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3 years ago

How to find the gradient of the line segment joining each pair points?

Mathematics

1 answer:

Art [367]3 years ago

6 0

Answer:

1. -0.66666666666667

2. -1

3. 1.333

4. 1.5

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Consider the quadratic function f(x)=−x^2+x+30

yaroslaw [1]

Answer:

The smallest xx-intercept is $x = -5$

The largest xx-intercept is $x = 6$

The yy-intercept is $y = 30$ .

Step-by-step explanation:

Given a quadratic function in the following format:

$f(x) = ax^{2} + bx + c = 0, a \neq 0$

The x-values of the x-intercepts are $x_{1}, x_{2}$ , given by the following formulas.

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

We have that:

$f(x) = -x^{2} + x + 30$

This is not in the format above. I will multiply by (-1), so we have:

$f(x) = x^{2} - x - 30$

So, $a = 1, b = -1, c = -30$

$\bigtriangleup = b^{2} - 4ac = (-1)^{2} - 4*(1)*(-30) = 1 + 120 = 121$

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) + \sqrt{121}}{2(1)} = \frac{12}{2} = 6$

$x_{2} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) - \sqrt{121}}{2(1)} = \frac{-10}{2} = -5$

This means that

The smallest xx-intercept is $x = -5$

The largest xx-intercept is $x = 6$

The y-intercept is the value of f(x) when x = 0. So

$f(x)=−x^{2}+x+30$

$f(0) = 30$

The yy-intercept is $y = 30$ .

5 0

3 years ago

Can someone please give me the answer?

Vilka [71]

20 mitiplay by 18 thats the answer

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4 years ago

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There are 5 flower gardens in front of the building where Eddie works. Eddie has 40 red and 80 white flowering plants to put in

rosijanka [135]

There will be 24 plants in each garden. 5/40=8 and 5/80=16 then you just add the number of red flowers (8) and the number of white flowers (16).

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3 years ago

Someone please give me this answer

Artemon [7]

D could be at 20 or at -6.

Since C is located at 7, add and subtract 13 in order to get the two locations.

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3 years ago

Luis is saving money to purchase a new video game. He has a total of 30 coins consisting of nickels and dimes. The value of the

madreJ [45]

N + d = 30
0.05n + 0.10d = 2.20

^^ ur system of equations

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3 years ago

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