![\displaysyle (\sqrt 2)^{3}=(2^{\frac{1}{2}})^3=2^{\frac{1}{2} \cdot 3}=2^{\frac{3}{2}}=\sqrt {2^3}=\sqrt 8](https://tex.z-dn.net/?f=%20%5Cdisplaysyle%20%28%5Csqrt%202%29%5E%7B3%7D%3D%282%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%29%5E3%3D2%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%5Ccdot%203%7D%3D2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%3D%5Csqrt%20%7B2%5E3%7D%3D%5Csqrt%208%20)
√8 is between 2 and 3, because 2²=4<8, but 3²=9>8. Also, our value is closer to 3 than to 2, so it is more than 2.5 and we have C and D options left.
Among these two numbers we find the one which is closer to √8.
C. 27=√729 ⇒ 2.7=√7.29
D. 28=√784 ⇒ <u>2.8=√7.84</u>
Hence our answer is D) 2.8
Answer:
-72
Step-by-step explanation:
The answer is -72 because 8 * -9 = -72, I can't explain it to you any other way ;-;
Asked and answered elsewhere.
brainly.com/question/10192511Knowing that 1+2i is a root, you also know that 1-2i is a root, so one quadratic factor is
(x -1)² -(2i)² = x^2 -2x +5
Long division of the given polynomial by this quadratic gives a quotient of
x² +9
which has roots ±3i.
Then all
the roots are {-3i, 3i, 1-2i, 1+2i}.
Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the y-intercept.
Given the first equation:
![y=- 6x - 2](https://tex.z-dn.net/?f=y%3D-%206x%20-%202)
You can identify that:
![m=-6\\b=-2](https://tex.z-dn.net/?f=m%3D-6%5C%5Cb%3D-2)
By definition, the line intersects the x-axis when
. Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:
![0=- 6x - 2\\\\2=-6x\\\\x=-\frac{1}{3}\\\\x=-0.333](https://tex.z-dn.net/?f=0%3D-%206x%20-%202%5C%5C%5C%5C2%3D-6x%5C%5C%5C%5Cx%3D-%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5Cx%3D-0.333)
Now you can graph it.
Solve for "y" from the second equation:
![y +2=- 6x\\\\y=-6x-2](https://tex.z-dn.net/?f=y%20%2B2%3D-%206x%5C%5C%5C%5Cy%3D-6x-2)
You can identify that:
Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations has<u> Infinitely many solutions.</u>
See the graph attached.
Sorry that is not a linear model. There is not a constant rate of change. Are you sure you copied it correctly