Answer:
Step 1: Set up the synthetic division. ...
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c by the value just written on the bottom row. ...
Step 4: Add the column created in step 3.
Step-by-step explanation:
In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division. ... The result R = 0 occurs if and only if the polynomial A has B as a factor.
Answer:
your answer is 11
Step-by-step explanation:
The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:
total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3<span>*(100%+4.5%)^4
</span>total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * <span>1.121622319 </span>* 1.1925186
total money= £14,713.11
The approximate solution of this system of equations is
(x,y)=(-0.25,1.25)
<h3>What is an equation?</h3>
Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account.
Given that,
y = |x − 1| and y = 3x+2
y = |x − 1|
= (x-1) , for (x-1)>0 or x>1
and
y = -(x-1) , for(x-1)<0 or x<1
y = -x+1
Now, For x>1
y = x-1 ......(1)
y = 3x+2 ......(2)
Solving for x by equaliting's method:
3x+2 = x-1
→ 3x-x = -1-2
→ 2x = -3
→ x = -3/2
→ x = -1.5 which is <1.
For x<1
y = -x+1 ......(1)
y = 3x+2 ......(2)
Solving for x by equaliting's method:
3x+2 = -x+1
→ 3x+x = 1-2
→ 4x = -1
→ x = -1/4
→ x= -0.25 which is <1.
substitute the value of x = -0.25 in equation 1 for x<1.
y = -x+1
= -(-0.25)+1
y = 1.25
Hence, The approximate solution of this system of equations is
(x,y)=(-1/4,5/4)=(-0.25,1.25).
To learn more about equation from the given link:
brainly.com/question/9475812
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