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2 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).

Mathematics

1 answer:

Marat540 [252]2 years ago

6 0

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.

Hence, we can define it as:

(3x - 1) - (x + 2)

= 3x - x - 1 - 2

= 2x - 3

Therefore, (f - g)(x) = 2x - 3.

Hope this helped!

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mr_godi [17]

Answer:

35 or A

Step-by-step explanation:

This is a combinations problem because the order doesn't matter (it's a council, not like president and v.p.). C(7, 3) is 7!/(4!*3!) = 7*6*5/3*2 = 35. Hope this helps! :)

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2 years ago

Expand & simplify 5 ( p + 5 ) + 6 ( p + 6 )

Aloiza [94]

5(p+5) + 6(p+6)

First step: Distribute (PEMDAS --> Parenthesis)

5p + 25 + 6p + 36 Now, combine like terms

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Thus, the answer is 11p + 61

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2 years ago

Read 2 more answers

Determine the perimeter of a square with a diagonal of √72 centimeters

const2013 [10]

The correct answer is 23.6
First find the length of the square root of 72 which is 8.4
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2 years ago

Solve for x in the triangle round your answer to the nearest tenth Pls help ASAP!!

lbvjy [14]

Answer:

x = 3.9

Step-by-step explanation:

cos = adj/hyp

cos67 = x/ 10

x = 10 * cos67

use calculator

x = 3.9

4 0

2 years ago

An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla

Marat540 [252]

Answer:

2.3 degrees.

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.

$tan(\theta)=\frac{60}{1500}$

$\theta=\tan^{-1}(\frac{60}{1500} )$

$\theta=\tan^{-1}(0.04)$

$\theta=2.290610042639$

Therefore, the airplane must ascend 2.3 degrees to clear the pole.

8 0

2 years ago