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3 years ago

Can someone please help me

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Symbolab has a calculator that solves problems like that and works it out for you, to help understand it better :)

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For the rational function f(x)=5−xx2+5x+6, find the points on the graph at the function value f(x)=3.

Anit [1.1K]

Given:

The rational function is:

$f(x)=\dfrac{5-x}{x^2+5x+6}$

To find:

The points on the graph at the function value $f(x)=3$ .

Solution:

We have,

$f(x)=\dfrac{5-x}{x^2+5x+6}$

Substituting $f(x)=3$ , we get

$3=\dfrac{5-x}{x^2+5x+6}$

$3(x^2+5x+6)=5-x$

$3x^2+15x+18=5-x$

Moving all the terms on one side, we get

$3x^2+15x+18-5+x=0$

$3x^2+16x+13=0$

Splitting the middle term, we get

$3x^2+3x+13x+13=0$

$3x(x+1)+13(x+1)=0$

$(3x+13)(x+1)=0$

Using zero product property, we get

$(3x+13)=0\text{ or }(x+1)=0$

$x=-\dfrac{13}{3}\text{ or }x=-1$

Therefore, the required values are $-\dfrac{13}{3},-1$ .

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3 years ago

WHICH OF FOLLOWING IS NOT POSSIBLE?

docker41 [41]

Answer:

The answer would be C. An obtuse equilateral triangle :)

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3 years ago

Calculate the slope between the points: (4, -9) and (5, 1)

12345 [234]

Answer:

The answer is A- m=10

Step-by-step explanation:

The way to find slope is known as "Rise over Run" meaning the increase of Y over the increase of X. The increase of Y is 10 because 1 - (-9) = 10. The increase of X is 1 because 5 - 4 = 1. 10 over 1, or 10 / 1, equals 10.

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4 years ago

When trying to write an equation in standard form, you first have to find the slope if it is not given. If the slope ends up bei

Elan Coil [88]

It is neither one. Division by zero is undefined in math, so if the slope ends up being 5/0, the line has undefined slope.

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3 years ago

What are the answers

MArishka [77]

I hope this helps you

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3 years ago