Answer:
The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.
Step-by-step explanation:
Consider the system of linear equations:

The system of linear equations can have zero, one, or an infinite number of solutions:
simplify equation (1):

substitute in equation (2), we get

we cannot find the value of
and
.
so, there is no solution.
Multiply the equation (1) with 3 and put k is 6,

it means both equations are overlapped. Then, the solution has infinite solutions.
Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.
Step-by-step explanation:
3x-4=-8
3x=-8+4
3x=-4
x=-(4/3)
Answer:
25
Step-by-step explanation:
27 ÷ 3 + 8(2 power) ÷ 4
27 ÷ 3 + 64 ÷ 4
9 + 64÷4
9 + 16
= 25
Answer:
Volume of a prism =BH
(length ×width)×height
(10×20)×60
=12000cm3
Step-by-step explanation:
Options
A. The number of cars passing through the intersection in one hour
B. The number of pedestrians crossing the intersection in one hour
C. The number of bicyclists crossing the intersection in one hour
D. The number of food trucks that park within four blocks of the intersection
E. The number of minutes for a car to get from the intersection to the administration building
Answer:
The number of minutes for a car to get from the intersection to the administration building
Step-by-step explanation:
A variable is said to be discrete if and only if it has a countable number of values. While a variable is said to be continuous if it can take infinitely many values.
Option a to d contains discrete variables (1 hour) and (4 blocks), so they can't be regarded as the right option. 1 hour and 4 blocks are specified values and they can't take any other fraction of values aside 1 and 4 respectively.
Looking at option e, the variable, number of minute as stated in this option is a continuous variable. This is so because at any two interval of minutes, fractions and lots of a minute can always be recorded by the engineer to study the traffic flow