Given that ƒ(x) = 3x – 1 and g(x) = 4x2 – 5x + 7, find (ƒ – g)(x)

The answer is - 4x² + 8x - 8

Step-by-step explanation:

ƒ(x) = 3x – 1

g(x) = 4x2 – 5x + 7

(ƒ – g)(x) = 3x - 1 - ( 4x² - 5x + 7)

That's

3x - 1 - 4x² + 5x - 7

Group like terms

- 4x² + 3x + 5x - 1 - 7

The final answer is

- 4x² + 8x - 8

Hope this helps you.

a) For Khalil's purchase

4x + 3y = 11.67Equation 1

For Ronda's purchase

8x + y = 12.89Equation 2

b) A can of soup = x = $2.09

Loaf of bread = y = $1.35

Step-by-step explanation:

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three

loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework Help!

Let us represent:

a can of soup = x

Loaf of bread = y

a. Write equations for both Khalil's and Ronda's purchases.

For Khalil's purchase

= Khalil buys four cans of soup and three loaves of bread for $11.67.

4x + 3y = 11.67Equation 1

Ronda buys eight cans of soup and one loaf of bread for $12.89.

8x + y = 12.89Equation 2

b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

We have:

4x + 3y = 11.67Equation 1

8x + y = 12.89Equation 2

y = 12.89 - 8x

We substitute 12.89 - 8x for y in Equation 1

4x + 3(12.89 - 8x) = 11.67

4x + 38.67 - 24x = 11.67

38.67 - 11.67 = 24x - 4x

27 = 20x

x = 27/20

x = 1.35

y = 12.89 - 8x

y = 12.89 - 8 × 1.35

y = 12.89 - 10.8

y = 2.09

Therefore,

Solving for y

a can of soup = x = $2.09

Loaf of bread = y = $1.35