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3 years ago

Which function below has the largest slope?

1 answer:

7 0

To know which function has the largest slope we need to know slope of each one :
$x f(x)

-2 4

4 12 

6 20$
Then calculate: $20-12

---------

6-4$
Now we have $8


-


2$ which is 4, so the we have found slope of f(x)- 4
And the slope of g(x) is 10

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One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the

vitfil [10]

Answer:

2x + 2(x - 3)

Step-by-step explanation:

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3 years ago

A manufacturer of shipping boxes has a box

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3 years ago

Which is the value of this expression when j = negative 2 and k = negative 1?

Natalija [7]

Answer:

Option A.

Step-by-step explanation:

It is given that

$j=-2, k=-1$

The given expression is

$\left(\dfrac{jk^{-2}}{j^{-1}k^{-3}}\right)^3$

Substitute the given values in the above expression.

$\left(\dfrac{(-2)(-1)^{-2}}{(-2)^{-1}(-1)^{-3}}\right)^3$

$\Rightarrow \left(\dfrac{(-2)(1)}{\dfrac{1}{-2}(-1)}\right)^3$

$\Rightarrow \left(\dfrac{-2}{\dfrac{1}{2}}\right)^3$

$\Rightarrow \left(-4\right)^3$

$\Rightarrow -64$

Therefore, the correct option is A.

3 0

4 years ago

Read 2 more answers

A pilot can travel for 140 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the w

quester [9]

Answer:

-88 mph

Step-by-step explanation:

We can use the relation ...

time = distance/speed

to compare the times in the two directions.

$\dfrac{140}{200+w}=\dfrac{360}{200-w}\\\\140(200-w)=360(200+w)\\\\200(140-360)=w(360+140)\\\\w=\dfrac{200(-220)}{500}=-88 \quad\text{miles per hour}$

The wind speed is -88 miles per hour.

_____

The problem statement tells us the travel is slower with the wind than against the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.

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4 years ago

Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

The height of the bullding is 717 ft

Step-by-step explanation:

Right Triangles

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$

Solving for h:

$h = 100\tan 82^\circ$

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0

3 years ago