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marta [7]
3 years ago
13

F(x) = x 2+ 6 and g(x) = 2x - 1 g[f(x)] =

Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Answer:

Given,

f(x)=x^2+6

g(x)=2x-1

Now,

g[f(x)]=g(x^2+6) since f(x)=x^2+6

=2(x^2+6)-1 since x > x^2+6

=2x^2+12-1

=2x^2+11

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A shipment of 40 fancy calculators contains 3 defective units. What is the probability if a college bookstore buys 20 calculator
JulsSmile [24]

Answer:

38.46%

Step-by-step explanation:

There are no names or marking that can make the calculator look different, so the order is not important. Then we should use a combination to solve this problem.

There are 40 calculators in one shipment, 37 of them good items and 3 of them are defect items. We need to choose 19 good calculators and 1 defect calculator. The number of ways to do that will be:

\frac{37}{19}* \frac{3}{1}= 37!\frac{37!}{19!(37-19!)} * \frac{3!}{1!(3-1)!}= 53017895700

The number of possible ways to choose 20 calculators out of 40 calculators will be:

\frac{40}{20}= \frac{40!}{20!(40-20!)}=137846528820

The chance will be: 53017895700/ 137846528820 = 0.3846= 38.46%

4 0
3 years ago
Which of the following would have an effect on an object's mass?
hodyreva [135]
The answer is none of the above because and object has the same mass no matter the temperature or the elevation. Mass is the amount of space an object takes up.
7 0
3 years ago
A merchant buys a television for $125 and sells it for a retail price of $200. What is the markup
beks73 [17]
The markup is the percent of the original price that it is increased by. To determine the percentage marked up, you will subtract the new price and the original price, and then divide that by the original price.

200-125=$75

75/200=0.375 or 37.5% markup.
5 0
4 years ago
If a triangle with vertices A(-1, 4), B(-1, -2), C(2, -2) is dilated with a scale factor of 2 and a center of dilation at the or
givi [52]

Answer:

A' (-2,8) B' (-2,-4) C' (4,-4)

Step-by-step explanation:

Dilations Rule :

(x,y) → (kx,ky)

Scale factor = K

When your scale factor is more than one our triangle gets bigger. When your scale factor is less than one our triangle gets smaller.

( you plug in 2 in every point and those are your answers).

Remember negative times negative is positive and positive times negative is negative.

5 0
3 years ago
Compare 8^0 and 8^-2. which is greater? Explain your reasoning.
aev [14]

Hello there!

8^0 amd 8^-2


Let me start with 8^-2

8^-2 = 1/8 * 8

8^-2 = 1/64

which equals to 0.015625 in decimal


8^ 0 =  1

Yep, that's the answer! Easy, isn't? Well you may have been wondering why 8^0 is equal to 1.

I quoted an explanation online that says:    Think of "multiplication" as always including an extra "1" as a multiplier.

So it'd be like

8^ 0

8/8 = 1


Remember: Whenever a number has an exponent 0, the answer MUST be 1.


Thus,

8^0 is greater. As you can see, it is equal to 1, while the other one is equal to 0.01


I'm terrible at explaining stuff. I hope you find this answer somehow helpful :)

4 0
4 years ago
Read 2 more answers
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