MATHEMATICS HIGH SCHOOL

Simplify. x+5/x^2+6x+5 1/x+1; where x ≠ -1
1/x+1; where x ≠ -1, -5
1/x-5; where x ≠ 5
x-5

Answers

Answer 1
Answer:

Answer:

The correct option is 2.

Step-by-step explanation:

The given rational expression is

(x+5)/(x^2+6x+5)

Factorize the denominator.

The middle term can be written as 5x+x.

(x+5)/(x^2+5x+x+5)

(x+5)/(x(x+5)+1(x+5))

(x+5)/((x+5)(x+1))

Cancel out the common factors.

(1)/(x+1)

The simplified form of the given expression is (1)/(x+1). The factors of the denominator are (x+5) and (x+1), it means at x=-5 and x=-1, the value of denominator is zero.

The given expression is not defined for x=-1 and x=-5.

Therefore the correct option is 2.
Answer 2
Answer: x+5/x^2+6x+5
x+5/(x+5)(x+1)
1/x+1

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If f(x) = x2 and g(x) = 3x + 1, then g(f(2))= ?
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Answers

We have to consider the Order of Operations
And Divide the question into different parts
So we first do the Exponent: 2^(5) = 32
(3×32-26)=(96-26)=70
Solve the parts in parenthesis 
(8-(4-9)=(8-(-5)=(8+5)=13 (minus and minus becomes addition)
Distribute 7
7(13)=91
Now put the equation and equate everything
(3×2^(5)+13(-2))+7(8-(4-9)=70+91=161
Final Answer=161

= Find the slope of a line that goes through the (-3,2) and (1,5)PLz helpp Im confused on this

Answers

Answer:

The slope is (3)/(4).

Step-by-step explanation:

m=(rise)/(run)=(5-2)/(1+3)=(3)/(4)

Hope this helps.

Answer:

-2/3 (fraction)

Step-by-step explanation:

Which would be appropriate compatible numbers to use to estimate (19 4/5)(4/6)

Answers

Answer:

Approximately 10

Step-by-step explanation:

19 / 5 Approximately 4

4 * 4 = 16

16 * 4 / 64

64 / 6 * = Approximately 10 / 10.6 ish

Actual Answer is 10.133

Percy paid $24.10 for a basketball. The price of the basketball was $22.99. What was the sales tax rate?

Answers

First, determine the difference between the amount Percy paid and the price of the basketball. That is, $24.10 - $22.99 = $1.11. Divide this value by the price of the basketball and multiply the quotient by 100% to get the tax rate. 
                            ($1.11 / $22.99) x 100% = 4.8%
Thus, the sales tax is approximately equal to 4.8%. 

Answer:

4.80%

Step-by-step explanation:

clark left for school at 7:43 am He got to school 36 minutes later. At what time did Clark get to school

Answers

Clark got to school at 8:19 am.  
36 minutes can be split up into 6 minutes and 30 minutes. Six minutes after 7:43 am is 7:49 am. Thirty minutes after 7:49 am is 8:19 am.
Clark got to school at 8:19 am. ------------------ 36 minutes can be split up into 6 minutes and 30 minutes. Six minutes after 7:43 am is 7:49 am. Thirty minutes after 7:49 am is 8:19 am.

Which of the following is a composite number?
A. 19
B. 63
C. 1
D. 0

Answers

Which of the following is a composite number?A. 19
B. 63
C. 1
D. 0
63 is a composite number because it is a whole number that can be divided evenly by numbers other than 1 or itself.
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