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pochemuha
3 years ago
8

Let ƒ(x) = x2 + 2x and g(x) = 2x. Evaluate the composition (ƒ ∘ g)(2).

Mathematics
2 answers:
Mademuasel [1]3 years ago
8 0

Step-by-step explanation:

(ƒ ∘ g)(x)

= ƒ(2x)

= (2x)² + 2(2x)

= 4x² + 4x.

Therefore (ƒ ∘ g)(2) = 4(2)² + 4(2) = 16 + 8 = 24.

Juli2301 [7.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

g(2) = 2(2)= 4

f(4) = 4^2 + 2(4) = 16 + 8 = 24

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The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M′?
fredd [130]
B) (-4, -4)

When moving to the right you are moving to a more POSITIVE region on the x-axis; meaning, the y-value (vertical axis) does not get affected unless you’re moving up or down.

Remember: (-6, -4)
X = -6
Y = -4

If you move 2 units to the right (x-axis) you go from -6 + 2 which equals -4. And again, you’re not moving up and down so your
y-value stays the same and your new coordinates are (-4, -4)
7 0
3 years ago
A bicycle is traveling at 22 miles per hour. How many feet will it cover in 45 seconds? Round your answer to the nearest tenth o
puteri [66]
  • Answer:

<em>1452 feet</em>

  • Step-by-step explanation:

<em>1 hour = 60min×60sec = 3600 sec</em>

<em>1 miles = 5280 feet</em>

<em>22 miles = 22×5280ft = 116160 ft</em>

<em />

<em>3600sec ................. 116160 ft</em>

<em>45sec ................................ x ft</em>

<em>x = 45×116160/3600</em>

<em>= 5227200/3600</em>

<em>= 1452 feet</em>

7 0
3 years ago
Is parallelogram ABCD a rectangle?
Fantom [35]

Answer:

No

Step-by-step explanation:

Sides AB to DC aren't congruent/parallel

Sides BC to AD aren't congruent/parallel

6 0
3 years ago
Find the area?<br> Show work
Ivenika [448]

Answer:

294 square units

Step-by-step explanation:

35^2-21^2=a^2

a^2=784

square root 784=28

21*28/2=294

Answer=294

4 0
3 years ago
Can someone solve this?
romanna [79]

Answer:

u=4

v=2√3

Step-by-step explanation:

The 30-60-90 triangle theorem states that the shortest side of a triangle is half of the hypotenuse, so 2*2=4. So, the hypotenuse, <em>u</em>, is 4.

The longest leg is √3 times greater than the shortest leg, so 2*√3=2√3. So, the longest leg, <em>v</em>, is 2√3.

4 0
2 years ago
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