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andrew11 [14]
3 years ago
6

What is the value of the rational expression x^2-2x-3/4x^2 when x=3?

Mathematics
2 answers:
yarga [219]3 years ago
6 0

Answer:

Value of the rational expression is 0 at x = 3.

Step-by-step explanation:

The given rational expression is \frac{x^{2}-2x-3

Step-by-step explanation:

melamori03 [73]3 years ago
3 0

Answer:

0

Step-by-step explanation:

Substitute x = 3 into the rational expression

\frac{3^2-2(3)-3}{4(3)^2}

= \frac{9-6-3}{4(9)}

= \frac{0}{36}

= 0

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Gerald has a punch bowl in the shape of a hemisphere as shown below.
zmey [24]

The closest to the maximum number of cups the punch bowl can hold is 30

<h3>How to determine the number of cups?</h3>

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

V = \frac{2}{3}\pi r^3

This gives

V = \frac{2}{3}\pi * 6^3

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30

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6 0
2 years ago
Please help me out.​
grandymaker [24]

Answer:

it's 4

Step-by-step explanation:

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6 0
3 years ago
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Using the order of operations rule, solve the following: 12 ÷ 2 + 4 – 2 × 3 = ? A. 36 B. 0 C. 4 D. 24 Mark for review
AlexFokin [52]
<h2>Answer:</h2>

<u>The answer is </u><u>(C) 4</u>

<h2>Step-by-step explanation:</h2>

According to the rule of BODMAS

We will first do division then Multiplication then addition and in the last we do subtraction

So

12 ÷ 2 + 4 – 2 × 3 will be done as

= (12 ÷ 2) + 4( – 2 × 3)

= 6+4-6

= 4

5 0
3 years ago
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The first term of a gemotetric sequence is -15 and the common ratio is 6 What is the twelfth term of the sequence
nikklg [1K]

Answer:

Step-by-step explanation:

a₁₂ = a₁r¹²⁻¹ = -15×6¹¹

8 0
3 years ago
1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
mart [117]

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

h(t) = -6t^2 + 13t + 5

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

-6t^2 + 13t + 5 = 0

Expand the expression

-6t^2 + 15t- 2t + 5 = 0

Factorize the above expression

-3t(2t - 5)- 1(2t - 5 )= 0

Factor out 2t - 5 in the 2t - 5

(-3t - 1)(2t - 5 )= 0

Split the equation into 2

-3t - 1 = 0\ or\ 2t - 5= 0

Rewrite as:

-3t = 1\ or\ 2t = 5

Solve for t

t = -\frac 13\ or\ t = \frac 52

The value of t cannot be less than 0 i.e. negative.

So, we have

t = \frac 52

Divide 5 by 2

t = 2.5

Hence, the balloon will splat on the ground after 2.5 seconds

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6 0
3 years ago
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