C. is the correct answer because (x+3)^2 is x^2+6x+9
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ
But 4 = 2² and 8 = 2³
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ
2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ
Multiply out the powers, also since the
2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ
Since the bases are the same, hence the powers are also the same.
4x + 10 = 9x
4x - 9x = -10
-5x = -10
x = -10/-5
x = 2
Hope this explains it.
Answer:
<u></u>
Explanation:
The measure of how fast the wrestler gained weight, in kg per month, is the weight gain rate.
The table is:
Time (months) Weight (kg)
0.5 80.6
2 88.4
3.5 96.2
The weight gain rate, WGR, for a period may be calculated as:
- WGR = [ weight gain ] / [period]
- WGR = [final weight - initial weight] / [final time - initial time]
- WGR₁ = [88.4 kg - 80.6 kg] / [2 month - 0.5 month] = 7.8 kg / 1.5 month = 5.2 kg / month
- WGR₂ = [96.2 kg - 88.4 kg] / [3.5 month - 2 month] = 7.8 kg / 1.5 month = 5.2 kg / month.
As you see, the wrestler gained weight at a constant rate of 5.2 kg per month.
Answer is $506.25.
first month is $100,
second month is 100 times 1.5 which is 150.
thirst month is 150 times 1.5 which is 225.
fourth month is 225 times 1.5 which is 337.5
fifth month is 337.5 times 1.5 which is 506.25
