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2 years ago

If f(x)=x-1/3 and g(x)=3x+1, what is (f*g)(x) 3x+1 x-3

Mathematics

2 answers:

Elan Coil [88]2 years ago

8 0

The correct answer is: [D]: " x " .
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Explanation:
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f (g(x)) = f(3x + 1) = (3x + 1 - 1) / 3 = (3x / 3) = x .

The answer is: " x " .

→ which is: "Answer choice: [D]: " x " .
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crimeas [40]2 years ago

3 0

This is a composite. Another way to write them is f(g(x)). Take the function g(x) and stick it in for x in f(x). Like this: $f(g(x))= \frac{(3x+1)-1}{3}$ . But we aren't done cuz there's some simplifying there to do. $f(g(x))= \frac{3x}{3}$ and canceling out the 3's we get just a simple x as our answer. The choice is the last one above as your answer.

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Choose the correct simplification of the expression (8x^4y^3)2

LuckyWell [14K]

Answer:

16X*8Y*6

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2 years ago

Evaluate The diagram below.<br> Given: straight lines AD and CE.<br> HELP ASAP‼️‼️

jenyasd209 [6]

Answer:

<CFD =62°

<AFB= 90°

Step-by-step explanation:

here you have a vertical angle, so to simply put it the answer on one side of the angle is the same answer for the opposite side of the angle. knowing this, angle <AFE is 62° and <CFD is on the opposite side making the angle the same(62°). the opposite angle of <AFB is <EFD which is 118° but both <AFB and <AFC equal 118° so you subtract 118° to <AFC degree which is 28° and you get 90°.

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6 0

2 years ago

!*I NEED HELP AND QUICK*!

rewona [7]

1)96/8=12
2)(95*6+5)/6 : (24+1)/3 = (95*6+5)/6 : 2*25/6 = 575/6 *6/50=575/50
=23/2=11 1/2
11 1/2

3) (11 1/2)*12 area of the one type of the wall, there are 2 such walls
(11 1/2)*12*2
(8 1/3)*12 area of the second type of the wall, there are 2 such walls
(8 1/3)*12 *2

Altogether area of the walls:
(11 1/2)*12*2 + (8 1/3)*12 *2=12*2(11 1/2 + 8 1/3)= =24(19+3/6+2/6)=24(19+5/6) = 456 +24*(5/6)= 456+20= 476

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5 0

3 years ago

Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.

Georgia [21]

Correct Ans:
Option A. 0.0100

Solution:
We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.

First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:

$z-score= \frac{90-83.6}{ \frac{8.7}{ \sqrt{10} } } \\ \\ 
z-score =2.326$

So, 90 converted to z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.

Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.

5 0

3 years ago

Angela ordered 2 glass paperweights. The volume of each paperweight is 5 cubic inches, and the density of the glass is 1.5 ounce

Katarina [22]

Answer:

$(2\times 5)\times 1.5$

Step-by-step explanation:

Since, according to associative property of multiplication,

a(bc) = (ab)c,

Where a, b and c are any real numbers,

Here, the given expression,

2 × ( 5 × 1.5 ),

By applying the associative property of multiplication,

( 2 × 5 ) × 1.5,

Hence, the appropriate expression in the first box is '(2×5)'

And, the appropriate number in the second box is '1.5'.

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3 years ago