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olasank [31]
3 years ago
8

Let f(x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes.

Mathematics
1 answer:
lianna [129]3 years ago
5 0

Let f(x) represent a function.

When any number is added or subtracted with f(x) at the end , then f(x) is translated up or down

f(x) + a --> f(x) is translated 'a' units up

f(x) - a --> f(x) is translated 'a' units down

f(x) - 4 -->f(x) is translated 4 units down

When any number is multiplied with f(x), then f(x) is stretches or compress vertically

f(x) --> 4 > 1, f(x) vertically stretched by a factor of 4



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If tñ=2ñ+3, find S10​
Allisa [31]

Answer:

S_{10}=280

Step-by-step explanation:

Given that,

t_n=2n+3 ...(1)

We need to find the value of S_{10}.

Put n = 1 to find the first term.

t_1=2(1)+3=5

Put n = 2 to find the second term.

t_2=2(2)+3=7

Put n = 3 to find the third term.

t_3=2(3)+3=9

Put n = 10 to find the tenth term.

t_{10}=2(10)+3=23

It means we need to find the sum of 5,7,9,.....,23.

The formula for the sum of n terms is given by :

S_=\dfrac{n}{2}(a+a_n)

We have, n = 10, a = 5 and a_n=23

So,

S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280

So, the value of S_{10} is equal to 280.

3 0
3 years ago
Can anyone help me with this problem???
jasenka [17]

Note that x is the hypotenuse of a right triangle. Applying the Pyth. Thm.,


x^2 = 2^2 + 6^2, or x^2 = 4 + 36 = 40.


Thus, the hypotenuse is +sqrt(40), or 2sqrt(10).

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3 years ago
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Alik [6]

Answer:

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Step-by-step explanation:

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marta [7]

9514 1404 393

Answer:

  4/25

Step-by-step explanation:

Put the numbers where the letters are and do the arithmetic.

  \left(2\cdot\dfrac{-1}{2}\cdot\dfrac{2}{5}\right)^2=\left(\dfrac{-2}{5}\right)^2=\dfrac{(-2)^2}{5^2}=\boxed{\dfrac{4}{25}}

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Introduction to the Quadratic Formula
vredina [299]

Answer:

Any questions for us

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