I) Find the quotient and the remainder when 2x³-3x²+3x+2 is divided by x²-2x+1.ii) write 2x³-3x²+3x+2 in the form ax+b+(cx+d)/(x²-2x+1)
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Convert 129/7 into a mixed number
The sale price of shrimp at a local grocery store is $1.15 for the first ounce and $0.95 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?A - y = 1.15x + 0.95 B - y = (0.95 + 1.15)x C - y = 0.95x + 1.15 D - y = 0.95(x - 1) + 1.15
The nth term of the quadratic sequence is 3n² - 10 work out the 5th term of this sequence . NEED HELP
Amy got a $1,000 loan from her bank, and she had to repay $1,550. What are the principal and interest amounts in this transaction?
x = four plus or minus the square root of eleven
x = negative four plus or minus the square root of five
x = four plus or minus the square root of five
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Answer:
Option 2
Step-by-step explanation:
We have been given a quadratic equation
First step in completing method square is to make the coefiicient of 1
Since, in given quadratic equation coefficient of is already 1. we will proceed to the next step which is add and subtract square of the half of coefficient of x in given quadratic equation.
Here, half of coefficient of x that is 8 would be 4 so we will add and subtract in given quadratic equation we will get
Now, we will proceed to the third step that is making the whole square formula according to the terms
Here, we can see that we are geeting the formula of from
The equation will become
After simplifying we will get
After further simplification we will get
After more simplification we will get
Hence, we will get the value of x which is
The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11
Option B is the correct answer.
We have,
To solve the quadratic equation x² - 8x + 5 = 0 using the
completing-the-square method, follow these steps:
Move the constant term (5) to the other side of the equation:
x² - 8x = -5
Take half of the coefficient of the x-term (-8) and square it:
(-8/2)² = 16
Add the squared value to both sides of the equation:
x² - 8x + 16 = -5 + 16
x² - 8x + 16 = 11
Rewrite the left side of the equation as a perfect square:
(x - 4)² = 11
Take the square root of both sides, considering both positive and negative square roots:
x - 4 = ±√11
Solve for x by adding 4 to both sides:
x = 4 ± √11
Therefore,
The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11
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The Measurement of Line GX will be 13 and ∠ABX will be 22°
What is the right-angle triangle?
A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, Point X is the incenter of ΔABC. Triangle A B C has point X as its incenter. Lines are drawn from the points of the triangle to point X.
Also Given :
EX = 4z + 1 and XF = 2z + 7
Solution :
Take EX and XF equal time each other and then solve for z and then you will get GX because EX = XF = GX is congruent.
EX = XF
4z + 1 = 2z + 7
2z = 6
z = 3
As, EX = XF = GX
EX = 4(3) + 1
EX = 13
Thus, GX = 13 ------ ( EX = XF = GX )
To find the ∠ABX, divide ∠ABC them by 2 you will get
∠ABX = 22°
Therefore, The Measurement of Line GX will be 13 and ∠ABX will be 22°.
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Answer:
The first one is 13.
The second one is 22.
Step-by-step explanation:
I took the test I know this is correct. :)
person’s age. Doctors recommend exercising 3 or 4 times each week for at least 20 minutes
with your heart rate increased from its resting heart rate (RHR) to its training heart rate
(THR), where THR = RHR + .65(MHR – RHR)
Which of the following is closest to the THR of a 43-year-old person whose RHR is 54 beats
per minute?
A. 197
B. 169
C. 162
D. 134
E. 80
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For a 43 year old person, MHR = 220 - 43 = 177
THR = 54 + 0.65(177 - 54) = 54 + 0.65(123) = 54 + 79.95 = 133.95 ≈ 134.
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The coordinates of C’ will be (_____).
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Answer:
A will be (2,0) and C will be (-2,-2)
Step-by-step explanation:
I took the assignment.
Answers
Answer:
x=10
Step-by-step explanation:
3(4x-12) = 84
Divide each side by 3
3/3(4x-12) = 84/3
4x-12 =28
Add 12 to each side
4x-12+12 = 28+12
4x= 40
Divide each side by 4
4x/4 = 40/4
x = 10