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2 years ago

13

PLEASE HELP WILL MARK BRAINLIEST

1 answer:

Verizon [17]2 years ago

8 0

Four different ways to solve a quadratic equation are factoring, completing the square, quadratic formula, and graphing. all methods start with setting the equation equal to zero.

to determine the zeros of a quadratic graph, find the points where the graph of the quadratic equation crosses the x-axis. to determine the vertex, you convert the quadratic form to vertex form, you use this process of completing the square. to determine the axis of symmetry, you cut the graph vertically to see the symmetrical sides.

hope this helps, God bless!

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Year 8 maths Finding the rule using a table of values

Aleksandr [31]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)

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(b)

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3 0

2 years ago

The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 900x − 40000, where x is the average number of tours he

shtirl [24]

Solving the quadratic function, it is found that the range is of:

between 200 and 250; inclusive

The profit for x tours is modeled by the following equation:

$p(x) = -2x^2 + 900x - 40000$

It is concave down, so the monthly profit will be of at least $60,000 between the two roots when $p(x) = 60000$ . Thus:

$60000 = -2x^2 + 900x - 40000$

$2x^2 - 900x + 10000 = 0$

Simplifying by 2:

$x^2 - 450x + 50000 = 0$

Which has $a = 1, b = -450, c = 50000$

Then:

$\Delta = (-450)^2 - 4(1)(50000) = 2500$

$x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250$

$x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200$

At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:

between 200 and 250; inclusive

A similar problem is given at brainly.com/question/25181401

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2 years ago