Answer:
The correct option is A
Step-by-step explanation:
Since (1, 3) are the solutions to the function g(x), then
g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3
We know that f(x) is on the same plane and f(1) = 1.
Let's take g(1) = (1 – 1)(1 – 3) = 0
Therefore, when x = 1; f = 1 and g = 0. Hence
g(1) = f(1) – 1
In order words, g(x) could be f(x) – 1.
The correct option is A
Answer:
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
Now that we have our equation, let's distribute the 
and the 
into the parentheses they are next to:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
~
Check your work by substituting 
into one of the equations above:
It's correct!
The overall change in points after three rounds is 5.3 points
Answer:
The area of the remaining board is (<em>x</em>² - 289) sq. ft.
Step-by-step explanation:
Let the sides of the bigger square board be, <em>x</em> feet.
It is provided that a smaller square of side length 17 feet is cut out of the bigger square board.
The area of a square is:
Compute the area of the bigger square board as follows:
Compute the area of the smaller square board as follows:
Compute the area of the remaining board in square feet as follows:
![=[x^{2}-289]\ \text{square ft.}](https://tex.z-dn.net/?f=%3D%5Bx%5E%7B2%7D-289%5D%5C%20%5Ctext%7Bsquare%20ft.%7D)
Thus, the area of the remaining board is (<em>x</em>² - 289) sq. ft.
Answer:
The value of x = 5 and y = 2
The correct answer is last option
Step-by-step explanation:
From the figure we can see that, subtraction of two matrices.
The resultant matrix shows the corresponding terms difference.
<u>To find the value of x
</u>
1/2(x + 3) - (3*(-1)) = 7
x/2 + 3/2 +3 = 7
x/2 +3/2 = 7 - 3 = 4
x + 3 = 8
x = 8 - 3 = 5
x = 5
<u>To find the value of y
</u>
8/2 -3 (y +1) = -5
4 - 3(y +1)/ = -5
3(y +1) = 4 + 5 = 9
y + 1 = 9 / 3 = 3
y = 3 - 1 = 2
Therefore the value of x = 5 and y = 2
The correct answer is last option
