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3 years ago

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Use an example to describe the multiplication relationship between two equivalent ratios

2 answers:

kherson [118]3 years ago

4 0

5/10 and 1/2 are both equivalent ratios resulting in half of themselves you can multiply these by any numbers but they will stay as half ratios such as 1:2 x 6 it would be 6:12 divide it by 6 and you have a half

iren [92.7K]3 years ago

4 0

Answer: 6:12

Step-by-step explanation:

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The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f

TEA [102]

According to the graph, we have for $0$

$f'(x)=\begin{cases}x&\text{for }0$

$f'$ is positive for all $0$ , which means $f$ is strictly increasing on the interval [0, 5], and so its minimum value on this interval occurs at $x=0$ .

We can integrate $f'$ along each subinterval above to find $f$ :

$f(x)=\begin{cases}\dfrac{x^2}2+C_1&\text{for }0\le x\le 2\\\\2x+C_2&\text{for }2\le x\le 4\\\\10x-x^2+C_3&\text{for }4\le x\le5\end{cases}$

$f'$ is continuous, which means $f$ is also continuous. This means

$\displaystyle\lim_{x\to2}\left(\dfrac{x^2}2+C_1\right)=\lim_{x\to2}(2x+C_2)$

$\implies2+C_1=4+C_2\implies C_1=2+C_2$

and

$\displaystyle\lim_{x\to4}(2x+C_2)=\lim_{x\to4}(10x-x^2+C_3)$

$\implies8+C_2=24+C_3\implies C_2=16+C_3$

Given that $f(5)=10$ , we have

$10(5)-5^2+C_3=10\implies C_3=-15\implies C_2=1\implies C_1=3$

so that over $0\le x\le 2$ we have $f(x)=\dfrac{x^2}2+3$ . We know the minimum value occurs at $x=0$ , so it is 3 and the answer is A.

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3 years ago

Mary has a collection of nickels and quarters for a total value of 4.90.if she has 42 coins total how many of each kind are ther

Anna007 [38]

Mary has a collection of nickels and quarters for a total value of 4.90.if she has 42 coins total how many of each kind are there

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3 years ago

Please help me thank you! <br><br> ty ty :)

Masja [62]

Answer:

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Step-by-step explanation:

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3 years ago

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MrRissso [65]

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Step-by-step explanation: I subtracted them and got the answer

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3 years ago

I will mark you as the brainiest if you get this correct Thx so much xxx

IRINA_888 [86]

Answer:

the answer is 50/9

other forms

5 5/9

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3 years ago

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