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Hatshy [7]
3 years ago
13

Instructions:Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

Mathematics
2 answers:
Bumek [7]3 years ago
7 0
We have the following function:
(x)  = 3x - 7
The function f translated 6 units up and 2 units rigth:
6 units up:
y  = 3x - 7 + 6
2 units rigth:
y  = 3(x-2) - 7 + 6
y  = 3x - 6 - 7 + 6
Finally:
g(x)  = 3x - 7

The function f reflected about the y-axis and translated 7 units left:
reflected about the y-axis:
y = 3(-x) - 7
y = -3x - 7
translated 7 units left:
y = -3(x+7) - 7
y = -3x - 21 - 7
y = -3x -28
Finally:
g(x) = -3x - 28

The function f stretched vertically by a factor of 2 and translated up by 5 units:
stretched vertically by a factor:
y = 6x - 14
translated up by 5 units: 
y = 6x - 14 + 5 
y = 6x - 9
Finally:
g(x) = 6x - 9

 The function f stretched vertically by a factor of 4 and translated up by 9 units:
stretched vertically by a factor of 4:
y = 12x - 28
translated up by 9 units: 
y = 12x - 28 + 9 
y = 12x - 19
Finally:
g(x) = 12x - 19
disa [49]3 years ago
4 0
Given that our original function is:
f(x)=3x-7

To Match each verbal description to its equivalent function rule we shall proceed as follows:
The function is translated 6 units up and 2 units right. 
since f(x) cuts through point (0,-7) the translation will give us the points (2,-7) and (2,-1), since the new line is parallel to the old, the slope will be m=3, thus the equation will be:
y=3x+c
using point (2,-1)
-1=3(2)+c
-1-6=c
c=-7
thus our equation will be:
y=3x-7
thus our new equation is: g(x)=3x-7


b] The function f is reflected about the y-axis and translated 7 units left. when we reflect the function f o y -axis, the new function will be:
y=-3x-7
when we translate this 7 units to the left we shall have:
y=-3x(x+7)-7
thus the final equation is
g(x)=-3x-21-7
simplifying we obtain:
g(x)=-3x-28


c] When f is stretched vertically by a factor of 2 and translated up by 5 units we shall have the following:
when f is stretched, the new function will be:
y=2(3x-7)
y=6x-14
when the above function is translated up by 5 units we shall have:
y=6x-14+5
thus simplifying the above the function becomes
g(x)=6x-9

c] The factor f is stretched vertically by a factor of 4 and translated up by 9 units.
when f(x) is stretched by a factor of 4, the new function will be:
f(x)=4(3x-7)
f(x)=12x-28
when the function is translated up by 9 units, the new function will be:
f(x)=12x-28+9
simplifying the above we get:
g(x)=12x-19 



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Olenka [21]

Answer:

  • The y-intercept is - 372 and it means that if the manufacturers do not produce and sell any blenders they will have a loss of $ 372.

Explanation:

The polynomial that represents the function is:

  • P(x)=8x+0.3x^2-0.0013x^3-372

Where the variable, x, represents the number of blenders produced and sold monthly, and P(x) is the monthly profit in dollars obtained for the sale of x blenders.

As for the question, the y-intercept is the point on the graph where the function crosses the y-axis, i.e. where the input of the function is x = 0.

Therefore, the y-intercept is the value of the function for x = 0, P(0), and it is found by substituting 0 for x in the polynomial function, which is shown next:

  • P(0)=8(0)+0.3(0)^2-0.0013(0)^3-372=-372

The meaning of this value is that the firm loses $372 when it does not produce and sell any blenders.

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3 years ago
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aleksandrvk [35]

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7 0
3 years ago
If 45 mL of H2O are required to mix 100 g of casting plaster, how many milliliters would you need for 250 g of plaster ?
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