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2 years ago

Find the inverse of the function f (x) = -8x + 9

Mathematics

2 answers:

garri49 [273]2 years ago

8 0

Answer:

$y=\frac{x-9}{-8}$

Step-by-step explanation:

1. change f(x) to y

2. switch x and y

$x= -8y+9$

3. solve for y

$x-9=-8y$

$y= \frac{x-9}{-8}$

lbvjy [14]2 years ago

8 0

Answer: y = (9-x) / 8

Step-by-step explanation:

set f(x) = y

y = -8x + 9

to find inverse repalce all y values with x and x values with y then solve for y again

x = -8y + 9

x - 9 = -8y

y = (x-9) / -8

distribute -1 through the numerator and make 8 positive

y = -x+9/8

y = (9-x)/8

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Mrs. Moore is making packages of art supplies for an art project. Each package contains sheets of white paper and blue paper. Th

Romashka [77]

Answer:

The maximum number of packages that can be made are 12 packages

The number of sheets of blue paper and white paper per package = 7 and 8 sheets respectively

Step-by-step explanation:

The number of sheets of blue paper available to Mrs. Moore = 84 sheets

The number of sheets of white paper available to Mrs. Moore = 96 sheets

The number of blue paper in each package = The number of white paper in each package

Therefore, the maximum number of packages that can be made is given by the Highest Common Factor, HCF, of 84 and 96 which is found as follows;

The prime factors of 84 = 2² × 3 × 7, from which we have;

Factors of 84 = 4 × 3 × 7 = 12 × 7

The prime factors of 96 = 2⁵ × 3, from which we have;

Factors of 96 = 4 × 8 × 3 = 12 × 8

∴ The HCF of 84 and 96 = 12

The maximum number of packages that can be made = Twelve packages

The number of sheets of blue paper in each package = Seven

The number of sheets of white paper in each package = Eight.

7 0

2 years ago

Maths assignment <br> y^2-36

Vsevolod [243]

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,

a ^2 − b ^2 = ( a + b ) ( a − b )

where

a = y

and

b = 6

( y + 6 ) ( y − 6 )

3 0

3 years ago

Tomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Tomas has been on x rides so far. Which e

Alex Ar [27]

Answer:

Option A, C and D are correct choices.

Step-by-step explanation:

Let x be the number of rides that Tomas has been on so far. Each ride costs 5 tickets. This means that cost of x rides will be 5x.

We are told that Tomas bought 80 tickets for rides at an amusement park.

To find the number of of tickets that Tomas has left we will subtract cost of x rides from total number of tickets that Thomas bought.

We can represent this information in an expression as: $80-5x$

Now let us see which of our given choices in equivalent to our expression.

A. $80-5x$

Upon looking at option A we can see that it is same as our expression, therefore, option A is the correct choice.

B. $80+5x$

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option B is not a correct choice.

C. $5(16-x)$

Upon distributing 5 we will get,

$80-5x$

Now this expression is same same as our expression, therefore, option C is the correct choice.

D. $-5x+80$

This expression is also same as our expression as we can rearrange the terms in this expression as: $80-5x$ , therefore, option D is a correct choice as well.

E. $5(16+x)$

Upon distributing 5 we will get,

$80+5x$

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option E is not a correct choice.

6 0

3 years ago

What is the lcm of 15 and 10 multiplied by the lcm of 6 and 20

d1i1m1o1n [39]

1800

LCM of 10 and 15 = 30
LCM of 6 and 20 = 60
30(60) = 1800

8 0

3 years ago

The first steps in writing f(x) = 3x^2 -24x+10 in vertex form what is the function written in vertex form

Vika [28.1K]

F(x) = 3(x-4)^2-38 because finding the perfect square would get you f(x)+38=3(x^2-8x+16) and then finding the squareroot of that and moving the constant on the left back to the right would leave u with f(x)=3(x-4)^2-38

4 0

3 years ago

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