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3 years ago

- 4j - 1 - 4j+6 Write that expression in the simplest form

Mathematics

1 answer:

Anika [276]3 years ago

4 0

Answer:

-8j+5

Step-by-step explanation:

the answer is -8j+5

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Find the requested function value.

liq [111]

Given:

Given that the functions $f(x)=9 x+5$ and $g(x)=-4x^2-6x+3$

We need to determine the value of the function $(f \circ g)(-9)$

First, we shall determine the value of the function $(f \circ g)(x)$

The value of the function $(f \circ g)(x)$ :

Let us determine the value of the function $(f \circ g)(x)$

Thus, we have;

$(f \circ g)(x)=f[g(x)]$

$=f(-4x^2-6x+3)$

$=9(-4x^2-6x+3)+5$

$=-36x^2-54x+27+5$

$(f \circ g)(x)=-36x^2-54x+32$

Thus, the value of the function is $(f \circ g)(x)=-36x^2-54x+32$

The value of the function $(f \circ g)(-9)$ :

The value of the function $(f \circ g)(-9)$ can be determined by substituting x = -9 in the function $(f \circ g)(x)=-36x^2-54x+32$

Thus, we have;

$(f \circ g)(-9)=-36(-9)^2-54(-9)+32$

$=-36(81)-54(-9)+32$

$=-2916+486+32$

$(f \circ g)(-9)=-2398$

Thus, the value of the function $(f \circ g)(-9)$ is -2398

Hence, Option A is the correct answer.

4 0

3 years ago

I can’t use my calculator so can someone please answer 2.8 quintillion to the power of 8 divided by 3.7 billion to the power of

sammy [17]

2.8 quintillion^8= 3.77802e+147
3.7 billion^12= 6.582952e+114

3.77802e+147/6.582952e+114=

=5.739097e+32

7 0

4 years ago

What number is a factor of 15 but not a multiple of 3

Sveta_85 [38]

Five.
I need some extra characters here.

5 0

4 years ago

Read 2 more answers

2. Suppose that P(A) = 0.32, P(B) = 0.46, P(C) = 0.23, P(A ∪ B) = 0.57, P(A ∪ C) = 0.55, P(B ∪ C) = 0.49. a. Compute P(B ′ ). b.

Liula [17]

Answer:

Step-by-step explanation:

From the given information:

Compute $P(B')$ :

$P(B') = 1 - P(B) \\ \\P(B') = 1 - 0.46 \\ \\ P(B') = \mathbf{0.54}$

Compute P(A ∩ B)

P(A ∩ B) = P(A) +P(B) - P(A∪B)

P(A ∩ B) = 0.32 + 0.46 - 0.57

P(A ∩ B) = 0.21

Thus, since P(A ∩ B) ≠ 0, we can say that they are not mutually exclusive.

P(A ∩ C) = P(A) +P(C) - P(A∪C)

P(A ∩ C) = 0.32 + 0.23 -0.55

P(A ∩ C) = 0

Thus, since P(A ∩ C) = 0, we can say that they are both mutually exclusive.

d. To determine P[(A ∪ B ∪ C)′]

i.e. none of the events occurring

Then :

P(B ∩ C) = 0.46 +0.23 -0.49

P(B ∩ C) = 0.20

Therefore:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B ) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

P(A ∪ B ∪ C) = 0.32 + 0.46 + 0.23 - 0.21 - 0 - 0.20 + 0

P(A ∪ B ∪ C) = 0.60

3 0

3 years ago

Divide $174.90 by $795.00

gtnhenbr [62]

$174.90 / $795 = 0.22 (just the naked number, no unit)

6 0

4 years ago