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2 years ago

Let f(x) = x2 – 4, x < 0. What is f-1?

Mathematics

1 answer:

Galina-37 [17]2 years ago

5 0

Answer:

-3

Step-by-step explanation:

f(x) = x2 – 4

replace x with -1

f(-1) = (-1)^2 – 4

= -3

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Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to

Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center $(x_0,y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this problem, we have that the center is at point (0,2), hence:

$x^2 + (y - 2)^2 = r^2$

It goes through point (3,3), hence:

$3^2 + (3 - 2)^2 = r^2$

$r^2 = 10$

Hence, the equation is:

$x^2 + (y - 2)^2 = 10$

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

$y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))$

Applying implicit differentiation, we have that:

$2x + 2y\frac{dy}{dy} = 0$

$\frac{dy}{dx} = -\frac{x}{y}$

Point W(3,3), hence:

$(x_0, y_0) = (3,3)$

$\frac{dy}{dx} = -\frac{3}{3} = -1$

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

5 0

2 years ago

Ella has a collection of vintage action figures that is worth $430. If the collection

valina [46]

The equation representing the value of the collection after 7 years is value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4

<h3>What is an Equation ?</h3>

An equation is a mathematical statement , where the algebraic expression is equated to another algebraic expression.

It is given that

Ella has a collection of vintage action figures that is worth $430.

collection

appreciates at a rate of 4% per year

equation representing the value of the collection after 7 years is

value of collection = 430 + (0.04 * 430 )* t

value of collection = 430 + (0.04 * 430 )* 7

= $550.4

Therefore the equation representing the value of the collection after 7 years is value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4

To know more about Equation

brainly.com/question/2263981

#SPJ1

4 0

2 years ago

Simplify the algebraic expression by combining like (or similar) terms.<br> -7x - 8y- 5x - 6y

stira [4]

Answer:

-12x - 14y

Step-by-step explanation:

First I would move them side by side so I can see it better so:

-7x - 5x - 8y - 6y

now combine the x values together and the y values together:

-12x - 14y

7 0

3 years ago

Read 2 more answers

Use the Distributive Property to expand this expression.

viktelen [127]

Answer:

C is the correct answer

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which equation is true when p=0.6

e-lub [12.9K]

Answer:

Step-by-step explanation:

Its not A because when you plug in 0.6 in for P it gives you 6.6=1.8. (0.6)+6=1.8

Its B because when you plug in 0.6 in for P it gives you 6=6.

10(0.6)=6

Its not C because when you plug in 0.6 in for P it gives you 0.36=10.

0.6(0.6)=10

Its not D because when you plug in 0.6 in for P it gives you -0.4=0.4.

(0.6)-1=0.4

3 0

3 years ago