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dmitriy555 [2]
4 years ago
11

Given the parent function

Mathematics
2 answers:
lozanna [386]4 years ago
7 0

Answer:

Option c is right.

Step-by-step explanation:

Given is a parabola y =x^2

From that transformation is done to get parabola as

y =(0.2x)^2

We find that instead of x here we use 0.2x

i.e. New x = 5 times old x

Hence there is a horizontal expansion of scale factor 5.

We can check with any point also

When y =4, x=2 in the parent graph

But when y =4 , we have x = 10 in the new graph

i.e. there is a horizontal expansion of scale factor 5.

Marianna [84]4 years ago
4 0
<h2>Answer:</h2>

<u>The correct option is </u><u>B Expanded vertically by a factor of 10</u>

<h2>Step-by-step explanation:</h2>

The function is a parabola

If wee see the original graph of parent function is shown as red in the figure attached and the graph of related function is in blue color so we can clearly see that the function is expanded vertically by a factor of 10.

See the attached figure for comparison

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In an arithmetic sequence, term 10 is 33 and term 22 is -3. What are the first 4 terms
Anarel [89]

9514 1404 393

Answer:

  60, 57, 54, 51, ...

Step-by-step explanation:

The general term of an arithmetic sequence is ...

  an = a1 +d(n -1)

We would like to find the first term (a1) and the common difference (d). We can use the two given terms to find these parameters.

  a10 = 33 = a1 +d(10 -1)

  a22 = -3 = a1 +d(22 -1)

Subtracting the first equation from the second, we get ...

  (-3) -(33) = (a1 +21d) -(a1 +9d)

  -36 = 12d

  -3 = d

Using this value in the first equation, we can find a1.

  33 = a1 +9(-3) = a1 -27

  60 = a1 . . . . . . . . . . . . . . add 27 to both sides

So, our sequence has first term 60 and a common difference of -3.

The first 4 terms are ...

  60, 57, 54, 51, ...

8 0
3 years ago
Use trig to answer this question. find x.
Vinil7 [7]
  • sin35=6/x
  • xsin35=6
  • x=6/sin35
  • x=10.46068077
8 0
3 years ago
In a group of 65 students when you have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this gro
Gemiola [76]

Answer:

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

Corrected question;

In a group of 65 students 10 have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes

Step-by-step explanation:

Given;

Total number of students = 65

Number of students with either blue or brown eyes;

= 10+30 = 40

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

4 0
3 years ago
F(x)=x^2. What is g(x)
ANTONII [103]

Answer: D

Step-by-step explanation:

I substituted in the value of x (2) to see if it gave me the value of y (1) because that’s the point it gave on g(x).

The only equation that worked was D.

1/2*2=1 then 1^2=1

3 0
4 years ago
The points (6,8) and (5,5) fall on a particular line.
Doss [256]

Answer:

y=3x-10

Step-by-step explanation:

To find equation of the line passing through points

and A(xa, ya) and B(xb, yb)

, we use formula: y-ya = yb-ya/xb-xa (x-xa)

In this example we have xa=

6 ,ya=

8 , xb=5

and yb=5

. So,

y-ya= yb-ya / xb-xa (x-xa)

y-8 = 5-8/ 5-6 (x-6)

y-8= 3(x-6)

y-8= 3x-18

y-8= 3x-10

y = 3x - 10

8 0
3 years ago
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