Answer:
P(x) = x³ - 3x² - 5x + 15
Step-by-step explanation:
∵ The roots of the polynomial are -√5 , √5 , 3
∴ The polynomial has 3 factors:
(x - √5) , (x + √5) , (x - 3)
∴ P(x) = (x - √5)(x + √5)(x - 3)
= (x² + √5x - √5x - 5)(x - 3)
= (x² - 5)(x - 3) = x³ - 3x² - 5x + 15
∴ P(x) = x³ - 3x² - 5x + 15
Answer:
Q = -5/8 * 2/3
Multiply both numbers like your multiplying actual numbers.
<em><u>(-5 * 2)/(8*3)</u></em>
<h2><em><u>
</u></em></h2><h2><em><u>
A = -10/24 = -5/12</u></em></h2><h2><em><u>
Hope this helps</u></em></h2>
Answer:
C) 113 m^2
Step-by-step explanation:
diameter/2 =radius = 12/2 = 6
area = 6^2(3.14) = 6x6x3.14 = 113 m^2
What this question simply asks about is you write the numbers it gave you in only one digit by 10 to the power of n. Where n represents the number of shifts of the decimal point.
And to get this number to be one digit, then you have to approximate.
To approximate; you should always consider that less than 5 counts zero and 5 or more counts+1.
Example:
5.3 is approximately 5
5.5 is approx. 6
5.9 is also approx. 6
and so on.
So the final answers are;
1) 4*10^13
2) 5*10^-11
Please note that 10^positive integer will cause the decimal point to move to the right which means a number greater than 1, usually, while 10^negative integer means number smaller than 1, usually.
Hope this helps.
Answer:
The coordinates of the image point will be (-2,-4).
Step-by-step explanation:
The reflection of the point (2,-4) over the y-axis is to be determined.
Now, as the reflecting mirror is the y-axis, then the y-coordinate of the reflecting point will not change.
So, the image point will have coordinates (h,-4).
Now, after the reflection over the y-axis, the x-coordinate of the image point will change the sign only compared to the original point.
Therefore, the coordinates of the image point will be (-2,-4). (Answer)