Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
Answer: 147 cm²
Step-by-step explanation:
Since it says to use 3 for pi, and the radius is given to us (7 cm), we will plug in and solve for the area.
A = πr²
A = (3)(7)²
A = 147 cm²
Answer:
64 cups
Step-by-step explanation:
1 gallon is equivalent to 16 cups
Remark
The easiest way to graph this is to get a program to do it for you. Desmos is ideal.
Problem 7a
The graph is down below the rest of the answer. 5x + 2y = 150
<u>x and y intercepts.</u>
The x intercept is marked as 30. That was derived by letting y = 0 to get
5x = 150 divide by 5
x = 150 / 5
x = 30
So if you buy NO wristbands, you can get 30 keychains
The y intercept occurs when x = 0
2y = 150 Divide by 2
y = 150 / 2
y = 75 That means if you buy NO keychains, you can buy 75 wrist bands.
Problem 7b
For this problem x = 18
5*18 + 2y = 150
90 + 2y = 150 Subtract 90 from both sides.
2y = 150 - 90
2y = 60 Divide by 2
y = 60/2
y = 30
Conclusion
You can buy 18 key chains (given)
You can buy 30 wristbands (calculated)