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2 years ago

If f(x)=3/4 and g(x)=3x which statement is true trust me I've tried

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

6 0

The answer is D.

f(x) = 3/x
g(x) = 3x

(g * f)(-9) = 3(3/-9)
(g * f)(-9) = 3(-1/3)
(g * f)(-9) = -1

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One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air

Lisa [10]

Answer:

$P(A) = 0.45$

$P(B) = 0.32$

Step-by-step explanation:

Given

$P(A) > P(B)$

$P(A\ u\ B) = 0.626$

$P(A\ n\ B) = 0.144$

Required

Find P(A) and P(B)

We have that:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

and

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

The equations become:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

$0.626 = P(A) + P(B) - 0.144$

Collect like terms

$P(A) + P(B) = 0.626 + 0.144$

$P(A) + P(B) = 0.770$

Make P(A) the subject

$P(A) = 0.770 - P(B)$

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

$0.144 = P(A) * P(B)$

$P(A) * P(B) = 0.144$

Substitute: $P(A) = 0.770 - P(B)$

$[0.770 - P(B)] * P(B) = 0.144$

Open bracket

$0.770P(B) - P(B)^2 = 0.144$

Represent P(B) with x

$0.770x - x^2 = 0.144$

Rewrite as:

$x^2 - 0.770x + 0.144 = 0$

Expand

$x^2 - 0.45x - 0.32x + 0.144 = 0$

Factorize:

$x[x - 0.45] - 0.32[x - 0.45]= 0$

Factor out x - 0.45

$[x - 0.32][x - 0.45]= 0$

Split

$x - 0.32= 0 \ or\ x - 0.45= 0$

Solve for x

$x = 0.32\ or\ x = 0.45$

Recall that:

$P(B) = x$

So, we have:

$P(B) = 0.32 \ or \ P(B) = 0.45$

Recall that:

$P(A) = 0.770 - P(B)$

So, we have:

$P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45$

$P(A) = 0.45 \ or\ P(A) =0.32$

Since:

$P(A) > P(B)$

Then:

$P(A) = 0.45$

$P(B) = 0.32$

6 0

2 years ago

1 yard = 3 feet & 1 foot = 12 inches<br><br>39 ft= ?

Alekssandra [29.7K]

Answer:

39 ft = 468 in

39 ft = 13 yd

5 0

3 years ago

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If the answer to a maths question is 4,

Westkost [7]

Answer:

John and Mike are correct, Henry is incorrect.

Step-by-step explanation:

Try to find x = 4 for all the equations to find out who is correct.

John:

4x + 4 + 7x = 48

Combine like terms.

11x + 4 = 48

Subtract 4 from both sides.

11x = 44

Divide both sides by 11.

x = 4

John is correct.

Mike:

2x + 3 = 11

Subtract 3 from both sides.

2x = 8

Divide both sides by 2.

x = 4

Mike is correct.

Henry:

8x + 7 = 71

Subtract 7 from both sides.

8x = 64

Divide both sides by 8.

x = 8

Henry is incorrect.

7 0

3 years ago

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1/8+c=4/5 jus need to answer

USPshnik [31]

1/8 + c = 4/5
c = 4/5 - 1/8
c = 32/40 - 5/40
c = 27/40

6 0

3 years ago

HELLLPPP ASAP!!!!!

Oxana [17]

I'm not in that level

5 0

3 years ago

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