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3 years ago

Help with #4 pls........

Mathematics

1 answer:

Anna [14]3 years ago

7 0

Its D or B because it talks about how low its gonna be or higher :P

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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

Pls help me, here's the screenshot and see how y'all can help me

Vladimir79 [104]

<h3>The y intercept is -1</h3>

We can say that the y intercept is at the location (0,-1)

This is where the graph crosses the vertical y axis. This is 1 unit below the origin.

This is assuming each tickmark on the grid represents 1 unit.

7 0

3 years ago

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If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?

DIA [1.3K]

The answer is x-2 or....

7 0

3 years ago

How many miles are equivalent to 800 meters

Lubov Fominskaja [6]

Answer:

Half a mile

Step-by-step explanation:

A mile is 1600 meters so half a mile is 800 meters

4 0

3 years ago

PLEASE HELP (PRIME NUMBERS) <br> DUE MONDAY 27th SEPTEMBER

AVprozaik [17]

36/3=12

12/6=2

2x3=6

so first box is 12, second is 2, last one is 3

4 0

3 years ago

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