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Mathematics
Nicole:

http://prntscr.com/ntk6ph

3 weeks ago
Nicole:

@Narad

3 weeks ago
Narad:

Question nº39 The parent function is \[y=\sqrt{x}\] The new function is \[y=\sqrt{x+2}\] This new function is a horizontal shift by 2 units to the left The answer is option C

3 weeks ago
Narad:

Question nº 40 The parent function is \[y=\sqrt{x}\] The new function is \[y=\sqrt{4(x-1)}=\sqrt{4x-4}\] The answer is option A

3 weeks ago
Nicole:

http://prntscr.com/ntlfpc

3 weeks ago
Nicole:

@Narad

3 weeks ago
Nicole:

@Vocaloid

3 weeks ago
jhonyy9:

Nicole than you see the graph and hope you know that y = f(x) = ... is the standard form so given that when x=1 what mean that y= f(1) = ? please check the graph and you can giving the right answer from there when x= 1 so y = ? hope helped

3 weeks ago
Nicole:

2?

3 weeks ago
Nicole:

@Narad any input?

3 weeks ago
Narad:

When x=1, the value of y=-1

3 weeks ago
Nicole:

http://prntscr.com/ntmbm2

3 weeks ago
Narad:

Question nº49 An inverse variation is \[y=k/x\] When y=50 and x=4 The value of k is \[k=yx=50*4=200\] The answer is option D

3 weeks ago
Narad:

question nº50 A direct variation is \[y=kx\] When y=45 the value of x=5 Therefore, \[k=y/x/=45/5=9\] so, \[y=9x\] The answer is option A

3 weeks ago
Nicole:

Okay http://prntscr.com/ntmcnh

3 weeks ago
Narad:

The parent function is \[y=1/x\] The new function is \[y=1/(x-h)\] the value of h moves the graph horizontally the answer is TRUE

3 weeks ago
Narad:

Question nº55 The parent function is \[y=1/x\] The new function is \[y=-1/(x-1)-10\] The minus one is the reflection in the x-axis, the -1 moves the graph one unit to the right and -10 moves10 units down The answer is option D

3 weeks ago
Nicole:

Okay http://prntscr.com/ntmee5

3 weeks ago
Narad:

The function is \[y=1/(x+5)+7\] The domain is All real numbers except -5 Therefore, writing x in terms of y \[1/(x+5)=(y-7)\] \[x+5=1/(y-7)\] \[x=1/(y-7)-5\] The range is All real numbers except y=7 The answer is option C

3 weeks ago
Nicole:

Okay http://prntscr.com/ntmhj6

3 weeks ago
Narad:

looking at the graph, when x= -1 y= 4 the answer is FALSE

3 weeks ago
Nicole:

okay http://prntscr.com/ntmk33

3 weeks ago
Narad:

The parent function is \[y=2^x\] The new function is \[y=2^{x-4}\] This is a horizontal shift by 4 units to the right The answer is FALSE

3 weeks ago
Nicole:

okay http://prntscr.com/ntmkom

3 weeks ago
Narad:

If you have the function \[y=logx\] When x=1, y=0 This is not the cae here The graph shown is \[y=logx +1\] The answer is FALSE

3 weeks ago
Nicole:

okay http://prntscr.com/ntmn2r

3 weeks ago
Narad:

The parent function is \[y=logx\] The new function is \[y=\log(x-h)\] and \[h<0\] The new function is translated horizontally by h units to the LEFT The answer is FALSE

3 weeks ago
Nicole:

okay http://prntscr.com/ntmo9h

3 weeks ago
Narad:

The parent function of this graph is \[y=logx\] When x=0, y=-4 The graph is translated horizontally to the left by 1 unit And vertically by -4 units Therefore, the equation of the graph is \[y=\log(x+1)-4\] The answer is option A

3 weeks ago
Nicole:

http://prntscr.com/ntmpjo

3 weeks ago
Narad:

From the graph, when x=0 y=-1.8 The answer is FALSE

3 weeks ago
Nicole:

okay http://prntscr.com/ntmrg6

3 weeks ago
Narad:

The cosine of an angle is by definition equals to = (adjacent side)/(hypotenuse) In the right angle triangle XYZ cosX=YX/ZX = z/y The answer is option B

3 weeks ago
Nicole:

okay http://prntscr.com/ntms4m

3 weeks ago
Narad:

The tangent of an angle is =(opposite side)/(adjacent side) In the right angle triangle ABC tanA =(BC)/(AB)=15/20=3/4 The answer is option B

3 weeks ago
Nicole:

Got it http://prntscr.com/ntmtit

3 weeks ago
Narad:

The cosine of an angle is =(adjacent side)/(hypotenuse) In the right angle triangle ABC, we have CosA= AB/AC=20/25=4/5 The answer is option A

3 weeks ago
Nicole:

okay http://prntscr.com/ntmufq

3 weeks ago
Narad:

By definition, an angle of 180º is equal to \[\pi\] radians And an angle of 360º is equal to \[2\pi \] radians The answer is FALSE

3 weeks ago
Nicole:

Okay http://prntscr.com/ntmvqg

3 weeks ago
Narad:

The tangent of the angle is \[tanA= 0.29\] Therefore, The angle is \[A=\tan ^{-1}(0.29)=16.17º\] From my calculator The answer is option C

3 weeks ago
Nicole:

Okay http://prntscr.com/ntmwep

3 weeks ago
Narad:

The sine of the angle is \[sinA=2/4=1/2\] From the unit circle, we know that A=30º The answer is option B

3 weeks ago
Nicole:

Got it http://prntscr.com/ntmxti

3 weeks ago
Narad:

The triangle is right angle triangle XYZ \[tanX=YZ/XZ\] \[\tan50º=YZ/4.5\] \[YZ=4.5\tan50º\] From my calculator \[YZ=5.36\] The answer is option A

3 weeks ago
Nicole:

http://prntscr.com/ntmyuz

3 weeks ago
Narad:

By the Pythagoras theorem, Let the side =x ft \[x^2+x^2 =8^2=64\] \[2x^2=64\] \[x^2=32\] \[x=\sqrt{32}=5.66ft\] The answer is option B

3 weeks ago
Narad:

Question nº66 Again, by Pythagoras theorem \[x^2+x^2=2x^2=25^2=625\] \[x=\sqrt{625/2} =17.68\] The answer is option A

3 weeks ago
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