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larisa [96]
4 years ago
9

Simplify:

%29%7D" id="TexFormula1" title="\frac{1}{(x+3)(x+4)} +\frac{2}{(x+4)(x+5)}" alt="\frac{1}{(x+3)(x+4)} +\frac{2}{(x+4)(x+5)}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Harlamova29_29 [7]4 years ago
8 0

Answer:

\frac{3x+11}{(x+3)(x+4)(x+5)}

Step-by-step explanation:

Before adding we require the fractions to have a common denominator.

Multiplying the numerator/ denominator of the first fraction by (x + 5)

Multiplying the numerator/ denominator of the second fraction by (x + 3)

= \frac{x+5}{(x+3)(x+4)(x+5)} + \frac{2(x+3)}{(x+3)(x+4)(x+5)}

Now add the numerators leaving the common denominator

= \frac{x+5+2x+6}{(x+3)(x+4)(x+5)}

= \frac{3x+11}{(x+3)(x+4)(x+5)}

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You order two servings of pancakes and a fruit cup. The cost of the fruit cup is $1.50 you leave a 15% tip. Your total bill is $
soldier1979 [14.2K]
<span>1.       </span><span>Your total cost if 11.50 dollars.
It says that you ordered pancakes and a fruit cup
Pancake costs = x
Fruit cup cost = 1.50 dollars
you leave a tip = 15%

The equation would be:
=> (1.50 + x) .15 = 11.50 dollars
=> x = 11.50 – 1.50 x .15
=>  Now, let’s find the cost of the pancake
=> 11.50 - 1.50 fruit cake = 10
=> 10 x .15 tip = 8.5
Thus, the price of the pancake is 8.5</span>



7 0
3 years ago
If f(x) = x - 2 and g(x) = -6x + 3,<br> which statement is true?
kykrilka [37]

Answer:

  -5 is in the domain of f(g(x))

Step-by-step explanation:

The domain of f(x) is x ≥ 2. The value of g(x) will be ≥ 2 for values of x ≤ 1/6.

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4 0
3 years ago
Round 13.045 to the nearest whole number.
Daniel [21]

Answer:

13. it says nearest whole number.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches.
devlian [24]
S = 2 (lw + lh + hw)
S = 2 ((8.5)(11) + (8.5)(2) + (11)(2))
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6 0
3 years ago
Round 10.95 to the nearest tenth
Serhud [2]

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

<em>Ed: Explanation below.</em>

<em />

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

10.90

If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

Therefore, the answer is 11.

5 0
3 years ago
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