Answer:
k = -4
Step-by-step explanation:
The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...
f(k) = -15
Looking on the given graph, you find that k must be -4. That is, ...
f(-4) = -15
k = -4
_____
The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.
The right answer is C)
Consistent and independent system of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:
A) Consistent and dependent. If we divide this given equation by 2 we get the same line. (See Figure 1)
B) Inconsistent. No solutions. (See Figure 2)
C) Consistent and Independent. (See Figure 3)
D) Consistent and dependent.
Answer:
b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.
Step-by-step explanation:
Parallel Lines:
Two straight lines l and m are said to be parallel if they do not intersect at any point, if infinitely extended in either direction.
Now, if the graphs of the linear equations in a system are parallel
⇒ By the definition, both the graphs have NO INTERSECTING POINT.
⇒There is not even one common point available to the given system of
equation.
Hence, There is no solution to the given system of equation.
Use the distributive property to multiply −2 by x+1.
Combine 7x and −2x to get 5x.
Subtract 6x on both sides.
Combine 5x and −6x to get −x.
Add 2 to both sides.
Add 14 and 2 to get 16.
Multiply both sides by −1.
<h2>{ Pisces04 }</h2>
