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4 years ago

Use the figure to complete each statement. a. m

Mathematics

1 answer:

erica [24]4 years ago

4 0

To answer this u need to attach an image or type out the whole thing

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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

Write in simplest form 8/9_5/9

emmasim [6.3K]

Answer: the answer is 1/3

8 0

4 years ago

Solve for x<br> Answer must be simplified<br> x - 6 ≤ 3

Usimov [2.4K]

Answer:

x ≤ 9

Step-by-step explanation:

x - 6 ≤ 3

+ 6 + 6

X ≤ 9

6 0

3 years ago

What is the order of the set A={-1,20,3,17,5}

laiz [17]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~

I'm assuming your talking about least to greatest, OR greatest to least. If so, that's what I'll do...

Least to Greatest: -1, 3, 5, 17, 20

Greatest to Least: 20, 17, 5, 3, -1

~~~~~~~~~~~~

Unfortunately I did not completely understand the question, for future reference please give AS MUCH detail as possible so that your fellow brainly members can help you ASAP...

And thanks for using Brainly!

3 0

4 years ago

consider the graph of the linear equatioin 2x-5y=10. the x intercept is, the y intercept is, the slope is

MAXImum [283]

Answer:

x intercept = (5, 0)

y intercept = (0, -2)

slope = 2/5

Step-by-step explanation:

2x - 10 = 5y

$\frac{2x-10}{5}$ = y

$\frac{2}{5}$ x -2 = y

3 0

3 years ago