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stiks02 [169]
3 years ago
15

The graph of y=f(x) is given above. For what value of x is y=f(x-4) undefined?

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0
Answer: Choice D) 5

-----------------------------------------------------------
-----------------------------------------------------------

Notice the hole at (1,2). This means x = 1 and y = 2
y = f(x)
y = f(1) after we replace x with 1
y = 2

If we go from f(x) to f(x-4), then we shift the xy axis four units to the left. The curve will stay still though it will move relative to the xy axis. The xy axis moves four units to the left, so it appears that the curve moved 4 units to the right.

Add 4 to the x coordinate: 
x = 1 ---> x+4 = 1+4 = 5
The y coordinate stays the same. No vertical shifting is done.

So we go from (1,2) to (5,2)
(1,2) is a hole on y = f(x)
(5,2) is a hole on y = f(x-4)

This is why the answer is x = 5

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3^5 equals 243. Explain how to use that fact to quickly evaluate 3^6.
OlgaM077 [116]

Answer:

Simply multiply 243 with 3.

Step-by-step explanation:

3^6=729

243*3=729

4 0
3 years ago
Read 2 more answers
Problem PageQuestion An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 wer
8_murik_8 [283]

Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, <u>Probability of any event</u>  =  \frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}

<u>Now, Probability that the first vehicle selected is a motorcycle is given by;</u>

                   =  \frac{\text{Number of motorcycles}}{\text{Total number of vehicles}}

Here, Number of motorcycles = 16

Total number of vehicles = 16 + 9 + 9 = 34

So, <em>Probability that the first vehicle selected is a motorcycle</em> =  \frac{16}{34}

<u>Similarly, Probability that the second vehicle is a van is given by;</u>

              =   \frac{\text{Number of vans}}{\text{Total number of remaining vehicles}}

Here, Number of vans = 9

And Total number of remaining vehicles after selecting one motorcycle = 34 - 1 = 33

So,<em> Probability that the second vehicle selected is a van</em> =  \frac{9}{33}

Therefore, the probability that the first vehicle selected is a motorcycle and the second vehicle is a van  =  \frac{16}{34}\times \frac{9}{33}

                                               =  \frac{24}{187}  =  <u>0.1283</u>

5 0
3 years ago
Let R be a relation on the set of all lines in a plane defined by (l 1 , l 2 ) R line l 1 is parallel to l 2 . Show that R is
MArishka [77]

Answer: hello your question is poorly written below is the complete question

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2): L1 is parallel to L2}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

answer:

a ) R is equivalence

b) y = 2x + C

Step-by-step explanation:

<u>a) Prove that R is an equivalence relation </u>

Every line is seen to be parallel to itself ( i.e. reflexive ) also

L1 is parallel to L2 and L2 is as well parallel to L1 ( i.e. symmetric ) also

If we presume L1 is parallel to L2 and L2 is also parallel to L3 hence we can also conclude that L1 is parallel to L3 as well ( i.e. transitive )

with these conditions we can conclude that ; R is equivalence

<u>b) show the set of all lines related to y = 2x + 4 </u>

The set of all line that is related to y = 2x + 4

y = 2x + C

because parallel lines have the same slopes.

5 0
3 years ago
How many integers between 100 and 400 contain the digit 2?
Semenov [28]
102, 112, 120-129, 132, 142, 152, 162, 172, 182, 192, 200-299, 302, 312, 320-329, 332, 342, 352, 362, 372, 382, 392
2+10+7+100+2+10+7
138 integers.
8 0
3 years ago
How many 1-centimeter cubes does it need to fill the rectangular prism below.
7nadin3 [17]

Answer:

12 cubes

Step-by-step explanation:

To find out how many cubes can fit into the rectangular prism, we need to find the volume.

Volume is Length × width × height

6×2×1=12

The volume is 12 units cubed.

We can fit 12 1-centimeter cubes in the rectangular prism.

<u>Hope this helps :)</u>

6 0
3 years ago
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