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8090 [49]
2 years ago
7

5x/x^2-9 + 7/x+3 Simplify

Mathematics
1 answer:
rjkz [21]2 years ago
4 0

5x ÷ x² - 9 + 7 ÷ x + 3

Write the division as a fraction:

\frac{5x}{x^{2} }\\ - 9 + \frac{7}{x} + 3

Simplify the expression:

\frac{5}{x} - 9 + \frac{7}{x} + 3

Calculate the sum:

\frac{5}{x} - 6 + \frac{7}{x}

Write all numerators above the common denominator:

\frac{5 - 6x + 7}{x}

Add the numbers and you get the final answer:

\frac{12-6x}{x}

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Maury completed a bicycle race 1.5 hours faster than Vince at an average speed of 16 miles per hour. Vince completed the same ra
MAXImum [283]
Let the time taken by Vince to complete the race was x hours. 
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.

Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour

Distance = Speed x Time.

For Maury:
Distance = 16(x - 1.5)

For Vince:
Distance = 12x

Since the distance covered by both was the same, we can equate the two equations as:

16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6 
This means Vince complete the race in 6 hours.

Distance = Speed x Time = 12 x 6 = 72 miles

Thus, the total distance of the race was 72 miles. 
3 0
2 years ago
Which of the following is a fifth degree trinomial with a quadratic term and a negative leading
ExtremeBDS [4]
Please enter in a picture
7 0
3 years ago
Show 2 different solutions to the task.
laila [671]

Answer with Step-by-step explanation:

1. We are given that an expression n^2+n

We have to prove that this expression is always is even for every integer.

There are two cases

1.n is odd integer

2.n is even integer

1.n is an odd positive integer

n square is also odd integer and n is odd .The sum of two odd integers is always even.

When is negative odd integer then n square is positive odd integer and n is negative odd integer.We know that difference of two odd integers is always even integer.Therefore, given expression is always even .

2.When n is even positive integer

Then n square is always positive even integer and n is positive integer .The sum of two even integers is always even.Hence, given expression is always even when n is even positive integer.

When n is negative even integer

n square is always positive even integer and n is even negative integer .The difference of two even integers is always even integer.

Hence, the given expression is always even for every integer.

2.By mathematical induction

Suppose n=1 then n= substituting in the given expression

1+1=2 =Even integer

Hence, it is true for n=1

Suppose it is true for n=k

then k^2+k is even integer

We shall prove that it is true for n=k+1

(k+1)^1+k+1

=k^1+2k+1+k+1

=k^2+k+2k+2

=Even +2(k+1)[/tex] because k^2+k is even

=Sum is even because sum even numbers is also even

Hence, the given expression is always even for every integer n.

3 0
3 years ago
What is h(-8)=-2(-8+5)^2 +4
arlik [135]

Answer:

I got a fraction but, H= 7/4

3 0
2 years ago
Given right triangle ABC with altitude BD draw to hypotenuse AC. If AD=13 and DC=33,what is the length of BD in simplest radical
denis23 [38]

Answer:

8.06

Step-by-step explanation:

I used my brain and paper. I don't want to have to explain it anymore sorry but yes I think that is the right answer.

3 0
2 years ago
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