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LekaFEV [45]
3 years ago
11

If a function f(x) is shifted to the left one unit, what function represents the transformation?

Mathematics
2 answers:
barxatty [35]3 years ago
6 0
<span>So we want to know what transformation shifts the function f(x) one unit to the left. To know that lets take a look at the argument x. So when we add 1 unti to x it becomes x+1 and it is shifted to the right. When we add -1 to x it becomes x-1 and shifts to the left. So the answer is f(x-1). </span>
Kay [80]3 years ago
3 0

Answer:

The answer is A : f(x+1)

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The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of th
kondaur [170]
L=16
W=21

Set up a systems of equations: 
x=length 
y=width 

xy=336
x+5=y

Use substitution to solve: 
x(x+5)=336
x^2+5x=336 

Solve using factoring: 
x^2+5x-336=0
(x-16)(x+21)=0
x=16 and x= -21 
Since length can't be negative, l=16 

To find width, plug length into the first equation: 
(16)y=336
y=21 

So...
L=16
<span>W=21</span>
7 0
3 years ago
Read 2 more answers
Express the given integral as the limit of a riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed m
WARRIOR [948]
We will use the right Riemann sum. We can break this integral in two parts.
\int_{0}^{3} (x^3-6x) dx=\int_{0}^{3} x^3 dx-6\int_{0}^{3} x dx
We take the interval and we divide it n times:
\Delta x=\frac{b-a}{n}=\frac{3}{n}
The area of the i-th rectangle in the right Riemann sum is:
A_i=\Delta xf(a+i\Delta x)=\Delta x f(i\Delta x)
For the first part of our integral we have:
A_i=\Delta x(i\Delta x)^3=(\Delta x)^4 i^3
For the second part we have:
A_i=-6\Delta x(i\Delta x)=-6(\Delta x)^2i
We can now put it all together:
\sum_{i=1}^{i=n} [(\Delta x)^4 i^3-6(\Delta x)^2i]\\\sum_{i=1}^{i=n}[ (\frac{3}{n})^4 i^3-6(\frac{3}{n})^2i]\\&#10;\sum_{i=1}^{i=n}(\frac{3}{n})^2i[(\frac{3}{n})^2 i^2-6]
We can also write n-th partial sum:
S_n=(\frac{3}{n})^4\cdot \frac{(n^2+n)^2}{4} -6(\frac{3}{n})^2\cdot \frac{n^2+n}{2}

4 0
3 years ago
How do you write the expression multiply two and six then subtract 20
Anna007 [38]

Answer:

(2 * 6) - 20

Step-by-step explanation:

<u>Step 1:  Convert words into an expression </u>

Multiply two and six then subtract 20

<em>(2 * 6) - 20 </em>

Answer:  (2 * 6) - 20

4 0
3 years ago
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Mice21 [21]
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Shiva works on a 4 hour shift. After 6/5 hours, she takes a break. How much of the work shift does she have left?
Mrrafil [7]

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4 - 1.2 =  2.8 = 2 hours and 80 minutes (60 minutes is an hour) = 3 hours and 20 minutes

5 0
3 years ago
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