Answer:
r = p(-b/a)
Step-by-step explanation:
Let p(x) = q(x)(ax + b) + r(x) where q(x) is the quotient when p(x) is divided by ax + b and r(x) is the remainder.
Since ax + b is a first degree polynomial, r(x) is one power less than ax + b is is just a constant, r.
So, p(x) = q(x)(ax + b) + r
Now, p(x) = r when q(x)(ax + b) = 0
since q(x) ≠ 0, ax + b = 0 ⇒ ax = -b ⇒ x = -b/a
⇒ p(x) = r when x = -b/a
So, r = p(-b/a)
So, the remainder when a polynomial function p(x) is divided by a first degree polynomial ax + b is p(-b/a)
Answer:
The answer is 1. an exponential pattern ,friend (:
X+y=z
Brainliest? Pls like pretty please
This is a system of equations problem, so we need two equations to represent each case:
5s+5L=155
10s+12L=346
Now we isolate one of the variables.
5s = 155 - 5L
s = 31 - L
Now we substitute s in the other equation with this equation.
10(31-L) + 12L = 346
310-10L + 12L = 346
2L = 36
L = $18
Now to find s we need to plug L into one of the equations.
10s + 12(18) = 346
10s + 216 = 346
10s = 130
s = $13
A large box costs$18 and a small box costs $13
Hope this helps.
Answer:F + S = 124
Step-by-step explanation:
Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)
Now, we can solve the system of equations using substitution.
F + S = 310
.06F + .11S = .08(310)
F = 310 - S [solve 1st equation for F]
.06(310 - S) + .11S = .08(310) [substitute into 2nd equation]
18.6 -.06S +.11S = 24.8
.05S = 6.2
S = 124
