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Ray Of Light [21]
3 years ago
10

If f (x) -3x + 2 and g (2) = x + 1 find g(f(x)) please helppp

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

\left \{ {{f(x)=-3x+2} \atop {g(x)=x+1}} \right.

To find g(f(x)), Substitute f(x) in g(x).

g(-3x+2)

Then substitute x = -3x+2 in g(x) = x+1

g(-3x+2)=(-3x+2)+1\\g(-3x+2)=-3x+2+1\\g(-3x+2)=-3x+3

Therefore, the answer is g(f(x))=-3x+3

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In the equation below, what is the value of b? 4(x-2)^2-7=ax^2+bx+c
Finger [1]
We have 4(x^2 - 2x + 4) - 7 = 4x^2 - 8x + 16 - 7 = 4x^2 - 8x + 9;
So, 4x^2 - 8x + 9 = <span>ax^2+bx+c ;
The value of b is -8.</span>
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3 years ago
An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the
inna [77]

Answer: 0.6812

Step-by-step explanation:

Let p be the population proportion of trees are infested by a bark beetle.

As per given: p= 12%= 0.12

Sample size : n= 1000

Number of trees affected in sample = 1000

Sample proportion of trees are infested by a bark beetle. = \hat{p}=\dfrac{127}{1000}=0.127

Now, the z-test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

So, z=\dfrac{0.127-0.12}{\sqrt{\dfrac{0.12\times 0.88}{1000}}}

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Hence, the value of the z-test statistic = 0.6812 .

7 0
3 years ago
A study was done on the batting averages for two baseball players: Hitmore and Bunter. Data were collected over a period of time
amm1812

Answer:

Both (B) and (C) are correct

Step-by-step explanation:

Explaining in simple terms, The Simpson's paradox simply describes a phenomenon which occurs when observable trends in a relationship, which are obvious during singular evaluation of the variables disappears when each of this relationships are combined. This is what played out when hitmire appears to d well on both of natyraknamd artificial turf when separately compared, but isn't the same when the turf data was combined. Also, performance may actually not be related to the turf as turf may Just be. a lurking variable causing a spurious association in performance.

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3 years ago
What is the elimination of 2a+3b=12 and 5a-b=13
baherus [9]
I hope this helps you

6 0
3 years ago
Read 2 more answers
In a parenting magazine, Mrs. Smith read an advertisement about all the different ways that bleach can be used to kill bacteria.
babymother [125]

Question:

(a) How many bacteria would be found in 24 hours

(b) How many bacteria would be found in 2 days

(c) How long for 1000 bacteria to be found

Answer:

(a) 282429536481 bacteria

(b) 7.97*10^{22 bacteria

(c) 6 days

Step-by-step explanation:

The question illustrates an exponential function

y = ab^x

Where

a = Initial\ Value = 1

b=Rate = 3 --- i.e. triples

x = number\ of\ hours

Solving (a): Bacteria in 24 hours

In this case:

x = 24

Substitute x = 24, b = 3 and a = 1

So:

y = ab^x

y = 1 * 3^{24

y = 1 * 282429536481

y = 282429536481 bacteria

Solving (b): Bacteria in 2 days

2\ days =48\ hours

So:

x = 48

Substitute x = 48, b = 3 and a = 1

So:

y = ab^x

y = 1 * 3^{48

y =7.97*10^{22 bacteria

Solving (c): How long for 1000 bacteria

In this case:

y = 1000

Substitute y = 1000, b = 3 and a = 1

So:

y = ab^x

1000 = 1 *3^x

1000 = 3^x

Take Log of both sides

Log1000 = Log3^x

This gives:

Log1000 = xLog3

Make x the subject

x = \frac{Log1000}{Log3}

x \approx 6

<em>Hence: It takes 6 days</em>

8 0
3 years ago
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