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IRINA_888 [86]
3 years ago
3

Which equation has the solutions x = StartFraction 5 plus-or-minus 2 StartRoot 7 EndRoot Over 3 EndFraction?

Mathematics
2 answers:
just olya [345]3 years ago
8 0

Answer:

3x^2 - 10x - 1 = 0 $OPTION D ON EDGE$

Step-by-step explanation:

lana [24]3 years ago
7 0

Answer:

3x2 – 10x + 6 = 0

Step-by-step explanation:

Givena general quadratic equation

ax²+bx+c = 0

The general formula for finding x is;

x = -b±√b²-4ac/2a

Where a,b and c are the coefficient of x², x and x° respectively

Given the solution in question to be;

x = 5±2√7/3

The quadratic equation that has thw above general solution will be;

3x²-10x+6 = 0

From the equation, a = 3, b= -10 and c = 6

Substituting this value in the general formula to get x we have;

x = -(-10)±√(-10)²-4(3)(6)/2(3)

x = 10±√100-72/6

x = 10±√28/6

x = 10±√7×4/6

x = 10±2√7/6

Dividing through by 2 gave;

x = 2(5±2√7)/6

x = 5±2√7/3 (which gives the solution in question)

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Answer:    Effect of outliers on mean median and mode

Outlier An extreme value in a set of data which is much higher or lower than the other numbers. Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

Step-by-step explanation:

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3 years ago
A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces
True [87]

Answer:

p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8

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Step-by-step explanation:

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4 0
3 years ago
Im confusedd, please help??
spayn [35]

Answer:  three sets of value show 3 consecutive increases and they could be the intensities during fourth, fifth, and six visits:

  • 66%, 69%, 72%;
  • 63%, 65%, 67%, and
  • 67%, 72%, 77%

Explanation:


1) The program recommends a constant intensity for 3 visits, which is what the table shows:

Day        Intensisty

1             63%

2            equal ⇒ 63%

3            equal ⇒ 63%


2) Hence, you have to determine the valid sets that meet the recommendation for the fourth, fifth, and six visits, which are the next three.


2) For the next three visits, the program recommensd increasing intensities.


There are three options that show 3 consecutive increases; they are:

  • 66%, 69%, 72%;
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Therefore, those are the choices that apply.

4 0
4 years ago
Differentiate the function. f(x) = sin(9 ln(x))
gayaneshka [121]

Answer: f'(x)=\dfrac{9\cos(9\ln (x))}{x}.

Step-by-step explanation:

The given function is

f(x)=\sin(9\ln (x))

Using chain rule differentiate w.r.t. x.

f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))      \left[\because \dfrac{d}{dx}\sin x=\cos x\right]

f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right]

f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right]       \left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right]

f'(x)=\dfrac{9\cos(9\ln (x))}{x}

Therefore, f'(x)=\dfrac{9\cos(9\ln (x))}{x}.

5 0
3 years ago
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