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3 years ago

F(x) = x2 - 5

Mathematics

2 answers:

Rudik [331]3 years ago

8 0

Hope this will help u......

marysya [2.9K]3 years ago

5 0

Answer:

[-1, 3, 9]

Step-by-step explanation:

when x = 2: 4-5 = -1

when x = 4: 8-5 = 3

when x = 7: 14-5 = 9

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Triangle ABC has vertices A(–1, 0), B(4, 0), and C(2, 6). If ΔABC is translated using the function rule (x, y) → (x – 6, y – 5)

Elina [12.6K]

Answer:

b. A''(7, 5), B''(2, 5), C''(4, –1)

Step-by-step explanation:

Given vertices of ΔABC:

A = (-1, 0)
B = (4, 0)
C = (2, 6)

Translation mapping rule:

(x, y) → (x – 6, y – 5)

Therefore:

A' = (-1 - 6, 0 - 5) = (-7, -5)
B' = (4 - 6, 0 - 5) = (-2, -5)
C' = (2 - 6, 6 - 5) = (-4, 1)

Rotation of 180° clockwise rule:

(x, y) → (-x, -y)

Therefore:

A'' = (-7, -5) = (7, 5)
B'' = (-2, -5) = (2, 5)
C'' = (-4, 1) = (4, -1)

Learn more about transformations here:

brainly.com/question/28354239

brainly.com/question/27743837

5 0

1 year ago

How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$

6 0

2 years ago

What is the length of any side of equilateral triangle TUV? a. 7 b. 15 c. 20 d. 24

NikAS [45]

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6 0

2 years ago

Jerry has 6 candys he lost 2 how much does he have?

Aleksandr-060686 [28]

Answer:

Hello there!

Since he had 6 candies and lost two, all you have to do is subtract 2 from 6.

Therefore, Jerry only has 4 candies.

Hope this helps!!!

Step-by-step explanation:

5 0

3 years ago