Answer:
Counterclockwise rotation
Step-by-step explanation:
It’s counter clockwise rotation because The clock was 30minutes faster , so she turned the minute hand backwards to correct the clock. Counterclockwise is opposite of clockwise
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
Option C:
is the product of the rational expression.
Explanation:
The given rational expression is 
We need to determine the product of the rational expression.
<u>Product of the rational expression:</u>
Let us multiply the rational expression to determine the product of the rational expression.
Thus, we have;

Let us use the identity
in the above expression.
Thus, we get;

Simplifying the terms, we get;

Thus, the product of the rational expression is 
Hence, Option C is the correct answer.
Step-by-step explanation:
x²-3=0
x²=3
x=√3
<h2>stay safe healthy and happy.</h2>
Answer:
C
Step-by-step explanation:
3x^2 * -x =-3x^3
3x^2 * 2. =6x^2
4x* -x =-4x^2
4x * 2 = 8x
-5 * -x = 5x
-5 * 2 = -10
6x^2 + -4x^2 = 2x^2
8x+5x = 13 x
Ans: -3x^3 + 2x^2 + 13x -10