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mixas84 [53]
2 years ago
5

Ayuda por favor/Help please

Mathematics
1 answer:
Gnesinka [82]2 years ago
7 0

Answer:

no solution

Step-by-step explanation:

2x + 3x - 60 = 5x

combine like terms

5x - 60 = 5x

subtract like terms (5x-5x = 0)

-60 = 0, which is untrue so there is no solution

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Find the least common multiple of 4 and 10
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20

Step-by-step explanation:

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Find the values of m and b that make the following function differentiable.
KengaRu [80]

f(x)=\begin{cases}x^2&\text{for }x\le2\\mx+b&\text{for }x>2\end{cases}

In order to be differentiable everywhere, f must first be continuous everywhere, which means the limits from either side as x\to2 must be the same and equal to f(2). By definition, f(2)=2^2=4, and

\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2}x^2=4

\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(mx+b)=2m+b

so we need to have 4m+b=4.

For f to be differentiable at x=2, the derivative needs to be continuous at x=2, i.e.

\displaystyle\lim_{x\to2^-}f'(x)=\lim_{x\to2^+}f'(x)

We then need to have

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7 0
3 years ago
The volume of a cone is 31.4 cm3 and the radius is 2 cm. What is the height of the cone? Use 3.14 for π. Round to the nearest te
kupik [55]
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8 0
3 years ago
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One canned juice is 15% orange juice another 10% orange juice. How many liters of each should be mixed together in order to get
Delicious77 [7]
<span>Equation:
0.15x + 0.10(5-x) = 0.11*5
---
Multiply thru by 100:
15x + 10*5 - 10x = 11*5

---
5x = 5
x = 1 liter (amt. 15% oj needed)
----
5-x = 4 liters (amt of 10% oj needed)
======</span>
3 0
3 years ago
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