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Pavel [41]
3 years ago
14

Is a graph of a slanted line a one-to-one function? Justify your answer.

Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

A slanted straight line is one-to-one:  It passes the "horizontal ilne test."  This means that any line drawn horizontally through the given line intersects that line only once.  The significance of this is that the given line/function has an inverse.  y = x is one-to-one and has the inverse y = x.  y = 2x is one-to-one and has the inverse y = (1/2)x.

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Find all the cube roots of cube roots <br><img src="https://tex.z-dn.net/?f=2%20%7Be%7D%5E%7B2i%5Cpi%7D%20" id="TexFormula1" tit
DochEvi [55]

Answer:

It is

1.26{e}^{ \frac{2i\pi}{3}}

Step-by-step explanation:

2 {e}^{2i\pi}

cube root:

=  \sqrt[3]{2 {e}^{2i\pi}}  \\  = ( {2 {e}^{2i\pi})}^{ \frac{1}{3} }  \\   =  {2}^{ \frac{1}{3} } ( {e}^{ \frac{2i\pi}{3} } ) \\  = 1.26{e}^{ \frac{2i\pi}{3}}

7 0
3 years ago
The same as the other math problem ​
sveta [45]

Answer:

12. Y=8 is the answer I have the explain

13. X=-1 is the answer I have the explain

Step-by-step explanation: hope this help

8 0
3 years ago
Which of the following best describes the set of complex numbers?
erica [24]

Answer:

C

Step-by-step explanation:

4 0
2 years ago
Write the linear equation in slope-intercept form?​
Kryger [21]

\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-11})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-11)}{-2-(-5)}\implies \cfrac{1+11}{-2+5}\implies \cfrac{12}{3}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-11)=4[x-(-5)]\implies y+11=4(x+5) \\\\\\ y+11=4x+20\implies y=4x+9

7 0
3 years ago
Read 2 more answers
Question #12: There are 15 pieces of fruit in a bowl. 6 of them are pears. What
dangina [55]

since our denominator in 6/15 is 15, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 15 = 6.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

6 x 6.6666666666667/15 x 6.6666666666667

= 40/100

Now we can see that our fraction is 40/100, which means that 6/15 as a percentage is 40%.

We can also work this out in a simpler way by first converting the fraction 6/15 to a decimal. To do that, we simply divide the numerator by the denominator:

6/15 = 0.4

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.4 x 100 = 40%

And there you have it! Two different ways to convert 6/15 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

7 0
2 years ago
Read 2 more answers
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