Which function is a linear function?

Mathematics

1 answer:

natali 33 [55]2 years ago

4 0

Answer:

B) y + 7 = 5x

Step-by-step explanation:

In math, a linear function is one that has a graph that is a line. It looks like this: There are two things that make up the equation: y = f(x) = a + bx. One independent variable and one dependent variable make up a linear function, which is also called a simple function. The independent variable is x, and the dependent variable is y, which is what you're interested in. Also, there are no exponents in a linear function, which means the exponent is one.

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For the function y=-2+5sin(pi/12)(x-2)), what is the minimum value

Lelechka [254]

Assuming the function is

$y=-2+5\sin\left(\dfrac\pi{12}(x-2)\right)$

recall that $-1\le\sin x\le1$ , which means

$-1\le\sin\left(\dfrac\pi{12}(x-2)\right)\le1$
$\implies-5\le5\sin\left(\dfrac\pi{12}(x-2)\right)\le5$
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Fantom [35]

Answer:

About 53.13 degrees.

Step-by-step explanation:

If we draw the path of the hiker, or rather, all three vectors with vector B having its starting point at the end point of vector A, a right triangle is formed. We will most likely be using trigonometric functions to solve this.

vector A is parallel to the x axis (West - East), and vector B is perpendicular, so we'll be using the inverse tangent function to get the angle based on the ratio of the lengths of vector B to vector A, which is $\frac{4}{3}$

atan $(\frac{4}{3}) = 53.13$ degrees.

If one would be pedantic, they'd say that the direction we have to go to get from vector C to vector A is clockwise, which is anti-mathematical, the true answer would be -53.13 degrees. Alternatively, whatever 360-53.13 is.

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Answer:

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Step-by-step explanation:

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