What expression is 3(x-6)2 - 2(x-1) equivalent to ?

Mathematics

1 answer:

hjlf3 years ago

5 0

Answer:

4x-34

Step-by-step explanation: simplify to find your answer

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92. Calculate the mean of each data set below. Can you find any shortcuts that allow you to find the mean without having to do m

dimulka [17.4K]

Calculate the mean of each data set below. Can you find any shortcuts that allow you to find the mean without having to do much calculation? Homework help 6, 10, 6, 10 11, 12, 12, 13, 12 0, 5, 4, 8, 0, 7

Answer: To find the mean of the given observations. we just need to first find the sum of the given observations and the divide the calculate sum by the total number of observations.

So here:

Sum of of observations $=6+ 10+ 6+10+11+12+12+13+12+0+ 5+ 4+ 8+ 0+7=116$

Number of observations = 15

Therefore, the mean $=\frac{116}{15}= 7.733$

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4 years ago

X squared -8x+14=2x-7

Stella [2.4K]

Answer:

x = 3 or x = 7

Step-by-step explanation:

X² - 8x + 14 = 2x - 7

x² - 8x + 14 - 2x + 7 = 0

Now we have a quadratic equation ;

x² - 10x + 21 = 0

-3 and - 7 gives a sum of - 10 and a product of 21

x² - 3x - 7x + 21 = 0

x(x - 3) - 7(x - 3) = 0

(x - 3) = 0 or (x - 7) = 0

x = 3 or x = 7

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3 years ago

Find an equation of the tangent line to the hyperbola y = 3/x at the point (3, 1).

Vesna [10]

Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way: $y'= \frac{x(0)-3(1)}{x^2}$ so $y'=- \frac{3}{x^2}$ . The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is: $y'=- \frac{3}{3^2}=- \frac{3}{9}=- \frac{1}{3}$ . So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b. $1=- \frac{1}{3}(3)+b$ so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is $y=- \frac{1}{3}x+2$