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Liv1234
 one year ago
Can someone please help me with a question?
Liv1234
 one year ago
Can someone please help me with a question?

This Question is Closed

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2the new function g(x) has to be equal to the old function f at point x+1

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2in formula, my statements means: g(x)=f(x+1)

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0So kind of like for example y= mx+b?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2in that case, we can write this: g(x9=m(x+1)+b

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2oops.. g(x)=m(x+1)+b

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0By the way, sorry if I seem slow with this, I'm just really bad with math.

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0How would I solve the answer with that?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2I think you have to do the multiplication, like below: g(x)=mx+m+b

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0How do I do the multiplication with this equation?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2we can do the multiplication above using the distributive property of multiplication over addition

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0I think I remember how to do that, is there a formula?

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0So, (sorry to ask again) what numbers would be put in?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2the general formula, is: \[\left( {a + b} \right)c = ac + bc,\quad \forall a,b,c \in \mathbb{R}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2you have to know the values of the coefficients m and b

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0I feel really stupid to keep asking for help, but how would I find the coefficients?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2you can retrieve the value of those coefficients, from the text of your exercise

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0The only number I had from the exercise is "1"

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2in that case your exercise is not a numeric exercise

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Hang on, let me repost the question

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Okay, that's the question

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2your answer, is: \[g\left( x \right) = m\left( {x + 1} \right) + b = mx + m + b\] and we have completed your exercise

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Wait, so what option would I choose? I'm confused.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2the first option

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Can you help me with another question?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2when we make a reflection with respect to the xaxis, then we can write the new function g(x) as below: \[g\left( x \right) =  f\left( x \right)\]

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0So, how would I solve?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2it is simple, you have to replace f(x) with its formula: \[g\left( x \right) =  f\left( x \right) =  \left( {{x^2} + 5} \right) = ...?\]

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Would the answer be g(x)= x^2+5?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2not exactly, since when you cancel the parentheses, you get this: \[g\left( x \right) =  f\left( x \right) =  \left( {{x^2} + 5} \right) =  {x^2}  5\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2every term inside the parentheses change its sign

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2so we can write this: \[  \left( {{x^2} + 5} \right) =  {x^2}  5\]

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Can you help me with another one?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2here we have to consider all points whose ycoordinate is less the y coordinate of the points which belong to the straight line

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Let me guess, it's the first option right?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2please wait, first we have to write the equation of the straight line

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Okay, so how would we do that?

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0I know that the line is at 6 and 5

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2your line passes at points (5,0) and (0,6), so its equation is: \[\frac{{y  0}}{{6  0}} = \frac{{x + 5}}{{0 + 5}}\]

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0It actually passes at 6 and 5 though.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2which can be simplified to this form: \[6x  5y =  30\]

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0So, what option would I choose?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2please wait, I think that your line passes at points (6,0) and (0,5), so its equation is: \[5x  6y =  30\]

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0So, would it be C or D?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2so the shaded part of cartesian plane is represented by this inequality: \[5x  6y \geqslant  30\]

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Can you help me with another one please?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2more explanation: the ycoordinate of the points of the shaded region has to be less than the ycoordinate of the point of the straight line, so we can write this: \[y \leqslant \frac{{5x  30}}{6}\]

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Can you help me with this question?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2we can write this: \[g\left( x \right) = 5\left( {  7{x^2}} \right) + 5 = 5f\left( x \right) + 5\]

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0I think the answer is D

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Yay! Can you help me with another one please?

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Okay, that's the question.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2the ycoordinates of the new function g(x) have to be six time greater than the respectively ycoordinate of the old function f(x)

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0So, would the answer be C?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2no, I meant six as a factor

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Oh, so would it be A? Because it has multiplication?

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Can you help me with another one?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2please wait, since another student has requested my help

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0It's a quick question though

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.27 means shifting down by 7 units furthermore, as we can see in your first exercise, x+3 means shifting to left

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2no, since the vertical shift is by 7 units down and the horizontal shift is by 3 units left

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2correct! it is option B

Liv1234
 one year ago
Best ResponseYou've already chosen the best response.0Do you think you could help me with another?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2yes! please wait
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