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mojhsa [17]
3 years ago
13

Given the functions f(x) = 2x + 5 and g(x) = x2 + 8, which of the following functions represents f(g(x)] correctly?

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

Choice 4.

Step-by-step explanation:

f(g(x))

Replace g(x) with x^2+8 since g(x)=x^2+8.

f(g(x))

f(x^2+8)

Replace old input,x, in f with new input, (x^2+8).

f(g(x))

f(x^2+8)

2(x^2+8)+5

Distribute:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

Combine like terms:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

2x^2+21

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The following list shows the items and prices for a restaurant order. Calculate the total amount if there is an 8% tax and the c
Andreas93 [3]

Answer:

Option B

The total amount is $63.31 if there is an 8% tax and the customer leaves a 20% gratuity.

Step-by-step explanation:

Given:

List of items                           Prices

1 Appetizer                             $8.59

2 Entrees                                $15.99 each

1 dessert                                 $4.69

2 drinks                                   $2.10 each

Total amount for the food order came to, \left ( 1\times \$ 8.59 \right +2\times \$15.99+1\times \$4.69+2\times\$2.10)=\left (\$ 8.59 \right + \$31.98+ \$4.69+\$4.20)=$49.46

Since the restaurant charges 8% as a tax on the total bill.

First, figure out the tax, 8% of $49.46=0.08\times $49.46=$3.9568

Now, figure out the Customer leaves a  gratuity, 20% of $49.46=0.20\times \$49.46=\$9.896

The total amount( including 8% tax and 20% gratuity )=$49.46+$9.896+$3.9568=$63.3128\approx \$63.31


8 0
3 years ago
Read 2 more answers
Solve the linear equation. X + 5 = -2 ​
Vladimir79 [104]

Answer:

x=-7

Step-by-step explanation:

So we have the equation:

x+5=-2

To solve, subtract 5 from both sides. This is the subtraction property of equality:

(x+5)-5=(-2)-5

The left side cancels:

x=(-2)-5

Subtract on the right.

x=-7

So, our answer is -7.

7 0
3 years ago
Read 2 more answers
In factored form please help
Brilliant_brown [7]

Answer:

3rd option

Step-by-step explanation:

\frac{3x^2-3}{x^2-5x+4} ( factorise numerator and denominator )

3x² - 3 ← factor out 3 from each term

= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 1

= x² - 1²

= (x - 1)(x + 1) , then

3x² - 3 = 3²(x - 1)(x + 1) ← in factored form

--------------------------------

x² - 5x + 4

consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

x² - 5x + 4 = (x - 1)(x - 4)

then

\frac{3x^2-3}{x^2-5x+4} = \frac{3(x-1)(x+1)}{(x-1)(x-4)} ← in factored form

3 0
2 years ago
I have been struggling at this please help
Taya2010 [7]

Answer:

21

Step-by-step explanation:

I shall change the pictures to letters

a + a + b = 40 --(1)

b - c = 7 --(2)

c + a = 19 --(3)

a - c + b = ?

From (1):

2a + b = 40

b = 40 - 2a --(4)

From (2):

b = 7 + c --(5)

Sub (4) into (5):

40 - 2a = 7 + c

c = 33 - 2a --(6)

Sub (6) into (3):

33 - 2a + a = 19

a = 14

Sub a = 14 into (4) and (6):

b = 40 - 2(14) = 12

c = 33 - 2(14) = 5

therefore, a - c + b = 14 - 5 + 12 = 21

Topic: simultaneous equations

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

5 0
3 years ago
I bought an 18 ounce box of Cheerios for $3.64. How much is it per ounce?
12345 [234]

Answer:

about 0.20, i like cheerios

3 0
3 years ago
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