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Studentka2010 [4]
3 years ago
10

What is the difference?

Mathematics
1 answer:
Ganezh [65]3 years ago
7 0

Answer:

\frac{x^2+4x-1}{x(x+2)}

Step-by-step explanation:

Given

\frac{x+5}{x+2} - \frac{x+1}{x^2+2x} ← factor denominator

= \frac{x+5}{x+2} - \frac{x+1}{x(x+2)}

We require the fractions to have a common denominator.

Multiply numerator/denominator of first fraction by x

= \frac{x(x+5)}{x(x+2)} - \frac{x+1}{x(x+2)}

Subtract terms on numerator leaving the common denominator

= \frac{x^2+5x-x-1}{x(x+2)}

= \frac{x^2+4x-1}{x(x+2)}

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The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
Shalnov [3]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

4 \times 19 = 76

The first number is 9, second number 19 and the third number 76.

6 0
3 years ago
Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than
navik [9.2K]

10t = b - 4

12b+8t = $348

This is a system of equations. I’ll be solving through substitution.

In the first equation. solving for b (the easier variable to isolate) gives you:

b = 10t + 4

Substitute this into the second equation:

12(10t+4) +8t = 348

120t+48+8t = 348

128t = 300

t = 2.34375 —> round it to the nearest cent to get 2.34 dollars

b = 10t+4

b = 10(2.34)+4

b = 27.4 dollars

4 0
3 years ago
A rectangle has a length four more than
torisob [31]
L ≥ 5w + 4
2(L+w) ≥ 32

L+w ≥ 16

6w + 4 ≥ 16
6w ≥ 12
w ≥ 2

L ≥ 5w + 4
L ≥ 14

If L = 14 and w = 2 then the perimeter is 32.
These are the smallest dimensions that fit the criteria.

Note: If we raise the width by 1 to w = 3
then the length is at least 19. At 19 by 3 we have P = 44
Like would be appreciated!!
8 0
1 year ago
Find 5(-12)<br> A. -60<br> B. -7<br> C. -50<br> D. 60
erastovalidia [21]

Answer:

The answer is A -60

Step-by-step explanation:

u soppost to multiply 5×-12

7 0
3 years ago
Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both exe
leonid [27]

The event that either M1 or M2 fails has probability

P(M_1\text{ fails or }M_2\text{ fails})=P(M_1\text{ fails})+P(M_2\text{ fails})-P(M_1\text{ and }M_2\text{ both fail})

by the addition rule. Failure events are independent, so

P(M_1\text{ and }M_2\text{ both fail})=P(M_1\text{ fails})P(M_2\text{ fails})

so that

P(M_1\text{ fails or }M_2\text{ fails})=p_1+p_2-p_1p_2

Denote this probability by p. Then X follows a geometric distribution with this parameter p and has density

P(X=x)=\begin{cases}(1-p)^{x-1}p&\text{for }x\ge1\\0&\text{otherwise}\end{cases}

The expectation is \dfrac1p=\dfrac1{p_1+p_2-p_1p_2}.

7 0
4 years ago
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