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VMariaS [17]
2 years ago
15

Simplify the expression, sin2x + sinx + cos2x - 1

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
6 0

Answer:

2sinxcosx + sinx +1-2sin²x-1

2sinxcosx+sinx-2sin²x

sinx (2cosx+1-2sinx)

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PLEASE HELP THANK YOU!!!
Paul [167]

Answer:

Only C is a function

Step-by-step explanation:

To test whether a graph is a function you use the vertical line test.

If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.

We see with A, wherever we put the vertical line it intersects twice.

With B, it intersects infinitely many times.

C is a function because wherever we put the vertical line, it only intersects once.

D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.

The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.

7 0
3 years ago
Evaluate the expression 3c +7d when c = 3 and d =2
Natalka [10]
The answer to this is 23
5 0
3 years ago
Read 2 more answers
For the function f(x)=(7-8x)^2, find f^-1 determine whether f^-1 is a function
sertanlavr [38]
Is this question correct ?

5 0
3 years ago
A circle has a diameter of 41 centimeters. Which equation can be used to find the radius of this circle? r=41π r=2(41) r=412 r=4
irinina [24]

Answer:

r=41/2

Step-by-step explanation:

You have to divide the diameter,  41, by 2 because the radius of the circle is half of the diameter. So, the answer would be 20.5

8 0
2 years ago
Read 2 more answers
Please Help! What’s the Answer??
almond37 [142]

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

(-4, 3) and (5, 3)

y_{2} =3\\y_{1} =3\\x_{2} =5\\x_{1} =-4

^^^Plug these numbers into the formula for slope...

\frac{3-3}{5 - (-4)}

\frac{0}{9}

B. 0

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
3 years ago
Read 2 more answers
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