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2 years ago

What is the GCF of the terms of 3x⁴-9x²-12x?

Mathematics

1 answer:

Alexxx [7]2 years ago

3 0

Answer: The GCF of the terms of $3x^4-9x^2-12x$ is $3x$ .

Step-by-step explanation:

We need to find: GCF(Greatest common factor) of the terms of $3x^4-9x^2-12x$ .

The greatest common factor(GCF) is the greatest factor that divides two expressions.

Here,

$3x^4=3\times x \times x \times x \times x \\9x^2=3\times 3 \times x \times x\\12x=3\times 2 \times 2 \times x$

The greatest common factor of $3x^4-9x^2-12x$ = $3x$

Hence, the GCF of the terms of $3x^4-9x^2-12x$ is $3x$ .

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There are 534 car parking spaces but 478 spaces are occupied,round to the nearest 10

suter [353]

Answer:

Step-by-step explanation:

If 478 out of 534 parking spaces are taken, then you will be <u>subtracting</u>. When you subtract 534 and 478 (534-478), then you get 54. Remember 5 and up round to 10. 4 and below round to 0. So 56 rounds to 60 because 6 is greater than 5.

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3 years ago

Algebra public opinion polls reported in newspapers are usually given with a margin of error. for example, a poll with a margin

sweet-ann [11.9K]

Answer:

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - 6.3% * 51% =47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + 6.3% * 51% = 54.213%

Solution:

Margin of error: E=6.3%

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - E * 51%

m=51% - 6.3% * 51%

m=51% - 51% * 6.3 / 100

m=51% - 3.213%

m=47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + E * 51%

M=51% + 6.3% * 51%

M=51% + 51% * 6.3 / 100

M=51% + 3.213%

M=54.213%

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2 years ago

Jace recorded the grade-level and instrument of everyone in the middle school School of Rock below.

Gekata [30.6K]

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3 years ago

Q1 [5]

ValentinkaMS [17]

Answer:

The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer

The width of the river is approximately 51.55 meters

Step-by-step explanation:

The height of the observation tower = 11 meters

The angle of elevation of the cliff top and the opposite side of the river = 20°

The angle of elevation of the tower top and the opposite side of the river = 30°

Therefore, by sine rule, we have;

h/sin(20) = w/sin(60)

11/sin(10) = length, l/sin(60)

l = sin(60) ×11/sin(10) ≈ 54.86 meters

w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters

The width, w, of the river is approximately 51.55 meters.

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3 years ago

How do i graph this function h(x)=-4(x-3)(x-1)

Umnica [9.8K]

Answer:

$h(x)=-4x^{2} + 16x -12$

Step-by-step explanation:

h(x)=-4(x-3)(x-1) Copy the original equation

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$h(x)=-4x^{2} + 16x -12$ Distribute the -4

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2 years ago