one side
3x - 4 = sqrt(x)
(3x - 4)^2 = (sqrt(x))^2
9x^2 - 24x + 16 = x
9x^2 - 24x + 16-x = x-x
9x^2 - 25x + 16 = 0

Now use the quadratic formula. See the attached image for those steps.

After using the quadratic formula the two possible solutions are x = 1 or x = 16/9

We need to check each possible solution to see if it is extraneous or not.

----------------------------

Checking x = 1

3x - 4 = sqrt(x)
3*1 - 4 = sqrt(1)
3 - 4 = 1
-1 = 1

The final equation is false, so x = 1 is not a true solution

x = 1 is extraneous. 

So far, John is correct; however, we need to see the nature of the possible solution x = 16/9

So let's check it
----------------------------

Checking x = 16/9

3x - 4 = sqrt(x)
3*(16/9) - 4 = sqrt(16/9)
48/9 - 4 = 4/3
16/3 - 4 = 4/3
16/3 - 12/3 = 4/3
(16 - 12)/3 = 4/3
4/3 = 4/3

The last equation is true, so x = 16/9 is a proper solution.

This solution is considered non-extraneous. So Tim is also correct
----------------------------

They are both correct because there are two possible solutions. One of which is extraneous (x = 1) and the other is non-extraneous (the fraction x = 16/9)

3 0
3 years ago
Captain Ben has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Umaima and her merciless band of
IceJOKER [234]

Answer:

0

Step-by-step explanation:

We are told that if the Captain's ship has been hit, he will always miss and since the pirate is shooting first, the captain's ship could be hit. So the probability that both of them hit each other's ship is 0 because if the pirate hits the Captain's ship, he will always miss.  1/2 * 0 = 0

There is no way for both of them to hit each other's ships because if their ships have been hit, they will always miss.

3 0
3 years ago
What’s the answer for this??
Arturiano [62]

Answer:

I would say D

Hope This Helps!       Have A Nice Afternoon!!

7 0
3 years ago
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PLEASE HELP GEOMETRY QUESTION
tino4ka555 [31]

Answer:

Step-by-step explanation:

8 0
2 years ago
A silo is a storage bin that is a cylinder with a hemisphere on top.A farmer has a silo with a base radius of 30 feet and a stor
vladimir1956 [14]
1000 square feet of wheat produces 250 pounds of grain.

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3 years ago
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