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Lady bird [3.3K]
4 years ago
7

What value is a discontinuity of x squared plus 5 x plus 2, all over x squared plus 2 x minus 35?

Mathematics
2 answers:
iVinArrow [24]4 years ago
6 0
The value of discontinuity is x= -7, x= 5
Aleksandr-060686 [28]4 years ago
6 0

Answer:

x=-7 and x=5.  

Step-by-step explanation:

We have been given a rational function: f(x)=\frac{x^2+5x+2}{x^2+2x-35}. We are asked to find the points at which our function is discontinuous.

A rational function is discontinuous when the function is undefined or the denominator is zero.

Let us find what values of x will make our denominator zero.

x^2+2x-35=0

We will use factoring to find the zeros of x. By splitting the middle term we will get,

x^2+7x-5x-35=0

x(x+7)-5(x+7)=0

(x+7)(x-5)=0

(x+7)=0\text{ or }(x-5)=0

x=-7\text{ or }x=5

Therefore, at x equals -7 and x equals 5 our function is discontinuous.

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The sum of two numbers is 840. one of the numbers is 357. what is the other number?​
nlexa [21]

Answer:

483

Step-by-step explanation:

840 minus 357 is 483

5 0
3 years ago
{x{ x + 4<0 or 6x>-12)
lora16 [44]

Answer:

x\in (-\infty , -4) \cup (-2,+\infty)

Step-by-step explanation:

Solve the system of inequalities:

x + 4 < 0

OR:

6x > -12

The first inequality yields the solution:

x < -4

The second inequality gives the solution:

x > -2

The total solution is the disjunction of the individual solutions, i.e., the union of both.

It can be expressed as

\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}

4 0
3 years ago
What expression is equivalent to 5 (x+6)-2x+9.
myrzilka [38]
5x+30- 2x+9

3x+39 is the expression.
7 0
3 years ago
Plz help ASAP! I will mark brainliest if correct
MaRussiya [10]
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A = L^2 = 20
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5 0
3 years ago
Read 2 more answers
Katie gives Maggie half of her pencils. Maggie keeps 5 pencils and gives the rest to Jamil. A. Write an expression for the numbe
Alexandra [31]

Here's what I mean when I write <em>x/</em><em>2</em><em> </em><em>JUST </em><em>IN </em><em>CASE.</em>

а.

Let the total number of pencils be x, then this implies that Maggie received <em>x/</em>2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means

that Jamil receives

<em>x/</em>2-5 pencils.

b. Expression of pencils given to Jamil is: <em>x/</em>2-5

Substitute <em>x</em><em>=</em><em>1</em><em>6</em><em> </em>in this expression: <em>x/</em>2-5

Simplify and evaluate: = 8-5= 3

Maggie gives 3 pencils to Jamil.

c. Expression of pencils given to Jamil is: x/2-5 to

Equate this expression with 1 to form an equation and solve for <em>x</em> all, the total

number of pencils if Jamil received 1 pencil:

<em>x/</em>2 - 5 = 1

Solve for x:

<em>x</em> = 2(1+ 5)

Evaluate:

<em>x</em> = 2(6) = 12

Katie had 12 pencils if Jamil received 1 pencil.

RESULT

a. Expression of number of pencils given to Jamil is <em>x</em>/2-5, where x is total number of pencils.

b. Maggie gives 3 pencils to Jamil.

c. Katie had 12 pencils if Jamil received 1 pencil.

5 0
3 years ago
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