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anzhelika [568]
3 years ago
10

Using the quadratic formula to solve x2 35-x, what are the values of x?

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Answer:

x = (-1 ± √21) / 2

The first choice

Step-by-step explanation:

x² = 5 - x

Put in standard form

x² + x - 5 = 0

Use quadratic equation

x = ( -b ± √( b² - 4ac) ) / (2a)

Plug in a = 1, b = 1 , c = -5

x = (-1 ± √( 1² - 4*1*(-5)) ) / 2

evaluate

x = (-1 ± √21) / 2

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You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan c
Virty [35]

Answer: 286 minutes

Step-by-step explanation:

x : # of months that has gone by

0.24x : cost of the 24 cent plan after "x" minutes

39.95 + 0.10x : cost of the 10 cent plan after "x" minutes

1. 39.95 + 0.10x > 0.24x

2. 39.95 > 0.24x - 0.10x

3. 39.95 > 0.14x

4. 285.36 > x

x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal

7 0
3 years ago
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The population of fish in a certain lake increased from 350 to 430 over the months of March and April. At what rate is the popul
Xelga [282]
40 fish a day increase(unit rate)
4 0
4 years ago
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Identify the line with an undefined slope
Fudgin [204]

Answer:

d. vertical line

Step-by-step explanation:

A line with an undefined slope is a vertical line

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8 0
2 years ago
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Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.
katrin [286]
You can find the remainder right away by simply plugging in x=3. The polynomial remainder theorem guarantees that the value of p(3) is the remainder upon dividing p(x) by x-3, but I digress...

Synthetic division yields

3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6

which translates to

\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}

(and note that p(3)=2(3)^3-11(3)^2+18(3)-15=-6, as expected)
5 0
3 years ago
Find all the real square roots of 0.0064
LenKa [72]
√64 = 8

64÷1000 = 0.0064

8÷1000=0.0008

√0.0064 = 0.0008
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4 years ago
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