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Masteriza [31]
3 years ago
7

Pls I need help with this

Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Answer:

umm I think I know hold on

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Let f(x) = x ^ 2 and g(x) = x - 3 . Evaluate (g?f)(0).
nignag [31]

Answer:

g(f(0))=-3

Step-by-step explanation:

we have

f(x)=x^{2}

g(x)=x-3

we know that

(g o f)(x)=g(f(x))

substitute the variable x in the function g(x) by the function f(x)

so

g(f(x))=x^{2}-3

Evaluate g(f(0))

For x=0

g(f(0))=0^{2}-3

g(f(0))=-3

5 0
3 years ago
2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou
jenyasd209 [6]

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

<h2>Box of orange = $3.5 </h2><h2>Box of cherry = $7.5</h2>
7 0
1 year ago
9. Carla has $200 in her bank account.
Firdavs [7]

(a) Linear Equation:   f(x) = 200 - 20x

(b) x-intercept : (10,0)

(c) y-intercept : (0,200)

(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

    Range : {0,1,2,...,200}

Step-by-step explanation:

Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.

Every week $20 is getting deducted from the total amount of $200.

Step 2: (a) So we can quote it in equation as,

f(x) = 200 - 20x

where x represents number of weeks

Step 3: (b) x-intercept is where value of y becomes 0.

So, referring graph we can determine x intercept as x = 10. Point (10,0). which also means no money left in account.

Step 4: (c) y-intercept is where value of x becomes 0.

So, referring graph we can determine y intercept as y = 200. Point (0,200). which is starting value of money in account.

Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

                  Range : {0,1,2,...,200}

4 0
3 years ago
20% off $115 7.5% sales tax what is the final price of the coffee table
TiliK225 [7]

Answer:

Therefore the final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9

Step-by-step explanation:

it is $98.9

6 0
2 years ago
Read 2 more answers
There is a language with 12 distinct letters. How many words that are less than four letters long can possibly be formed? (Assum
allochka39001 [22]

Answer:

1884

Step-by-step explanation:

1)If you hear the condition "less than four letters" it means that each word can consist of 3,2 or 1 letter. Firstly, consider the easiest situation with the word from one letter. There are 12 letters, so there are 12 words from one letter.

Then the words from two letters. The first letter of such a word can be chosen in 12 means(because 12 letters are available), then the second letter can be chosen in 12 means too. 12*12=144 words with 2 letters. (Multiplying, not adding, because each two words form one combination).

Then for the words from three letters, use the same rule, 12 means for the first letter, 12 means for the second letter, 12 means for the third letter. 12*12*12=1728 words.

Having particular words from 1,2,3 letters add them to get total quantity of words: 12+144+1728=1884words,that is the answer.

8 0
3 years ago
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