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Answer:
1. No solution
2. Infinite solutions
Step-by-step explanation:
1. To solve the system, set the equations equal to each other and solve for x.
2x - 5 = 2x + 7
-5 = 7
This is a false statement. This means there is no solution.
2. To solve the system, graph each equation.
y = -3/4 x - 5/2 has a y-intercept -5/2 and slope -3/4.
3x + 4y = -10 converts to y = -3/4x -5/2.
This graphs as the exact same line. This system has infinite solutions.
The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.
In fact, if you use complex number, then a polynomial with degree n has exactly n roots.
So, in particular, a third-degree polynomial can have at most 3 roots.
In fact, in general, if the polynomial
has solutions
, then you can factor it as

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

But this is a fourth-degree polynomial.
Answer:
Option D. h(2) = 16
Step-by-step explanation:
Verify each statement
case A) h(8) = 21
The statement is false
Because
we know that
h(8)=19 -----> given value
and
If h(8) = 21 then f(x) is not a function
case B) h(13) = 18
The statement is false
Because x=13 not belong to the domain of the function
case C) h(-3) = -1
The statement is false
Because
x=-3 belong to the domain
but
h(-3)=-1 not belong to the range of the function
case D) h(2) = 16
The statement could be true
Because
x=2 ----> belong to the domain of the function
h(2)=16 ----> belong to the range of the function
Answer:
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Step-by-step explanation: