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3 years ago

Identify the variation as direct, inverse, joint or combined. y = cx²

Mathematics

2 answers:

bija089 [108]3 years ago

7 0

Y varies directly with x squared

viva [34]3 years ago

4 0

Answer:

combined variation

Step-by-step explanation:

we have

$y=cx^{2}$

we know that

a) in the interval ----> (0,∞)

If the value of x increase the value of y increase

Is a direct variation

b) in the interval ----> (-∞,0)

If the value of x increase the value of y decrease

Is a inverse variation

therefore

Is a combined variation

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Answer question 4 pls for math

brilliants [131]

Answer:

Rule: y = 2x

m = 2

b = 0

Step-by-step explanation:

(17, 34) and (22, 44)

Slope:

m=(y2-y1)/(x2-x1)

m=(44-34)/(22-17)

m= (10)/5

m = 2

Slope-intercept:

y - y1 = m(x - x1)

y - 34 = 2(x - 17)

y - 34 = 2x - 34

y = 2x

y = mx + b

y = 2x

b = 0

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3 years ago

Is (1, 2) a solution to the inequality 6x - y> 3?

Lostsunrise [7]

Answer:

Yes.

Step-by-step explanation:

To find the answer we will put it into the equation, since x = 1 and y = 2 we will write it like this, 6(1) - 2 > 3. Since 6 x 1 = 6, we will now subtract 6 from 2 which equals 4. Therefore, the equation is correct because 4 is bigger than 3.

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3 years ago

Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this

Firlakuza [10]

The amount of substance left of a radioactive element of half life, $t_{\frac{1}{2}}$ after a time, t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{ \frac{1}{2} }}$

Given that potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

$0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\ \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\ \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\ \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\ \\ t=9.966(1.25)=12.5$

Therefore, the maximum age of a fossil that we could date using 40k is 12.5 billion years.

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emmasim [6.3K]

Answer:

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Step-by-step explanation:

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Answer:

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