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3 years ago

. Let f and ???? be the functions given by f(x) = x2 and ????(x) = x|x|.

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

7 0

Answer:

Step-by-step explanation:

let ????=g

g(x)=x|x|

if x<0,then |x|=-x

-67<0

|-67|=-(-67)=67

g(-67)=-67(67)=-67²

f(-67)=(-67)²=67²

f(-67)+g(-67)=67²-67²=0

In-s [12.5K]3 years ago

6 0

Answer:

Step-by-step explanation:

let ????=g

g(x)=x|x|

if x<0,then |x|=-x

-67<0

|-67|=-(-67)=67

g(-67)=-67(67)=-67²

f(-67)=(-67)²=67²

f(-67)+g(-67)=67²-67²=0

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Answer:

130

Step-by-step explanation:

10 x 13 = 130

13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 = 130

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Which of these is defined as expression that describe one thing in terms of anoter?

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2 years ago

The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 80 feet per sec

SVEN [57.7K]

Answer:

f(2) = f(3) = 102 ft

Step-by-step explanation:

The height f at t = 2 seconds is given by:

$f(t) = -16t^2 + 80t + 6\\f(2) = -16*2^2 + 80*2 + 6\\f(2)=-64+160+6\\f(2)=102\ ft$

The height f at t = 3 seconds is given by:

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For both t =2 and t =3, the expression results in a height of 102 ft, therefore f(2) = f(3) = 102 ft.

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3 years ago

Which ratio expresses the scale used to create this drawing? The camping site has dimensions of 12 meters by 48 meters. A. B. C.

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Answer:

1: 4

Step-by-step explanation:

to find the ratio

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2 years ago

According to data from the state blood program, 40 percent of all individuals have group A blood. Suppose that of six randomly s

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Answer:

b. Yes, probability is > 0.05

Step-by-step explanation:

We have to find P(X=3) and if the probability is below 0.05 then the it would be unusual and if it isn't below 0.05 we believe that the data from the blood program.

This probability can be found bu binomial distribution with parameters n=6

and p=0.4.

P(X=x)=nCx(p^x)(q^n-x)

where q=1-p=1-0.4=0.6.

P(X=3)=6C3(0.4^3)(0.6^3)

P(X=3)=20(0.064)(0.216)

P(X=3)=0.27648

As the probability that the three have a blood group is greater than 0.05, so, we believe that the data from the blood program.

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3 years ago