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julia-pushkina [17]
3 years ago
12

How to solve it and why

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0
6.

4x^2 + 4 = 0

Divide both sides by 4

x^2 + 1 = 0

Use the quadratic formula since this cannot be factored.

x = (-b +- sqrt(b^2 - 4ac))/(2a)

x = +- sqrt(-4(1)(1))/2

x = +- sqrt(-4)/2

x = +- 2i/2

x = +- i

x = i or x = -i

Quicker solution:

If you have x^2 = number, then

x = +- sqrt(number)

Once you get to

x^2 + 1 = 0

Subtract 1 from both sides

x^2 = -1

Apply the quick method

x = +- sqrt(-1)

x = +- i

8.

2x^2 + 50 = 0

Divide both sides by 2

x^2 + 25 = 0

Subtract 25 from both sides

x^2 = -25

Apply quick method

x = +- sqrt(25)

x = +- 5i

x = 5i or x = -5i
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The table below shows the fifth powers of different numbers:
g100num [7]
Part A

Yes y is a function of x. Specifically the equation is y = x^5
For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1
Notice how if x = -1 then y = x^5 = (-1)^5 = -1
Notice how if x = -2 then y = x^5 = (-2)^5 = -32
Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,
x^5 = x*x*x*x*x
there are five copies of x multiplied

A more specific example
3^5 = 3*3*3*3*3
there are five copies of '3' multiplied

=====================================================

Part B

All we do is replace x with 4 and use PEMDAS to simplify
f(x) = 2x+12
f(4) = 2(4)+12
f(4) = 8+12
f(4) = 20

The value of f(4) is 20
What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20. 

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up
The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12
In total, variableCost+fixedCost = 8+12 = 20 = totalCost

4 0
3 years ago
Please help find the rate?
Ratling [72]

9.09 is what your looking for.

7 0
3 years ago
Please help<br><br> compare. Write &lt;, &gt;, or =.
Zina [86]

Answer:

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3. >

4. =

5. <

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8. >

9. >

10. <

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Step-by-step explanation:

5 0
3 years ago
A store sells a 114 pound package of turkey for $9.
Anika [276]

Answer:

Each pound of turkey in the package cost 7.20 dollars.

Step-by-step explanation:

If you wanted a explanation then comment

4 0
3 years ago
Read 2 more answers
ANSWER ASAP<br><br> x+4.5<br><br> x= 1.2<br><br> A: 3.3<br> B: 6.7<br> C: 5.7
swat32

Answer:

C.5.7

Step-by-step explanation:

plug in the x value then add 4.5 to 1.2 and booyyah

6 0
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