Answer:
x=9
Step-by-step explanation:
Equation: 5.60x=50.40
Solve: 5.60x=50.40
Divide both sides by 5.60 ( 5.60x/5.60 ) and ( 50.40/5.60 )
x=9
In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85
Notice
40*40*40=64,000
so we check how many time does 85 fit into 64,000:
64,000/85=752.94
85*753=64,005; 64000-64,005=-5
this means that
thus
Answer: 10 (mod85)
Remark, the set of all solutions is:
{......-75, 10, 95, .....}, that is 85k +10
Answer:
x = -1
Step-by-step explanation:
-2(3x-4)=4(x+3)+6
Distribute
-6x +8 = 4x +12 +6
Combine like terms
-6x +8 = 4x+18
Add 6x to each side
-6x+6x +8 = 4x+6x +18
8 = 10x+18
Subtract 18 from each side
8-18 =10x+18-18
-10 = 10x
Divide each side by 10
-10/10 = 10x/10
-1 =x
Answer:
a = - 4
Step-by-step explanation:
Given x = - 2 is a root then f(- 2) = 0
f(x) = x³ + x² + ax - 4, thus
f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is
f(- 2) = - 8 + 4 - 2a - 4 = 0, thus
- 8 - 2a = 0 ( add 8 to both sides )
- 2a = 8 ( divide both sides by - 2 )
a = - 4