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2 years ago

14

The area of a rectangular garden 42 square meters. The width is 5 meters longer than one-third of the length. Find the length an

d the width of the garden Use the formula, area =length x width

1 answer:

yan [13]2 years ago

4 0

The width is 9 the length is 12

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A school library has 260 DVDs in its collection. Given that 45% of the DVDs are about science and 40% or about history how many

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39 DVDs are about other subjects

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3 years ago

Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the

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Answer:

Option D) h(x), f(x), g(x)

Step-by-step explanation:

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex of the parabola

Part 1) we have

$f(x)=4x^{2} -1$

This is a vertical parabola open upward

The vertex is a minimum The vertex is the point (0,-1)

The x-coordinate of the vertex is 0

so

The axis of symmetry is x=0

Part 2) we have

$g(x)=x^{2}-8x+5$

This is a vertical parabola open upward

The vertex is a minimum

Convert the equation into vertex form

$g(x)-5=x^{2}-8x$

$g(x)-5+16=x^{2}-8x+16$

$g(x)+11=x^{2}-8x+16$

$g(x)+11=(x-4)^{2}$

$g(x)=(x-4)^{2}-11$

The vertex is the point (4,-11)

The x-coordinate of the vertex is 4

so

The axis of symmetry is x=4

Part 3) we have

$h(x)=-3x^{2}-12x+1$

This is a vertical parabola open downward

The vertex is a maximum

Convert the equation into vertex form

$h(x)-1=-3x^{2}-12x$

$h(x)-1=-3(x^{2}+4x)$

$h(x)-1-12=-3(x^{2}+4x+4)$

$h(x)-13=-3(x+2)^{2}$

$h(x)=-3(x+2)^{2}+13$

The vertex is the point (-2,13)

The x-coordinate of the vertex is -2

so

The axis of symmetry is x=-2

Part 4) Rank their axis of symmetry from least to greatest

1) h(x) -----> axis of symmetry -2

2) f(x) -----> axis of symmetry 0

3) g(x) -----> axis of symmetry 4

so

h(x),f(x),g(x)

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3 years ago

A city issues 3-digit license plates for motorized scooters. The digits 0-9 are chosen at random by a computer program. What is

dimaraw [331]

Answer:

80/111

Step-by-step explanation:

For starters, since it is 3 digits inclusive of 0, from 0 - 9, then there are 1000 possible total plate combination from 000 - 999.

If no number is expected to be repeated in the combination, then there exists 10 numbers(say 0-9) for the first digit, 9 numbers(say 1-9) for the second digit and 8 numbers(1-8) for the third digit.

This means that there will be 10 * 9 * 8 total possible outcomes. Considering that the possible combinations is 999, then the probability is

10 * 9 * 8 = 720/999

And that is simplified to 80/111

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2 years ago

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D. word count has no apparent relationship to the score of the essay

Step-by-step explanation:

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