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3 years ago

8

Is this graph a parabola? Plz someone help!! 20pts

1 answer:

vekshin13 years ago

7 0

<h2>Answer:</h2>

<u>Yes </u><u>the graph is a parabola</u>

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

In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped. The trajectory of a projectile always shows parabolic path. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the applications of parabolas.

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Which equation is linear?

MakcuM [25]

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3 years ago

Read 2 more answers

Use a model to divide 2 ÷ 1/3

konstantin123 [22]

Answer:

the answer is 6

Step-by-step explanation: since its a whole number u gotta put a 1 underneath to make it a im proper fraction so it would look like

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3 years ago

1. Refer to the equation 3x − 6y = 18. (a) Create a table of values for at least 4 points. Show your work.

never [62]

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3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

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4 years ago

The product of 216 and j, decreased by 150 is equal to 288

Scrat [10]

The equation would be:
(216 x j) - 150= 288

4 0

3 years ago