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Lana71 [14]
3 years ago
13

What substitution should be used to rewrite 4x^4-21x^2+20=0 as a quadratic function?

Mathematics
2 answers:
pogonyaev3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Let u = x² ( choice of variable is flexible ), then

4u² - 21u + 20 = 0 ← expressed as a quadratic

This can now be solved for u and converted back into terms of x

Ipatiy [6.2K]3 years ago
3 0

Answer:

refer the explanation

Step-by-step explanation:

this question can be written as

X^2=y

so,x^4=y^2

so it will be 4y^2-21y+20=0

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In one hour, it uses 0.120 kilowatt-hour of energy.

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5 0
3 years ago
7
Marat540 [252]

Answer:

Plan A equation:   y = 10x + 30

Plan B equation:  y = x + 80

Plan C equation: y = 5x + 50

Plan A costs the same as Plan C in 4 months

Plan A is the better option if you use 0 - 4 GBs of data each month

Plan B becomes the better deal when 8 months pass

Step-by-step explanation:

<u>When does Plan A cost the same as Plan C?</u>

Set the equations equal to each other (the cost) and solve for x (time in months)

10x + 30 = 5x + 50

5x = 20

x = 4 months

<u>Which plan is best if you only use 0-4 GBs of data a month?</u>

Test the maximum and minimum values to check which plan costs less

At 0 GBs of data used per month

Plan A:  y = 0 + $ 30 = $30 total

Plan B: y = 0 +$80 = $80 total

Plan C: y = 0 + $50 = $50 total

At 4 GBs of data used per month

Plan A: y = $ 40 + $ 30 = $ 70

Plan B: y = $ 4 + $ 80 = $ 84

Plan C: y = $ 20 + $ 50 = $ 70

Comparing the plans at maximum and minimum amount of GBs used, only one plan has the lowest cost overall. Even though Plan C is the same price at 4 GBs as Plan A, when you use 0 GBs you will end up paying more in Plan C than Plan A. Therefore, Plan A is the better option

<u>When does Plan B become the best deal?</u>

When you plot the different Plans on a graph, the slope intercept of x = 7.5 (rounded up to 8) yields the lowest cost for plan B

5 0
2 years ago
Natalie read 14 books last year. Six of the books were nonfiction. The rest were fiction. What is the ratio of nonfiction to fic
Svetach [21]
The answer in simplified form is 3:7. Therefore the answer is B.

4 0
3 years ago
Solve the equations -9x + 2y = 23 and -4x - y = -3
Ira Lisetskai [31]

Answer:

(-1,7)

Step-by-step explanation:

-9x + 2y = 23

-4x - y = -3

multiplying equation 2 by 2

-9x + 2y = 23

-8x - 2y = -6

adding the two equation to cancel out y

-17x = 17

x = -1

plugging back x = -1 into the second equation

4 - y = -3

-y = -7

y = 7

8 0
2 years ago
Read 2 more answers
The first number is the LCM of 2 ,7 and 10​
kati45 [8]
<h2><em>Answer</em>:</h2>

The least common multiple of 2, 7 and 10 would be <em>70</em>.

8 0
2 years ago
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