Answer:
(7x-1)-3(7x-1)
Step-by-step explanation:
First write out the problem
7x^2-22x+3
Next, Factor the expressions
7x^2 - x - 21x + 3
Now factor the whole thing
x(7x-1)-3(7x-1)
Answer:5,000
Step-by-step explanation:
Answer:
yp = -x/8
Step-by-step explanation:
Given the differential equation: y′′−8y′=7x+1,
The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)
First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;
y′′−8y′=0
The auxiliary equation will give us;
m²-8m = 0
m(m-8) = 0
m = 0 and m-8 = 0
m1 = 0 and m2 = 8
Since the value of the roots are real and different, the complementary solution (yc) will give us
yc = Ae^m1x + Be^m2x
yc = Ae^0+Be^8x
yc = A+Be^8x
To get yp we will differentiate yc twice and substitute the answers into the original DE
yp = Ax+B (using the method of undetermined coefficients
y'p = A
y"p = 0
Substituting the differentials into the general DE to get the constants we have;
0-8A = 7x+1
Comparing coefficients
-8A = 1
A = -1/8
B = 0
yp = -1/8x+0
yp = -x/8 (particular integral)
y = yc+yp
y = A+Be^8x-x/8
Answer:
Arc AC = 90°
Step-by-step explanation:
Postulate:
The measure of an arc will ALWAYS be equal to the measure of the central angle of the circle.
The angle of arc AC is marked with a square.
That square mark means it is 90°.
So the arc would also measure 90°.
Cheers
Answer:
Sarah can have the plumber work on her faucet for six (6) hours maximum
Step-by-step explanation:
Hi
As Sarah has only $234.50 in her savings and the plumber charges $50 just to come to her home, so left-over $184.50 of her saving for pay work hours.
Then as the plumber charges $30.75 per hour we have that 
is the maximum amount of hours that Sarah can have the plumber work on her faucet.
