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3 years ago

Find each function it’s equation.

Mathematics

1 answer:

anygoal [31]3 years ago

3 0

Answer:

. image of x under f ). Note: The argument of a function is often referred to as its input, and its image under f as the output. Two functions f and g are equal, written f = g, if and only if their domains are equal and f(x) = g(x) for all x in their common domain. (See “Domain and Range of Functions” below for a discussion of the domain of a function.) ... When x = –5, y = 2(–5) + 1 = –10 + 1 = –9; when x = 3, y = 2(3) + 1 = 6 + 1 = 7; and so forth. For every input, x, the ... 1 5a + 1 − 1 = a ≠ 0 5 a a ...

Step-by-step explanation:

by the way im in 6th and know that so

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FromTheMoon [43]

Answer:

I’m lost

Step-by-step explanation:

3 0

3 years ago

Which shows how to determine the volume of the pyramid? A rectangular pyramid with a base of 8 centimeters by 12 centimeters and

azamat

Answer:

The formula for the volume of a pyramid is one third of the length times the width times the height.

Step-by-step explanation:

thank me later

6 0

3 years ago

Read 2 more answers

Please help me with these calculus bc questions

zhannawk [14.2K]

4. Compute the derivative.

$y = 2x^2 - x - 1 \implies \dfrac{dy}{dx} = 4x - 1$

Find when the gradient is 7.

$4x - 1 = 7 \implies 4x = 8 \implies x = 2$

Evaluate $y$ at this point.

$y = 2\cdot2^2-2-1 = 5$

The point we want is then (2, 5).

5. The curve crosses the $x$ -axis when $y=0$ . We have

$y = \dfrac{x - 4}x = 1 - \dfrac4x = 0 \implies \dfrac4x = 1 \implies x = 4$

Compute the derivative.

$y = 1 - \dfrac4x \implies \dfrac{dy}{dx} = -\dfrac4{x^2}$

At the point we want, the gradient is

$\dfrac{dy}{dx}\bigg|_{x=4} = -\dfrac4{4^2} = \boxed{-\dfrac14}$

6. The curve crosses the $y$ -axis when $x=0$ . Compute the derivative.

$\dfrac{dy}{dx} = 3x^2 - 4x + 5$

When $x=0$ , the gradient is

$\dfrac{dy}{dx}\bigg|_{x=0} = 3\cdot0^2 - 4\cdot0 + 5 = \boxed{5}$

7. Set $y=5$ and solve for $x$ . The curve and line meet when

$5 = 2x^2 + 7x - 4 \implies 2x^2 + 7x - 9 = (x - 1)(2x+9) = 0 \implies x=1 \text{ or } x = -\dfrac92$

Compute the derivative (for the curve) and evaluate it at these $x$ values.

$\dfrac{dy}{dx} = 4x + 7$

$\dfrac{dy}{dx}\bigg|_{x=1} = 4\cdot1+7 = \boxed{11}$

$\dfrac{dy}{dx}\bigg|_{x=-9/2} = 4\cdot\left(-\dfrac92\right)+7=\boxed{-11}$

8. Compute the derivative.

$y = ax^2 + bx \implies \dfrac{dy}{dx} = 2ax + b$

The gradient is 8 when $x=2$ , so

$2a\cdot2 + b = 8 \implies 4a + b = 8$

and the gradient is -10 when $x=-1$ , so

$2a\cdot(-1) + b = -10 \implies -2a + b = -10$

Solve for $a$ and $b$ . Eliminating $b$ , we have

$(4a + b) - (-2a + b) = 8 - (-10) \implies 6a = 18 \implies \boxed{a=3}$

so that

$4\cdot3+b = 8 \implies 12 + b = 8 \implies \boxed{b = -4}$ .

5 0

2 years ago

HURRY BRAINLIEST AND 40 POINTS!!!

poizon [28]

Answer:

Option 3

Step-by-step explanation:

3 × (-4 - n/-2) 《 5

5 is also included, so should be less than equal to 5

8 0

3 years ago

How do I work out the problem 44,756÷167

ArbitrLikvidat [17]

Eazy 44,756
then you do 167 not take 447 the first part of the first number now can 167 go into 447 yes it can then from there wants you have leftover numbers then add 5 to the leftover and see if 167 can go into it from there take the last digit from 44,756 and there you go

8 0

4 years ago