X<-7 so the answer would be greater*
Answer: 1000
Step-by-step explanation:
The number of combinations is equal to the product of the number of options for each tumbler.
Each tumbler has 10 possible numbers, and we have 3 tumblers, then the number of combinations is:
C = 10*10*10 = 10^3 = 1000
We have 1000 possible codes for the lock.
Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Answer:
x - 2
Step-by-step explanation:
distributive property first since you stick with parentheses first (PEMDAS)
so 3x - 6 is what it would be.. then you would want to think of the equation as 5x - 3x - 2 - x. seems somewhat complicated but to others not so much.
Next you’re gonna just want to subtract, but you should probably make the problem easier so you can just subtract across right? it’d be 5x - 3x - x - 2. that way all the x variables are together and anything else is separate.
5x - 3x is 2x - x or - 1x is x or 1x.
i think just using the variable x for it being 1 is easier so now we have the problem x - 2.
anything else? nope! that’s the simplified equation.
hope that i was able to help :)