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3 years ago

11

Let f(x)=4x−1 and g(x)=x2+ 2. Find (f◦g)(5).

1 answer:

serg [7]3 years ago

7 0

Step-by-step explanation:

$f(g(x) = 4(2x + 2) - 1 \\ 4(2(5) + 2) - 1 \\ 4(12) - 1 \\ 48 - 1 = 47$

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loris [4]

the value of angle K is 56

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3 years ago

Laura spent 4/3 of her savings on a new CD which equivalent fraction shows the amount Laura spent? 1/9, 2/8, 1/3, or 2/3

Sholpan [36]

Round 4/3 to the nearest half you should come up with 2/3

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3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

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

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

Please help! ^^' I'll give brainliest to the correct answer!

natita [175]

2, because ab=ac and they both equal 6 when plugged in

7 0

3 years ago

-5,-1,3,7......<br> Write the first term a and the common difference d

VMariaS [17]

The appropriate formula here is l = a + (n-1)d, where l represents the last term.

Here the first term is -5 and the common difference is +4. Thus,

l = -5 + (n-1)(4) (answer)

Check: we are given the arith sequence -5, -1, 3, 7. Does our formula correctly predict the 1st term? l = -5 + (1-1)(4) = > -5. Yes.
Does it correctly predict the 3rd term? l = -5 +(3-1)(4) => -5+2(4) = 3. Yes

8 0

3 years ago