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Leni [432]
2 years ago
14

Analyze the graph of the function f(x) to complete the statement.

Mathematics
1 answer:
Burka [1]2 years ago
6 0

The function f(x) is less than 0 at x < -1.8

<h3>How to analyze the graph?</h3>

The missing graph is added as an attachment

The interval where f(x) < 0 are the intervals where the y value of the function is less than 0.

This in other words, represent the negative y-axis

From the attached graph, the function f(x) is less than 0 at x < -1.8.

This extends till x = infinity

Hence, the function f(x) is less than 0 at x < -1.8

Read more about function interval at:

brainly.com/question/27831985

#SPJ1

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Find the inverse of h(x)=(2x-4)/3
Agata [3.3K]

Answer:

The inverse of the h(x) is h^{-1}(x)=\frac{3x}{2}+2           Step-by-step explanation:

Given : Expression h(x)=\frac{2x-4}{3}

To find : The inverse of the expression ?

Solution :

Expression h(x)=\frac{2x-4}{3}

Let, h(x)=y then  y=\frac{2x-4}{3}

For inverse we replace the value of x and y and find the value of y in terms of x.

Replace the value of x and y,

x=\frac{2y-4}{3}

Solve for y by cross multiply,

3x=2y-4

Adding 4 both side,

3x+4=2y

Dividing by 2 both side,

\frac{3x+4}{2}=y

Therefore, The inverse of the h(x) is h^{-1}(x)=\frac{3x}{2}+2

5 0
3 years ago
Read 2 more answers
A ship sails on a bearing of 020° for 30 km.
zepelin [54]

Answer:

The ship travels approximately 10.261 meters to the East.

Step-by-step explanation:

At first we introduce a graphical description of the statement as an attachment below. Let suppose that bearing is respect to the North-direction, then the change in position in the East direction is modelled by the following Trigonometric formula:

x = r\cdot \sin \theta (1)

Where:

r - Distance travelled by the ship, measured in kilometers.

\theta - Bearing angle, measured in sexagesimal degrees.

x - Distance component in the east direction, measured in kilometers.

If we know that r = 30\,km and \theta = 20^{\circ}, then the distance in the East direction is:

x = (30\,km)\cdot \sin 20^{\circ}

x \approx 10.261\,m

The ship travels approximately 10.261 meters to the East.

7 0
3 years ago
Help me with this please ​
rjkz [21]
X=9x y=-2 and the rest is filled in
6 0
3 years ago
The formula for the future value V (in dollars) of an investment earning simple interest is V=p+prt, where p (in dollars) is the
serious [3.7K]

Answer:

A. p=\dfrac{V}{1+rt}

B. $2,307.69

Step-by-step explanation:

You are given the formula

V=p+prt,

where V = investment earning simple interest

p = principal,

r = interest rate

t = time

So,

A. V=p(1+rt)\\ \\p=\dfrac{V}{1+rt}

B. r = 0.06 (or 6% as percent)

V = $3,000

t =5

so,

3,000=p+p\cdot 0.06\cdot 5\\ \\3,000=p+0.3p\\ \\1.3p=3,000\\ \\p=\dfrac{3,000}{1.3}\approx 2,307.69

6 0
3 years ago
Write an algebraic expression for the phrase. the sum of f and 6 f – 6 f + 6 6f
konstantin123 [22]
The sum means adding, so your answer is f + 6
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3 years ago
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