Answer:
D) 132°
Step-by-step explanation:
8x+12=5x+57 subtract 5x from both sides
3x+12=57 subtract 12 from both sides
3x= 45 divide by 3 from both sides
X=15
5(15)+57=132°
Answer:
45 degrees
Step-by-step explanation:
A full circle is comprised of 360 degrees, so 360-315=45 degrees.
Answer:

Step-by-step explanation:
we want to figure out the general term of the following recurrence relation

we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e
the steps for solving a linear homogeneous recurrence relation are as follows:
- Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
- Solve the polynomial by factoring or the quadratic formula.
- Determine the form for each solution: distinct roots, repeated roots, or complex roots.
- Use initial conditions to find coefficients using systems of equations or matrices.
Step-1:Create the characteristic equation

Step-2:Solve the polynomial by factoring
factor the quadratic:

solve for x:

Step-3:Determine the form for each solution
since we've two distinct roots,we'd utilize the following formula:

so substitute the roots we got:

Step-4:Use initial conditions to find coefficients using systems of equations
create the system of equation:

solve the system of equation which yields:

finally substitute:


and we're done!
Answer:
y=4x+47
I wanted to wait for the person who originally said the answer but it's been a while and I kinda want the points. Sorry
So you would do,
18 gallons of water divided by 0.5 gallons of water
if you did that correctly you should have gotten... 36 jugs