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3 years ago

Determine the function which corresponds to the given graph. The asymptote is x = -1.

Mathematics

1 answer:

mixas84 [53]3 years ago

4 0

Answer:

y = log(x + 1)

Step-by-step explanation:

Given graph represents a logarithmic graph.

Let the equation of the graph is represented by the logarithmic graph,

y = log(x + b)

This graph passes through origin (0, 0),

For the given point (0, 0),

0 = log(0 + b)

log(1) = log(b)

b = 1

Therefore, the function that corresponds the graph will be,

y = log(x + 1)

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A plane flies from Springville to Brockton and then back to Springville. When there is no wind, the round trip takes 6 hours and

ch4aika [34]

Answer:

Step-by-step explanation:

Let x represent the speed of the plane in still air.

When there is no wind, the round trip takes 6 hours and 24 minutes. Converting to hours, it becomes

6 + 24/60 = 6 + 0.4 = 6.4 hours

Distance = speed × time

Distance of the round trip = 6.4x

But when there is a wind blowing from Springville to Brockton at 50 miles per hour, the trip takes 6 hours and 40 minutes. Converting 6 hours and 40 minutes, it becomes

6 + 40/60 = 6 2/3 = 20/3 hours

The total speed would be

(x - 50)miles per hour

Distance covered = 20/3(x - 50)

Therefore, since both round trips are the same distance, then,

6.4x = 20/3(x - 50)

Cross multiplying by 3, it becomes

19.2x = 20(x - 50)

19.2x = 20x - 1000

20x - 19.2x = 1000

0.8x = 1000

x = 1000/0.8 = 1250 mph

Distance covered on the round trip is

6.4x = 6 × 1250 = 7500 miles

Therefore, the distance from Springville to Brockton is

7500/2 = 3750 miles

7 0

3 years ago

If an angle has a measure of 107 degree what is the measure of its supplement

elixir [45]

180-107=73
73 degrees is the measure of the suppplement

4 0

3 years ago

Here is an illustration of a bedroom. The striped wall and the floor intersect at a

-Dominant- [34]

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

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

An angle is formed when two or more lines intersect at a point. Types of angles are acute, obtuse, and right angled.

Two lines are said to be perpendicular if there is a 90 degrees angle between them.

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

Find out more on angle at: brainly.com/question/25716982

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5 0

2 years ago

You are buying shirts for an organization. You have $120 to spend. The number of short-sleeved shirts y you buy after buying x l

Makovka662 [10]

The given equation is ⇒ y = -1.2 x + 24

Part A : Graph the equation.

To graph the equation, substitute with values of x then find y

The attached figure represents the table to graph the equation and the graph of the equation.

=============================================

Part B : x-intercept

To find x-intercept substitute with y = 0 and solve for x

∴ 0 = -1.2 x + 24

∴ 1.2 x = 24

∴ x = 24/1.2 = 20

x-intercept is at point (20,0)

==================================================

Part C : y-intercept

To find y-intercept substitute with x = 0 and solve for y

∴ y = -1.2 * 0 + 24

∴ y = 24

∴ y-intercept is at point (0,24)

5 0

4 years ago

Helpp!!!! Give the relation and identify the x and y axis intercepts.

densk [106]

Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

$y = x^2 - 8 x + 12$

To get the x intersept put y = 0

$x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6$

So, the intersepts are

(2, 0) and (6, 0)

8 0

3 years ago