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3 years ago

Choose the correct simplification and demonstration of the closure property given: (2x3 + x2 − 4x) − (9x3 − 3x2).

Mathematics

1 answer:

Leni [432]3 years ago

3 0

Answer:

Step-by-step explanation:

(2x^3+x^2-4x)-(9x^3-3x^2)

2x^3-9x^3+x^2-(-3x^2)-4x

-7x^3+x^2+3x^2-4x

-7x^3+4x^2-4x

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Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx

aalyn [17]

Answer:

$\large\boxed{f^{-1}(x)=h(x)=\dfrac{1}{4}x}$

Step-by-step explanation:

$f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x}{4}\\\\y=\dfrac{1}{4}x$

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3 years ago

Read 2 more answers

Two tapes, red and green, with lengths of 415 feet and 780 feet respectively are to be cut into pieces of equal length without r

ICE Princess25 [194]

Answer:

The greatest possible length of the pieces is 5 feet

Step-by-step explanation:

Red = 415 feet

Green = 780 feet

Find the greatest possible length of the pieces.

Find the Highest common factor

415 = 1, 5, 83, 415

780 = 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390 and 780

The Highest common factor of 415 and 780 is 5

The greatest possible length of the pieces is 5 feet

Red = 415/5

= 83 pieces

Green = 780/5

= 156 pieces

3 0

3 years ago

Write repeating decimal 0.027272727 ... as a fraction.

11111nata11111 [884]

Answer:

27/100

Step-by-step explanation:

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4 years ago

Use Euler’s Formula to find the missing number. Faces: 8 Edges: _____ Vertices: 6

taurus [48]

Answer:

The number of edges is $E=12$

Step-by-step explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

$V- E + F = 2$

In this problem we have

$F=8, V=6$

substitute and solve for E

$6- E + 8 = 2$

$E=6 + 8 -2=12$

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4 years ago

What is the value of y

AVprozaik [17]

Answer:

D) 44°

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles

y + y = 88

2y = 88

y = 44

6 0

3 years ago