Answer: Ix - 65°F I ≤ 5°F.
Where the solutions of this equation are the set of possible temperatures that we can have.
Step-by-step explanation:
We know that the mean temperature is 65°F.
And it may be 5°F colder or warmer.
Then the minimum temperature is 65°F - 5°F = 60°F
The maximum temperature is 65°F + 5°F = 70°F
Then the range of possible temperatures is [60°F, 70°F]
Now we can model this with an absolute value equation.
Now we have:
the mean, M = 65°
Half the difference between maximum and minimum:
d = (70°F - 60°F)/2 = 5°F.
Now we can write the absolute equation:
I x - M I ≤ d
Where x represents the possible temperatures that we can have
in this case are:
Ix - 65°F I ≤ 5°F.
A² + b² = c²
a = 2b, c = 10
(2b)² + b² = 10²
4b² + b² =100
5b² = 100
b² = 100 ÷ 5
b² = 20
Answer: 20
<u>2x - 3</u> = <u>2x - 4</u>
2 - x 1 - x
(2x - 3)(1 - x) = (2x - 4)(2 - x)
2x(1 - x) - 3(1 - x) = 2x(2 - x) - 4(2 - x)
2x(1) - 2x(x) - 3(1) + 3(x) = 2x(2) - 2x(x) - 4(2) + 4(x)
2x - 2x² - 3 + 3x = 4x - 2x² - 8 + 4x
-2x² + 2x - 3 + 3x = -2x² + 4x - 8 + 4x
-2x² + 2x + 3x - 3 = -2x² + 4x + 4x - 8
-2x² + 5x - 3 = -2x² + 8x - 8
<u>+ 2x² + 2x² </u>
5x - 3 = 8x - 8
<u> - 5x - 5x </u>
-3 = 3x - 8
<u>+ 8 + 8</u>
<u>-5</u> = <u>3x</u>
3 3
-1²/₃ = x
Answer: 125.6
Step-by-step explanation:
C=dpi. If 40 times 3.14 equals 125.6 then that is the circumference.
Answer:
for Vic: $10,000
for Billy: $6,000
TOTAL: $16,000
Step-by-step explanation:
