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Svetlanka [38]
3 years ago
8

which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11?

(5 points) the graph of y = f(x) will shift up 11 units. the graph of y = f(x) will shift right 11 units. the graph of y = f(x) will shift left 11 units. the graph of y = f(x) will shift down 11 units.
Mathematics
2 answers:
Morgarella [4.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

Alright, lets get started.

When we add or subtract any thing from the function f(x), that is called vertical shift.

The vertical shift means graph will move up or down.

When something is added, the graph of f(x) goes up means vertical shift up.

When something is subtracted, the graph of f(x) goes down, means vertical shift down.

So, when 11 is subtracted from f(x), it means, the graph of f(x) will shift 11 units down.   :  Answer

Hope it will help :)

gtnhenbr [62]3 years ago
3 0
The graph of y = f(x) will shift down 11 units.
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Find an equation of the line parallel to x=5y-9 and passing through (2,-4). Express in standard form.
Anon25 [30]

Answer:

x - 5y = 22

Step-by-step explanation:

Step 1:  rewrite the equation of the given line in to slope-intercept form by solving for y

 x = 5y - 9    

     -5y = -x - 9               (subtract 5y and x from both sides)

        y = x/5 + 9/5           (divide both side by -5)

Step 2:  Our line is parallel to this line, so it has the same slope, but a different  y-intercept, so set up the equation...

  y = x/5 + b      

We are given a  point (x, y) of (2, -4), so plug that in and solve for b.  

 -4 = 2/5 + b

            -4 - 2/5 = b      (subtract 2/5 from both sides to isolate b)  

                   -20/5 - 2/5 = b

 

                         -22/5 = b      (simplify)

So the equation of our line is  y = x/5 - 22/5

Step 3:  Standard form is ax + by = c, where a is a positive integer

subtract x/5 from both sides...

-x/5 + y = - 22/5

multiply by -5 so x becomes a positive integer

x - 5y = 22  

3 0
3 years ago
Two decimals numbers, to the thousandths, that have a sum of about 5 and a difference of about 3. Then do the math to prove it w
mina [271]

Answer:

The numbers are approximately: 4.000 and 1.000

Step-by-step explanation:

The given parameters can be expressed as:

\frac{x}{1000} + \frac{y}{1000} \approx 5

\frac{x}{1000} - \frac{y}{1000} \approx 3

Required

Determine the numbers

In each of the equations, multiply by 1000

1000 * [\frac{x}{1000} + \frac{y}{1000} \approx 5]

x + y \approx 5000

1000 * [\frac{x}{1000} - \frac{y}{1000} \approx 3]

x-y \approx 3000

So, we have:

x + y \approx 5000

x-y \approx 3000

Add the two equations

x + x + y - y \approx 5000 + 3000

2x \approx 8000

Solve for x

x \approx 8000/2

x \approx 4000

Substitute x \approx 4000 in x + y \approx 5000

4000 + y \approx 5000

y \approx 5000 - 4000

y \approx 1000

Using:

\frac{x}{1000} + \frac{y}{1000} \approx 5

We have:

\frac{4000}{1000} + \frac{1000}{1000} \approx 5

4.000 + 1.000 \approx5

<em>This implies that, the numbers approximates to 4.000 and 1.000, respectively.</em>

4 0
2 years ago
What does 2+3=8-4 im trying to do the work btu i dont know how to
adelina 88 [10]

Answer:

5=4

Step-by-step explanation:

Use pemdas

8 0
3 years ago
Add. Write your answer in simplest form.<br><br> 3/8 + 2/5
Vitek1552 [10]
\frac{3}{8}  +   \frac{2}{5}  =   \frac{(3)(5)}{(8)(5)}   +     \frac{(2)(8)}{(5)(8)}
                                =  \frac{15}{40}   +     \frac{16}{40}
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5 0
3 years ago
15 is what percent of 5?​
kkurt [141]

Answer:300

Step-by-step explanation:(15\5)*100 = 300

Hope this helps xxx

7 0
3 years ago
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