What polynomial must be added to x^2-2x+6 so that the sum is 3x^2+7x?

Answers

Answer 1
Answer: 2x^2+9x-6 i found this by subtracting 3x^2+7x from the other equation

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Describe the long-term behavior of f(x)= (3x^3+2x-8)/(x^2+x)a. horizontal asymptote at y=3

b. Slant asymptote with a slope of 3

c. Slant asymptote at y= 3x

d. none of the above

Answers

check the picture below.

so that's the graph of that rational equation.

clearly it doesn't have an asymptote at y = 3, it does have an slant asymptote, notice the line on the right-side is slanted about some asymptotic border, well, if we do long division on the rational, the quotient is the equation of the slant asymptote.

it just so happen the long division gives us a quotient of 3x - 3, with a remainder of 5x - 8.

so it has a slant asymptote, but is at y = 3x - 3.

so I take is none of the above.

16,900,000 in scientific notation

Answers

16,900,000 in scientific notation is 16.9 times 10^7.

When you move the decimal point to the 1, it goes 7 spaces to the left, so the exponent will be a positive 7.

What is the range in the number 11, 10, 12, 16, 15, 18

Answers

Answer:

subtract the smallest number from the largest number

Please Help Will Give Brainliest If Correct!The line segment shown is rotated 90° about the origin (counterclockwise). What are the new coordinates of point A?

A) (2, 1)
B) (-2, 1)
C) (-2, -1)
D) (1, 2)

Answers

Point A before being rotated = (1,-2)

A point (x,y) is rotated counterclockwise by 90°. The result will be (-y,x)

If point (1,-2) rotated counterclockwise by 90°, the result will be (2,1)

ANSWER: A. (2,1)

How do I solve a quadratic equation like this: x squared minus 9x = -14?

Answers

x^2-9x=-14\n\nx^2-9x+14=0\n--------------------\n-9=-7+(-2)\n14=-7\cdot(-2)\n--------------------\n\nx^2-9x+14=(x-7)(x-2)\n\n(x-7)(x-2)=0\iff x-7=0\ or\ x-2=0\n\nx=7\ or\ x=2



x^2-9x+14=0\n\na=1;\ b=-9;\ c=14\n\n\Delta=b^2-4ac\n\n\Delta=(-9)^2-4\cdot1\cdot14=81-56=25\n\nx_1=(-b-\sqrt\Delta)/(2a)\to x_1=(9-√(25))/(2\cdot1)=(9-5)/(2)=(4)/(2)=2\n\nx_2=(-b+\sqrt\Delta)/(2a)\to x_2=(9+√(25))/(2\cdot1)=(9+5)/(2)=(14)/(2)=7
Bring everything over to one side.
    x² -9x=-14
x²-9x+14=0
Now it is an easy trinomial so you need to find two numbers that add up to -9 and multiply to equal 14. The two numbers are -7 and -2. 
 x²-9x+14=0
 (x-7)(x-2)=0
            x= 7 and 2

6.5 ft 6 ft- 11 ft N 5 ft What is the surface area? A 258 square feet B 195 square feet C 228 square feet D 330 square feet​

Answers

Answer:

Step-by-step explanation:

area of base = 5×11 = 55 ft²

area of triangle = ½×5×6 = 15 ft²

area of rectangular face = 6.5×11 = 71.5 ft²

surface area = 55 + 2×15 + 2×71.5 = 228 ft²