Answer:
? = 10
Step-by-step explanation:
26 - 4 = 12 + ?
22 = 12 + ?
10 = ?
Answer:
a1 = 39, a2 = 41, a3 = 43
The pair with the greatest sum is a2 + a3 = 41 + 43 = 84
Step-by-step explanation:
Let the first integer be a1 = a.
Let the second odd integer be a2 = a + 2
Let the third odd integer be a3 = (a + 2) + 2 = a + 4
The sum of three consecutive odd integers is 123.
123 = a1 + a2 + a3
123 = a + (a + 2) + (a + 4)
123 = 3a + 6
117 = 3a
a = 39
a1 = a = 39
a2 = a + 2 = 39 + 2 = 41
a3 = a + 4 = 39 + 4 = 43
The pair with the greatest sum is a2 + a3 = 41 + 43 = 84
Answer:
The rule of translation is 
.
The translated vector is 
.
Step-by-step explanation:
Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.
We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:
(Eq. 1)
Where:
- Original vector, dimensionless.
- Translation vector, dimensionless.
- Translated vector, dimensionless.
If we know that 
, then the rule of translation is described by:
(Eq. 2)
If 
, then the new location of A is:
The translated vector is .
Answer:
x = 2
y = -1
Step-by-step explanation:
2x + y = 3
-2y = 14 - 6x
6x - 2y = 14
2x + y = 3 | ×3 |
6x - 2y = 14 | ×1 |
6x + 3y = 9
6x - 2y = 14
__________--
5y = -5
y = -5/5
y = -1
2x + y = 3
2x + (-1) = 3
2x = 3 + 1
2x = 4
x = 4/2
x = 2
Answer:
The balance in two separate bank accounts grows each month at different rates. the growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12. in what month is the f(x) balance greater than the g(x) balance?
Answer:
6 months
