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Varvara68 [4.7K]
3 years ago
12

Identify the parent function that can be used to graph the function f(x)= -2x+2

Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer: OPTION C

Step-by-step explanation:

2. The parent function of a linear function is the simplest form of a linear function and this is:

f(x)=x.  Because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2

3. If you take the parent function and make f(x)-1, then you have:

f(x)-1=x-1 (The function is shifted down 1 unit on the y-axis).

4. Then you make -2f(x), as following:

y=-2(f(x)-1)=-2x+2 (The function is reflected in the y-axis).

5. That is how you obtain the final function.

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What is the missing length???
Kaylis [27]

Answer:

25

Step-by-step explanation:

144/60 = 2.4

60/2.4 = x

x = 25

8 0
3 years ago
Manuel ate 1 and 3 of a crackers on a plate. his brother ate 1 and 4 of the crackers.there where 5 crackers left on the plate.ho
DENIUS [597]

Answer:

1/3 + 1/4 = 4/12 + 3/12 = 7/12

7/12 =  both brothers ate 7 crackers out of 12 crackers

there were 5 crackers left on the plate means 5/12 crackers left on the plate

answer: 12 crackers at the beginning

Step-by-step explanation:

8 0
3 years ago
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=xy; 6x y=10
Pepsi [2]

There is a <u>maximum</u> value of <u>7/6</u> located at (x, y) = <u>(5/6, 7)</u>.

The function given to us is f(x, y) = xy.

The constraint given to us is 6x + y = 10.

Rearranging the constraint, we get:

6x + y = 10,

or, y = 10 - 6x.

Substituting this in the function, we get:

f(x, y) = xy,

or, f(x) = x(10 - 6x) = 10x - 6x².

To find the extremum, we differentiate this, with respect to x, and equate that to 0.

f'(x) = 10 - 12x ... (i)

Equating to 0, we get:

10 - 12x = 0,

or, 12x = 10,

or, x = 5/6.

Differentiating (i), with respect to x again, we get:

f''(x) = -12, which is less than 0, showing f(x) is maximum at x = 5/6.

The value of y, when x = 5/6 is,

y = 12 - 6x,

or, y = 12 - 6*(5/6) = 7.

The value of f(x, y) when (x, y) = (5/6, 7) is,

f(x, y) = xy,

or, f(x, y) = (5/6)*7 = 7/6.

Thus, there is a <u>maximum</u> value of <u>7/6</u> located at (x, y) = <u>(5/6, 7)</u>.

Learn more about maximum and minimum at

brainly.com/question/2437551


#SPJ4

7 0
2 years ago
U have 10 batteries sitting on your desk, three of which are dead. You choose 2 batteries are random for you calculator. What is
Nesterboy [21]
You have to calculate the expected value of pulling any number of good batteries.
There are 3 bad batteries (B) and seven good batteries (G)
If you pull two batteries the possible number of good batteries you can get are 0, 1 and 2.
GB, BG, GG, and BB
two chances for getting 1, one chance for getting two, and one chance for getting zero.
In order to calculate the expected value you have to first calculate the values of all the possibilities.
(GB = 7/10 x 3/10) (BG = 3/10 x 7/10) (GG = 7/10 x 7/10) (BB = 3/10 x 3/10)
Then take these answers and multiply them by the number of good batteries they each contain and add. (GB is 1 good battery, GG is two, etc.)
1(.21) + 1(.21) + 2(.49) + 0(.09)
The result is 1.4
The expected value of good batteries is 1.4

3 0
3 years ago
Please help me with this problem
Norma-Jean [14]

Answer:

Answer is 544

Hope it helps you

3 0
2 years ago
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