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3 years ago

HALPPPPP Let g(x) = 2x and h(x) = x2 + 4. Evaluate each expression: g(-2) + h(4)

1 answer:

5 0

Answer

16

Explanation

Functions are:

g(x) = 2x and h(x) = x2 + 4

To evaluate g(-2) substitute x = -2 into the function.

2 • -2 = -4

To evaluate h(4) substitute x = 4 into the function.

4^2 + 4 = 20

Add the 2 functions

-4 + 20 = 16

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The following parts refer to the letters: LAMEFIREALARM. Recall that "word" means distinguishable letter arrangements. (a) How m

larisa86 [58]

Answer:

Step-by-step explanation:

The word "LAMEFIREALARM" word consists of

2L , 2M, 2E , 2R , 3A , F and I

no of words with the above letters such that M's are not together

=Total No of words- M's are together

Total no of words $=\frac{13!}{4\times 2!\times 3!}=64,864,800$

When M's are together . considering 2 M's as one

therefore there are $\frac{12!}{3\times 2!\times 3!}=9,979,200$

No of ways $=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}=54,885,600$

(b)No of ways such that M's are separated by at least 2 letters

at least 2 letter means 2 letter, 3 letter ......11 letters

So we have to subtract no of ways where there are 1 letter in between M's from total no of ways where 2 M's are not next to each other

No of ways in which there is 1 letter between 2 M's

This can be done by considering 11 cases

In first case Place first M in Starting Position and 2 M on third place

Second case place First M in 2 nd Position and second M on 4 th place

Similarly For 11th case

Place first M in 11th place and second M on 13th place

Total ways

$=\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}$

So , the total number of arrangements of the letters of the word LAMEFIREALARM where the two M's are separated by atleast two letters is

$=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}-\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}$

$=45738000$

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3 years ago

What is another way of writing 34 x (65 + 27)?

Andru [333]

36 x (65+27) is the same as 36(65+27) .. you are able to distribute the 36 ( distributive property) onto the 65 and 27 and add them. Also, you can add the numbers in between the parenthesis and multipy them by 36. Nonetheless, you would arrive at the same answers.

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4 years ago

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given a rectangle of length a and width b if A and B are both rational numbers would the perimeter be irrational or rational? Gi

Kitty [74]

The perimeter would be rational due to both the width and length being rational numbers. A rational number is a number that can be written as a fraction such as 8 it can be written as 8/1, but a irrational would be a decimal number which in this case there would be none because both length and width is rational number. For example, Lets say the width is 8 and the length is 10. once both are written into fraction form such as 8/1 and 10/1 we add them to get a perimeter of 18.
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4 years ago

Alonzo wrote the equation x=2+4y-5 solve for y

kati45 [8]

if x= 2+4y-5 then x-2 +5 = 4y so y = (x-2+5) /4 = ( x+3) /4

conclusion y = (x+3)/4

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3 years ago

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docker41 [41]

Answer:

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Step-by-step explanation:

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