Mathematics
Nicole:

http://prntscr.com/ntk6ph

3 months ago
Nicole:

3 months ago

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 months ago

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 months ago
Nicole:

http://prntscr.com/ntlfpc

3 months ago
Nicole:

3 months ago
Nicole:

@Vocaloid

3 months 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 months ago
Nicole:

2?

3 months ago
Nicole:

3 months ago

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

3 months ago
Nicole:

http://prntscr.com/ntmbm2

3 months ago

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 months ago

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 months ago
Nicole: 3 months ago

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 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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

3 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole:

http://prntscr.com/ntmpjo

3 months ago

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

3 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole: 3 months ago

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 months ago
Nicole:

http://prntscr.com/ntmyuz

3 months ago
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
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