All categories

3 years ago

Find inverse of y=1/2x+3

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

8 0

Answer: f⁻¹(x)=2x-6

Step-by-step explanation:

To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.

y=1/2x+3 [replace y with x and x with y]

x=1/2y+3 [subtract both sides by 3]

x-3=1/2y [multiply both sides by 2]

y=2(x-3) [distribute]

y=2x-6

Now, we know the inverse function is f⁻¹(x)=2x-6.

You might be interested in

Pls help with 7 and 8 pls thanks

Nastasia [14]

-3 1/12 should be your main answer :3

4 0

2 years ago

Please Help:<br> In Δ ABC, sin A= 88, sin B= 42, and a =17 , find the length of b.

enyata [817]

Answer:

11.4 units

Step-by-step explanation:

a/sinA = b/sinB

17/sin(88) = b/sin(42)

b = sin(42) × 17/sin(88)

b = 11.3821540088

6 0

3 years ago

A football coach set a goal of keeping opposing teams to an average of less than 200 yard. of total offense each game. After thr

faust18 [17]

(701+y)/(3+1)<200

(701+y)/4<200

701+y<800

y<99

So the most yards they can allow in the next game is 98 yards

6 0

3 years ago

The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

$sin\theta_1 = - \frac{2\sqrt{70}}{19}$

Step-by-step explanation:

We are given that $\theta_1$ is in <em>fourth</em> quadrant.

$cos\theta_1$ is always positive in 4th quadrant and

$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$

$\theta_1$ is in <em>4th quadrant </em>so $sin\theta_1$ is negative.

So, value of $sin\theta_1 = - \frac{2\sqrt{70}}{19}$

6 0

2 years ago

Question 1

PilotLPTM [1.2K]

The true statement about why the Fibonacci sequence is recursively defined is (c) The Fibonacci sequence is recursively-defined because you must know the values of the two previous terms in order to find the value of the next term

<h3>How to determine the true statement</h3>

With an exception to the first two terms, each term of the Fibonacci sequence is the sum of the two previous terms

This means that,

The Fibonacci sequence cannot be defined explicitly, because the two previous terms can not be determined by a direct formula

Hence, the true statement about why the Fibonacci sequence is recursively defined is (c)

Read more about the Fibonacci sequence at:

brainly.com/question/16934596

8 0

2 years ago