Help me plz, 13 points! these questions are separate. help me work out both questions please
1 answer:
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Answer:
k=17
Step-by-step explanation:
Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.
The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.
Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.
Now add 10 to this x coordinate , we get x1==
this is x coordinate where the second line meets the x-axis.
The second line is F(x)=2x-k.
now f(x)=0 and x=17/2
On substitution we get
k=17
The remainder of the equation is .
Given that,
When the equation is divided by
.
We have to find,
The remainder of the equation?
According to the question,
The equation is divided by
.
On the division of the polynomial, the remainder is,
Factorize the equation to convert this into the simplest form,
Now, the equation can be written as,
The relation between the divisor, remainder, and quotient is,
On comparing with the equation,
The remainder becomes 28x +30.
Hence, The required remainder of the equation is .
For more details refer to the link given below.