Answer:
third option
Step-by-step explanation:
Given
x² + 4x - 4 = 0 ( add 4 to both sides )
x² + 4x = 4
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 4 + 4, that is
(x + 2)² = 8 ( take the square root of both sides )
x + 2 = ±
= ± 2
( subtract 2 from both sides )
x = - 2 ± 2
Answer:
Step-by-step explanation:
We have given that:
There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp
Part A:
According to the above mentioned statement the function for representing the number of alligators and crocodiles in the swap throughout the year is:
Alligators = y=20(1.25)^x (x represents years)
crocodiles: y=10x+25
Part B:
Number of alligators after 4 years in the swap = y=20(1.25)^x
Number of alligators after 4 years in the swap = y=20(1.25)^4
Number of alligators after 4 years in the swap=48.82
This shows that about 48 to 49 alligators will be there in the swap after 4 year
Number of crocodiles after 4 years in the swap = y= 10(4)+25 = 65
Part C:
We will use the graph method to solve this part:
After approximately 7 years, the number of animals of each type will be the same, 95.
Answer:
100 square inches
Step-by-step explanation:
Dimension of each of the ten pictures= 4 inches by 6 inches
Area of one of the pictures=4*6=24 Square Inch.
Total Area of the 10 pictures=24*10=240 Square Inches.
Dimension of the Poster Board=20 inches by 17 inches.
Area of the Poster Board=20*17=340 Square Inches.
Area not covered by the pictures=340-240=100 Square Inches
Therefore, 100 square inches of the green background will show after the pictures are mounted.
Answer:
the answer is (6, -4)
Step-by-step explanation: