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3 years ago

What’s the answer??(SOMEONE PLEASE HELP ME)

Mathematics

1 answer:

Ket [755]3 years ago

8 0

We know that :

If f(x) and g(x) are Two Functions Defined under same Domain, then Composite Function : (f o g)(x) = f(g(x))

Given : f(x) = $\frac{2}{x + 3}$ and g(x) = $\frac{1}{2x}$

⇒ (f o g)(x) = f(g(x))

⇒ $(f\;o\;g)(x) = f(\frac{1}{2x})$

⇒ $(f\;o\;g)(x) = \frac{2}{\frac{1}{2x} + 3} = \frac{4x}{1 + 6x}$

1st Option is the Answer

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A red candle is 8 inches y'all and burns at a rate of 7 divided by 10 inch per hour. A blue candle is 6 inches tall and burns at

lorasvet [3.4K]

Answer:

Both candles will have the same height after 4 hours.

Step-by-step explanation:

The equation for the amount of candle remaining can be given by the following equations:

$Q(t) = Q(0) - at$

In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.

Red candle:

8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that $Q(0) = 8, a = 7/10 = 0.7$ . So

$Q_{r}(t) = 8 - 0.7t$

Blue candle:

6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that $Q(0) = 6, a = 1/5 = 0.2$ . So

$Q_{b}(t) = 6 - 0.2t$

After how many hours will both candles be the same height ?

This is t when

$Q_{r}(t) = Q_{b}(t)$

$8 - 0.7t = 6 - 0.2t$

$0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2$

Multiplying by (-1)

$0.5t = 2$

$t = \frac{2}{0.5}$

$t = 4$

Both candles will have the same height after 4 hours.

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4 years ago

For the equation r/3+t=w express r in terms of t and w

KengaRu [80]

r/3 + t = w to get r by itself (Which I think is your question)

r/3 + t = w subtract t from both sides

r/3 = w - t and times by 3 on both sides

r = 3(w-t)

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4 years ago

How many solutions does this equation have?<br><br> u = -6 + 2u

Lapatulllka [165]

Answer:

No Solution because The Line Is Undefined

Step-by-step explanation:

When graphed You Get An Undefined line meaning The Line Is Straight,Horizontal

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3 years ago

Can someone help me? I’ll mark you!

Vilka [71]

Answer: B

Step-by-step explanation:

Uh... nothing much to say for this one. When you divide with fractions, you always flip the second number. 1/2 flipped is 2/1, or 2. So the final problem is 50x2, which is 100. And yeah, that's all I have to say...

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3 years ago

Read 2 more answers

Please helpppp it has to do with P(A U B)

Katyanochek1 [597]

$P(A)=0.5$ , $P(B)=0.6$ , $P(A\cup B)=0.8$

We find the probability of intersection using the inclusion/exclusion principle:

$P(A\cap B)=P(A)+P(B)-P(A\cup B)=0.3$

By definition of conditional probability,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.3}{0.6}=0.5$

For $A$ and $B$ to be independent, we must have

$P(A\cap B)=P(A)\cdot P(B)$

in which case we have $0.3=0.5\cdot0.6$ , which is true, so $A$ and $B$ are indeed independent.

Or, to establish independence another way, in terms of conditional probability, we must have

$P(A\mid B)\cdot P(B)=P(A)\cdot P(B)\implies P(A\mid B)=P(A)$

which is also true.

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3 years ago