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3 years ago

For a given input value q, the function f outputs a value r to satisfy the following equation.

Mathematics

1 answer:

-Dominant- [34]3 years ago

8 0

To solve this, you re-arrange the equation to get r by itself:

3r - 6 = 11q - 4
3r = 11q + 2 (add 6 to both sides to cancel out the -6)

r = $\frac{11q}{3} + \frac{2}{3}$ (divide both sides by 3 to get what r is)

This can also be written as: r = $\frac{11q+2}{3}$
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ANSWER:

f(q) = $\frac{11q}{3} + \frac{2}{3}$

OR

 f(q) = $\frac{11q+2}{3}$

OR

f(q) = (11q + 2) / 3 (if you can't put in fractions)

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tony said that the school playground was 3,600 inches long. Explain how you could write 3,600 inches in a way that might be easi

kirill115 [55]

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4 years ago

Describe the relationship between two variables when the correlation coefficient r is one of the following. (a) near –1 strong

zepelin [54]

Answer:

a) strong negative linear correlation.

b) Weak or no linear correlation.

c) strong positive linear correlation.

Step-by-step explanation:

The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.

Now back to the question:

a) Near -1: as we said before, this means an strong negative (-1) linear correlation.

b) Near 0: weak or no linear correlation (we cannot say if its positive or negative because we don't know it it's near zero from the right (positive numbers) or the left (negative numbers)

c) Near 1: strong positive (close to +1) linear correlation

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3 years ago

Y - 6 = 4(1 - 4)

klasskru [66]

y - 6 = 4(1 - 4)

y - 6 = 4 - 16

y - 6 = -12

y = -12 + 6

y = -6

This is a horizontal line through the point (0, -6). See below.

4 0

3 years ago

What situation could -16/4 represent?

kotykmax [81]

Answer:

I would say C

Step-by-step explanation:

Since two negatives make a positive

7 0

4 years ago

Solve: (2x - 3)^2 = -4

Wewaii [24]

Answer:

No real solutions;

$x=i+1.5$

Step-by-step explanation:

The easiest method to solve an algebraic equation is to use inverse operations. This applies to the given equation;

$(2x-3)^2=-4\\$

- Take the square root of both sides

$\sqrt{}$

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As one can see, the right side is a negative number. However, one cannot take the square root of a negative number and get a real result. Therefore, one must use imaginary numbers. Remember, the imaginary unit ( $i$ ) represents ( $\sqrt{-1}$ ).