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worty [1.4K]
3 years ago
5

Determine whether each pair of ratios are equivalent. Explain (3/5),(9/15)

Mathematics
1 answer:
Lyrx [107]3 years ago
6 0
Multiple both ratios by a least common denominator 
the least common denominator for both is 15
multiply the first ratio by 3/3
9/15=9/15 
both are equal because when multiplying by the least common denominator you get the same answer
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Lim t^4 - 6 / 2t^2 - 3t + 7
Harman [31]

I think you meant to say

\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}

(as opposed to <em>x</em> approaching 2)

Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}

6 0
3 years ago
Contains the x intercept of 4x-y=8 and the point (-4,3)
nydimaria [60]
<span>1.       </span><span>4x –y = 8, the point (-4, 3)
Let’s say y = 0
=> 4x – 8
=> 4x / 4 = 8 /4
=> x = 2
So the point is (2 , 0).
Now, we have 2 forms, the (2,0) and the (-4, 3)
=> (y2 – y1)(x2 – x1) = m
=> m = (0 - 3)(2-(-4))
=> m = (0 - 3)(2+4)
=>  m = (-3)(6)
=> m = -1/2
Thus,
y = -1/2x + a
=> 0 = -1 + a so a = 1
y = -x/2 + 1</span>



7 0
4 years ago
Read 2 more answers
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Vikentia [17]
3 less then x.......x - 3
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x - 3 = 13 <==
3 0
3 years ago
Olivia walks up to a tank of water that can hold up to 50 gallons. When it is active, a drain empties water form the tank at a c
agasfer [191]

Answer:

C

Step-by-step explanation:

I got the answer C because if the estimated value of the tank is 50 and it gets drained it will only have 18 gallon in it

8 0
3 years ago
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What is the fraction 2-5 2 on top and 5 on bottom ) equivalent to?
Andrei [34K]

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4 0
3 years ago
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