What do you mean by coefficient?With example!

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

6 0

Answer: A coefficient refers to a number or quantity placed with a variable

Step-by-step explanation: For example, in the expression 3x, 3 is the coefficient but in the expression x2 + 3, 1 is the coefficient of x2. In other words, a coefficient is a multiplicative factor in the terms of a polynomial, a series, or any expression.

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Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4.

Goshia [24]

$\sqrt{(x_{0} - 0)^{2} + (y_{0} - (-4))^{2}} = |y_{0} - 4|$
<span> $\sqrt{(x_{0} - 0)^{2} + (y_{0} + 4)^{2}} = |y_{0} - 4|$
</span> $(x_{0} - 0)^{2} + (y_{0} + 4)^{2} = (y_{0} - 4)^{2}$
$(x_{0})^{2} + (y_{0} + 4)^{2} = (y_{0} - 4)^{2}$
$x_{0}^{2} + (y_{0}^{2} + 4y_{0} + 4y_{0} + 16) = y_{0}^{2} - 4y_{0} - 4y_{0} + 16$
$x_{0}^{2} + (y_{0}^{2} + 8y_{0} + 16) = y_{0}^{2} - 8y_{0} + 16$
$x_{0}^{2} + y_{0}^{2} + 8y_{0} + 16 = y_{0}^{2} - 8y_{0} + 16$
$x_{0}^{2} + 16y_{0} = 0$
$16y_{0} = -x_{0}^{2}$
$\frac{16y_{0}}{16} = \frac{-x_{0}^{2}}{16}$
$y_{0} = -\frac{1}{16}x_{0}^{2}$
$y = -\frac{1}{16}x^{2}$

The answer is C.

5 0

3 years ago

at the county fair , 12% of the pepole who attended received free water bottels . if 1,500 people receive dfree water bottles ,

sweet-ann [11.9K]

12500 people went to fair

<h3><u>Solution:</u></h3>

Given that at the county fair , 12% of the people who attended received free water bottles

1,500 people received free water bottles

To find: number of peoples went to fair

Let "a" be the number of peoples went to fair

From given information,

12% of the people who attended received free water bottles and 1,500 people received free water bottles

Which means 12% of total people is equal to 1500

12% of total people = 1500

12 % of "a" = 1500

$\frac{12}{100} \times a = 1500\\\\a = 1500 \times \frac{100}{12}\\\\a = \frac{150000}{12} = 12500$

Thus 12500 people went to fair

3 0

3 years ago

This is going to be my 13th reason please help me

aleksley [76]

Answer:

The radius of these cylinders is approximately 1 foot.

Step-by-step explanation:

According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

$V \propto h$