1. 343x³ - 8 = 0
343x³ + 98x² - 98x² + 28x - 28x - 8 = 0
343x³ + 98x² + 28x - 98x² - 28x - 8 = 0
7x(49x²) + 7x(14x) + 7x(4) - 2(49x²) - 2(14x) - 2(4) = 0
7x(49x² + 14x + 4) - 2(49x² + 14x + 4) = 0
(7x - 2)(49x² + 14x + 4) = 0
7x - 2 = 0 or 49x² + 14x + 4 = 0
+ 2 + 2 x = -(14) ± √((14)² - 4(49)(4))
7x = 2 2(49)
7 7 x = -14 ± √(196 - 784)
x = ²/₇ 98
x = -14 ± √(-588)
-98
x = -14 ± 14i√(3)
-98
x = -14 + 14i√(3) or x = -14 - 14i√(3)
-98 -98
x = ¹/₇ - ¹/₇i√(3) or x = ¹/₇ + ¹/₇√(3)
x = ¹/₇ ± ¹/₇i√(3)
Solution Set: {¹/₇ ± ¹/₇i√(3), ²/₇}
2. 64x³ = 0
64 64
x³ = 0
∛(x³) = ∛(0)
x = 0
Solution Set: {0}
Answer:
|s -55| ≤ 3
Step-by-step explanation:
"Within 3 mph of 55 mph" means the magnitude of the difference between s and 55 is at most 3. In symbols, this is ...
|s -55| ≤ 3
<h3><u>Answer:- </u></h3>
<h3><u>Solution</u> :-</h3>
The unit of mass is kg and unit of Volume is m³ . Since density is division of mass by volume , the corresponding units will also get divided and unit of density would come out to be kg/m³
<u>Some basic </u><u>derived </u><u>Units :- </u>
- area => m²
- volume cubic meter => m3
- speed meter per second => m/s
- acceleration => m/s²
- mass density meter => kg/m3
- specific volume cubic meter per kilogram m³/kg
Answer:
<u>135.73 ounces</u> of a silver alloy that costs $5.50 per ounce should be mixed.
Step-by-step explanation:
Given:
A silver alloy that costs $5.50 per ounce should be mixed with one that costs $7.00 per ounce to make a new 30 ounce alloy that costs $6.40 per ounce.
Now, to find the ounces of silver alloy.
Let the silver costs $5.50 per ounce be 
And the silver costs $7.00 per ounce be 
So, the total ounce make a new alloy:
....(1)
Now, the total costs of silver alloy:
Putting the value of 
from equation (1) in the place of :
<em>Subtracting both sides by 210 we get:</em>
<em>Dividing both sides by -1.5 we get:</em>
Therefore, 135.73 ounces of a silver alloy that costs $5.50 per ounce should be mixed.
Answer:
87.4°
Step-by-step explanation:
(3x + 8) + (3x + 18) + (7x + 9) = 180
3x + 8 + 3x + 18 + 7x + 9 = 180
add the common numbers
13x + 35 = 180
subtract 35
13x = 145
divide 13
x = 11.2
then plug it back in to m<3
7(11.2) + 9
78.4 + 9
= 87.4°
