Answer:
- 25x³
Step-by-step explanation:
Given
(x + 5)(x - 5)x³ ← expand the factors using FOIL
= (x² - 25)x³ ← distribute
= - 25x³
Answer: The length of BD is 2.4
Step-by-step explanation: BD is a leg of a right triangle, so use the
Pythagorean Theorem a² + b² = c²
BC is the hypotenuse here, so that is c = 3
We can use the segment CD as side b = 1.8
We will call BD side a, and solve to find that length.
a² + (1.8)² = 3² Square the known values of b and c
a² + 3.24 = 9 Subtract 3.24 from both sides.
a² = 9 - 3.24 Simplify
a² = 5.76 Find the square root of both sides (Calculator time!)
a = 2.4
Answer:
40%
Step-by-step explanation:
Make it so the denominator is 100 since a percentage is out of a 100.
2/5 x 20/20 = 40/100
Now turn 40/100 into a percent. Should be simple. 40 out of 100 is 40%.
In this question, the interest rate is 0.02% and you need to have $9.99 interest to cover the fee. To find the bank account needed, you need to divide the target interest value with the interest rate. The calculation would be:
interest = bank account * interest rate
$9.99 = bank account * 0.02%
bank account = $9.99/ 0.02% (don't forget the % mean 1/100)
bank account = $49,950
Answer:
Table 3 and Table 5
Step-by-step explanation:
y = 3/5 x
The slope is 3/5
3/5 = .6
We want a slope that is lower
We want to find the slope for each table
Slope is found by
m = (y2-y1)/(x2-x1)
Table 1
= (12-4)/(9-3) = 8/6 = 4/3 =1.33
Table 2
= (12-4)/(15-5) = 8/10 = 4/5=.8
Table 3
= (54-18)/(93-31) = 36/62=18/31=.58
Table 4
= (33-11)/(54-18) = 22/36 = 11/12=.92
Table 5
= (21-7)/(36-12) =14/24 = 7/12 =.58
