Answer:
a) If a=20 the system has no solutions.
b) If a≠20 the system has exactly one solution.
Step-by-step explanation:
The augmented matrix of the system is
.
Using rows operations we obtain the echelon form of the matrix, ie,
![\left[\begin{array}{cccc}1&2&-3&4\\0&-7&-4&-10\\0&0&a-20&a+4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%26-3%264%5C%5C0%26-7%26-4%26-10%5C%5C0%260%26a-20%26a%2B4%5Cend%7Barray%7D%5Cright%5D)
Since the echelon form of the matrix does not have free variables then the problem has exactly one solution or has no solutions.
a) If a=20 the system has no solutions because in the last equation solving for x3 it has that 0=24. Then the system is inconsistent.
b) If a≠20, the the system has exactly one solution that is obtained solving the system of the echelon form matrix.
Answer:
Answer: Option A F(x)=
Explanation:
Quadratic function is the function which has degree two
Degree is the highest power of a polynomial
In option B we have |x| in which degree is one hence, discarded
In option C we have in which degree is three hence, discarded
In option D we have x which is a linear function being of degree one. Hence, discarded.
Answer:
18/35
Step-by-step explanation:
3/5 ÷ 7/6
3/5 × 6/7
18/35
30% of 42= 3/10*42 Write percent as a fraction.
=126/10 Multiply
=63/5 (Decimal: 12.6) Simplify
Answer: um i think you asked the question wrong. But ok.
Step-by-step explanation:
= 47 miles per hour
This is a fraction equal to
47 miles ÷ 1 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
47 miles ÷ 1
1 hours ÷ 1
=
47 miles
1 hour
=
47 miles
hour
= 47 miles per hour