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3 years ago

Given f(x)=3x-4 and g (x)=-2x+7 evaluate (f o g)(5)

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

f(x) = 3x - 4

g(x) = -2x + 7

(f o g)(x) = f(g(x)) = -2(3x - 4) + 7

= -6x + 8 + 7 = -6x + 15

(f o g)(5) = -6(5) + 15 = -15

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5000 people attend 1 movie each in one week. Regular show ticket is $9.50 and matinee tickets are $7. The total amount spent was

yuradex [85]

Answer:

1400

Step-by-step explanation:

Given: Cost of Regular ticket = $9.50

Cost of Matinee tickets= $7

Total number of people= 5000

Total spending in watching movie= $44000.

Lets assume total number of people attended matinee be "x".

∴ Number of people attended Regualr show= $(5000-x)$

We know, total cost= $Price\ of\ each\ ticket \times number\ of\ people$

Now, forming an equation to show total spending on tickets.

⇒ $\$ 9.50(5000-x)+ \$ 7x= \$ 44000$

Using distributive property of multiplication to multiply 9.50 with 5000 and -x.

⇒ $47500-9.50x+7x= 44000$

⇒ $47500-2.5x= 44000$

Adding both side by 2.5x

⇒ $47500 = 44000 + 2.5x$

subtracting both side by 44000

⇒ $3500= 2.5x$

Dividing both side by 2.5

⇒ $x= \frac{3500}{2.5}$

∴ $x= 1400$

Hence, number of people attended the matinee show are 1400.

7 0

3 years ago

If the typical balance on Lucy's credit card is $650 and the interest rate (APR) on her credit card is 18%, how much in interest

mafiozo [28]

General Idea:

$Amount \; Charged \; in \; a \; Month \; = \; Monthly \; Interest \; Rate \; \times Typical \; Creditcard\; Balance\\ \\$

$Amount \; Charged \; in\; a\; month =\frac{18\%}{12} \times 650 \; = 0.015\times650=9.75$

Conclusion:

Amount of interest that Lucy to be charged in a typical month is $9.75

7 0

3 years ago

Read 2 more answers

(115) the product of integers x, y, and z is even. is z even?

djyliett [7]

1. X/Y = Z

if x = 6, y = 2, then z = 3, not even

if x = 6, y = 3, then z = 2, even

2. Z=XY 

so (z)^2 = 2*k (because x*y*z = 2k, where k is an integer)

Sufficient, as if square of an integer is even ,then the integer is even

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3 years ago

PLEASE HELP!!! 20 POINTS!!!

nikklg [1K]

Answer:

jygeidycge9d7cge9

Step-by-step explanation:

because im albert einstein

6 0

2 years ago

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What is the simplified form for the following expression -(3y-9z)

Sonja [21]

The answer is: -3y+9z

This is because you simply switch the sign for every number in the parentheses.

Hope this helps!

5 0

3 years ago