Answer:
Step-by-step explanation:
2(6x² - 3) = 11x² - x
2*6x² - 2*3 = 11x² - x
12x² - 6 = 11x² -x
Subtract 11x² from both sides
12x² - 11x² - 6 = -x
x² - 6 = -x
x² + x - 6= 0
Sum =1
Product = -6
Factors = 3 , (-2) { 3*(-2) = -6 & 3 +(-2) = 1}
x² + 3x - 2x - 6 = 0
x(x + 3) - 2(x + 3)= 0
(x +3)(x - 2) = 0
let me edit your question as:
Which two equations are true?
<u>Eq1:</u>
(2×10−4)+(1.5×10−4)=3.5×10−4(3×10−5)+(2.2×10−5)
<u>Eq2:</u>
6.6×10−10(6.3×10−1)−(2.1×10−1)=3×10−1(5.4×103)−(2.7×103)
<u>Eq3:</u>
2.7×103(7.5×106)−(2.5×106)=5×100
Answer:
No one is true
Step-by-step explanation:
let's check each equation, if the values on both sides (left and right side) are equal then the equation is true otherwise false.
Using PEMDAS rule we are simplifying the equations as;
<u>Eq1:</u>
<u>Eq2:</u>
<u></u><u></u>
<u>Eq3:</u>
<u>we observed that none of the equation has two same values on both sides thus none of the three equations is true.</u>
<u>Also, no value of Eq1, Eq2 or Eq3 are same thus none of the equation is true</u>
The wood is 10 inches and you're cutting it into 1/2 pieces, so divide 10 by 1/2, which is 20, The carpenter can cut 20 dowels.
Answer:
x = -7
Step-by-step explanation:
-2x - 10 = 4
-2x = 14 | Add 10 to both sides
x = -7 | Divide both sides by -2
Answer:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_
Step-by-step explanation:
In this problem the amplitude of the sinusoidal function is given by the length of the blades.
The mill is 40 feet above the ground, therefore the function must be displaced 40 units up on the y axis. So:
We know that the blades have an angular velocity w = 3 rotations per minute.
One rotation =
1 minute = 60 sec.
So:
Finally:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_