ANSWER:
- x³ – 5x² + 3x – 15
- x²(x – 5) + 3(x – 5)
- (x² + 3)(x – 5)
So, <u>Correct choice</u> - [C] (x² + 3)(x – 5).
Answer:
≈ 4.12 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)
d = 
= 
= 
= 
≈ 4.12 ( to the nearest hundredth )
Answer: 60
Step-by-step explanation:
From the question, we are informed that pencils come in packages of 10 while erasers come in package of 12 .
We are further told that Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil, this simply means that we have to calculate the lowest common multiple for 10 and 12.
Multiples of 10 = 10, 20, 30, 40, 50, 60,
Multiples of 12 = 12, 24, 36, 48, 60, 72
Therefore, the packages of pencils and erasers that Phillip should buy will be 60
Hello!
When solving a quadratic equation, we should begin by confirming that the right side is equal to 0. The equation above, however, contains a 2 on the right side.
Therefore, the most logical first step would be to subtract 2 from both sides, leaving the ride side equal to 0.
I hope this helps!
Answer:
(-8, 2)
Step-by-step explanation:
set these equations equal to each other
1/2x + 6 = -3/4x -4
5/4 x = -10
x = -10x4/5 = -40/5 = -8
plug this x into one of the equations
y = 1/2 (-8) + 6
y = -4 + 6
y = 2