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trasher [3.6K]
3 years ago
7

If f(x) = 1 – x2 + x3, then f(-1) =

Mathematics
1 answer:
Monica [59]3 years ago
4 0

Answer:

Step-by-step explanation:

f(-1)= 1 - (-1)^2 + (-1)^3 = 1 - 1 - 1 = 0 - 1 = -1

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A car travels 200 km in 2 hours, 240 km in the next 2 hours, and then 100 km the final 1 hour of its trip before reaching its de
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2logx=3-2log(x+3) solve for x​
AVprozaik [17]

Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

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x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D

6 0
3 years ago
A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 51 miles a
EleoNora [17]
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Read 2 more answers
A vertex of square is at(1,1) and its two parallel sides are y=x and y=x+1. find the equation of the remaining sides.Show your w
belka [17]

Answer:

\displaystyle y  =   - x  +  2

y =  - x  +1

Step-by-step explanation:

we are given a vertex of a square i.e <u>(</u><u>1</u><u>,</u><u>1</u><u>)</u>

and the equations of the two parallel sides

notice that, the given vertex coordinates satisfy one of the parallel side i.e <u>y=</u><u>x </u>which means that (1,1) points lie on one of Parallel sides

remember that,

every angles of a square is <u>9</u><u>0</u><u>°</u><u> </u>

therefore,

we need to figure out the remaining <u>Perpendicular</u><u> </u><u>line </u><u> </u>of the given Parallel sides so

let's figure out the perpendicular line of y=x line

recall that,

Parallel lines have the same slope thus

\displaystyle  m_{  \rm perpedicular} =  - 1

since we are given a vertex the equation of the perpendicular line should be

\displaystyle y - 1 =  - 1(x - 1)

distribute:

\displaystyle y - 1 =  - x  +  1

add 1 to both sides:

\displaystyle y  =   - x  +  2

to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation

so the slope of the perpendicular line is -1

and the equation:

y - 0.5 =  - 1(x - 0.5)

distribute:

y - 0.5 =  - x  +0 .5

add 0.5 to both sides:

y =  - x  +1

and we are done!

4 0
3 years ago
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