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3 years ago

Dividing and multiplying complex numbers.

Mathematics

1 answer:

rusak2 [61]3 years ago

6 0

See attached picture for answers. Not 100% sure on the last one

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Given that y varies directly as x and y = 18 when x = 6

sergey [27]

Answer: y = 15, x = 10

Step-by-step explanation:

NOTE: "varies directly" is of the form $\dfrac{y}{x}=k$ where k is the constant of proportionality.

First, input the given x and y-values to find k

$\dfrac{y}{x}=k\qquad \qquad \text{Given: y=18, x=6}\\\\\dfrac{18}{6}=k\\\\\boxed{3=k}$

Next, input the given value and k = 3 to solve for the missing variable.

$x = 5\\\\\dfrac{y}{5}=3\\\\\large\boxed{y = 15}\\\\\\y=30\\\\\dfrac{30}{x}=3\\\\\dfrac{30}{3}=x\\\\\large\boxed{10 = x}$

4 0

4 years ago

A. Y = 1/3(3)^x B. Y= 3(1/3)^x C. Y= (1/2)^x +2 D. Y=(2)^x - 1

Dimas [21]

Answer:

Step-by-step explanation:

Look at the graph, it passes to (0,3), so you need to replace that coordinate into A,B,C,D. Then you can see, there is only B and C satisfies.

$Y=3(\frac{1}{3} )^{0}=3.1=3.$

and

$Y=(\frac{1}{2} )^{0}+2=1+2=3$

Next step, you can see when x approach to infinite then Y approach to 0.

Hence, we will take limit of B and C, if limit B or C equals to 0 then we will choose.

$\lim_{x \to \infty} {3(\frac{1}{3})^x=3. \lim_{x \to \infty} {(\frac{1}{3})^x=3.0=0$

and

$\lim_{x \to \infty} {[(\frac{1}{2})^x+2]}= \lim_{x \to \infty} {(\frac{1}{2})^x}+ \lim_{x \to \infty} {2}=0+2=2$

We can see that only B is satisfied.

3 0

3 years ago

Convert 36/10 into a mixed number

Alexandra [31]

3 6/10 or simplified 3 3/5

3 0

4 years ago

Read 2 more answers

A man buys a horse for $60

vodomira [7]

Apparently, Lil Nas X here made like $10 from repeatedly selling and buying his horse...

5 0

3 years ago

9/10+7/100 WHAT DOES THE EQUAL

soldier1979 [14.2K]

Answer:

97/100

Step-by-step explanation:

9/10 = 90/100

90/100 + 7/100 = 97/100

3 0

3 years ago