The slope is -0.8 and all values of x are > -3
So its the last option.
This question can be also asked as what is the scientific notation of the number 240,000. The scientific notation is written as <span>a whole number multiplied by the power of ten. It should be written as follows:
2.4 x 10^5
Hope this helps. Have a nice day.</span>
Answer:
x^2−6x+9
Step-by-step explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax^2 + bx + c
Rewrite (x - 3)^2 as (x -3) (x-3).
(x - 3) (x - 3)
expand (x - 3 ) (x - 3) using the FOIL method
Apply the Distributive property
x (x - 3) - 3 (x - 3)
again
x * x + x * -3 - 3 (x- 3)
and again
x * x + x * -3 - 3x - 3 * -3
then simplify and combine like terms
- Multiply x by x
x^2 + x * - 3 - 3x -3 * -3
- Move -3 to the left of x
x^2 - 3 * x - 3x - 3 * -3
Multiply -3 by -3
x^2 - 3x - 3x + 9
Subtract 3x by -3x
x^2 - 6x + 9
Hope that helps!
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...
3x' -y' = 13/10
x' +2y' = 9/10
Adding twice the first equation to the second, we get ...
2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)
7x' = 35/10 . . . . . . simplify
x' = 5/10 = 1/2 . . . . divide by 7
Using the first equation to find y', we have ...
y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5
So, the solution is ...
x = 1/x' = 1/(1/2) = 2
y = 1/y' = 1/(1/5) = 5
(x, y) = (2, 5)
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The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.