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3 years ago

Is the following graph a function?

Mathematics

1 answer:

alekssr [168]3 years ago

7 0

Check the picture below.

notice that if we run the "vertical line test", the green vertical line there, touches the graph more than once, and for a function, it has to touch it only once, so no dice.

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3 years ago

13. For what value of b would the following system of equations have an infinite number of solutions?

tiny-mole [99]

Answer:

b=2

Step-by-step explanation:

we have

9x+12y=21 -----> equation A

6x+8y=7b ----> equation B

we know that

If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B

Multiply equation B by 1.5 both sides

1.5*[6x+8y[=7b*1.5

9x+12y=10.5b ----> equation C

Compare equation A and equation C

9x+12y=21 -----> equation A

9x+12y=10.5b ----> equation C

For the equations to be equal it must be fulfilled that

21=10.5b

solve for b

b=21/10.5

b=2

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3 years ago

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JulijaS [17]

its b

Step-by-step explanation:

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2 years ago

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?

Lady_Fox [76]

Answer:

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\y=mx+b\\m-slope\\b-y\ intercept$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

$\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\=========================$

$\text{From the graph we have two points (-3, 2) and (0, 1).}\\\text{Calculate the slope of the given line:}\\\\m=\dfrac{1-2}{0-(-3)}=\dfrac{-1}{3}=-\dfrac{1}{3}.\\\\\text{Therefore the slope of the perpendicular line is:}\\\\m=-\dfrac{1}{-\frac{1}{3}}=3\\\\\text{Put it and the coordinates of the point (3, 4) to the equation of a line:}\\\\4=3(3)+b\\4=9+b\qquad\text{subtract 9 from both sides}\\-5=b\to b=-5\\\\\text{Finally:}\\\\y=3x-5$

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3 years ago

Write "zero and five hundred one thousandths" as a decimal.<br> nal

Fynjy0 [20]

Answer:

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Step-by-step explanation:

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3 years ago