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2 years ago

What is the graph of the function f(x) = -x^2+x+20/x+4

Mathematics

1 answer:

mr_godi [17]2 years ago

3 0

F(x) = (-x²+x+20) / (x+4)

-x²+x+20 | x+4
+x²+4x -x+5
\\\\ 5x+20
-5x-20
\\\\\\\\\

f(x) = (x+4)(-x+5) / (x+4)

f(x) = (-x+5)

The graph is a decreasing line, with origin from 5.

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Which graph best represents a function with a range of all real numbers less than or<br> equal to 7

Tamiku [17]

Answer:

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Step-by-step explanation:

6 0

2 years ago

40x + 60 = 20. what does x equal?

Elena-2011 [213]

Subtract 60 on both sides to get -40.

You are left with 40x=-40

Divide both sides by 40 to leave x by itself.

You get x=-1.

7 0

3 years ago

Read 2 more answers

2. Given: -2x =4y +62(2y+3) =3x -5What is the solution (x,y)?I

Andrews [41]

this is a 2x2 system of equations.

Let:

-2x = 4y + 6 (1)

and

2(2y+3) = 3x - 5 (2)

Let's rewrite (1) as:

2x + 4y = -6 (1)

and (2) as:

3x - 4y = 11 (2)

Now, from (1)

Let's solve for x:

2x + 4y = -6

Subtract 4y from both sides:

2x + 4y - 4y = -6 - 4y

2x = -6 - 4y

Divide both sides by 2:

2x/2 = (-6 - 4y)/2

x = -3 - 2y (3)

Replacing (3) into (2)

3x - 4y = 11

3(-3 - 2y) - 4y = 11

Using distributive property:

-9 - 6y - 4y = 11

Add like terms:

-10y - 9 = 11

Add 9 to both sides:

-10y - 9 + 9 = 11 + 9

-10y = 20

Divide both sides by -10:

(-10y)/-10 = 20/-10

y = -2

Finally, replace the value of y into (3)

x = -3 - 2y

x = -3 - 2(-2)

x = -3 + 4

x = 1

Therefore the solution is :

x= 1 and y=-2

(x,y) = (1,-2)

7 0

1 year ago

100 points brainliest!!! plz answer all to the best of your ability no links they don't work for me

sveticcg [70]

Answer:

Part I: The degree of a polynomial is the greatest of the degrees of its terms.

Part II: In order to write a polynomial in descending order, you must write the terms with the exponents decreasing from left to right.

Part III: A. -4x² + 11x - 12, degree = 2,

B. 5x³ + 4x + 14, degree = 3.

Step-by-step explanation:

Part I : Since the degree of a polynomial is the highest power of its monomials ( single term ),

e: degree of is 5.

Thus, in part I, the correct option is 'greatest'

Part II: When we write a polynomial then we write the terms of the polynomial in descending order of their degrees.

Thus, in part II the correct option is 'least'

Part III: A.

∵ -4x² has the highest power in the polynomial.

⇒ Degree = 2,

Also, in the polynomial descending order of degrees,

2 > 1 > 0

⇒ polynomial in descending order,

Combining like terms,

∵ 5x³ has the highest degree,

⇒ Degree = 3,

Also, the order of the degrees in the polynomial is,

3 < 2 < 1 < 0

Thus, the polynomial in descending order,

5 0

2 years ago

Determine the domain of the function (f*g)(x) where f(x) =3x-1/x-4 and g(x) =x+1/x

BARSIC [14]

Answer:

Domain = R- {0,4}

Step-by-step explanation:

$f(x) =\frac{3x-1}{x-4}$

$g(x) =\frac{x+1}{x}$

$(f*g)(x)=\frac{3x-1}{x-4} \times \frac{x+1}{x}$

$(f*g)(x)=\frac{(3x-1)(x+1)}{(x-4)(x)}$

In order to function (f*g)x to be defined , the Denominator must not be equal to zero.

Hence

x ≠ 0

(x-4) ≠ 0 ⇒ x≠4

Hence (f*g)x is defined for all values of x except 0 and 4

Hence Domain = R- {0,4}

8 0

3 years ago