Answer:
x≤10
Step-by-step explanation:
Answer: m = 27, b = 6
Step-by-step explanation:
1. Start by combining like terms
6 + 27x = y
2. Rearrange into standard form (y = mx +b)
y = 27x +6
Interpret the values:
m = slope -> 27
b = y-intercept -> 6
Answer:
14400
Step-by-step explanation:
We have 2 groups of 5 elements each
there is a condition all boys will be ahead always, therefore in the group of boys there are
5! = 5*4*3*2*1 = 120 differents form
And the girls at the same time can change theirs places according to
5! = 120
Then total ways for the line up in the conditions of the statement of the problem are
T = 120*120
14400
D. 105
Alternate interior angles are congruent so angle A is congruent to angle B
Answer:
Step-by-step explanation:
Synthetic division is one way to determine whether or not a given number is a root of the quadratic. x^2 − 12x − 20 can be rewritten as x^2 - 12x + 36 - 36 - 20, or (x - 6)^2 - 56, which does not have integer solutions:
(x - 6)^2 - 56 = 0 becomes (x - 6)^2 = 56, which works out to x - 6 = ± 2√14.
None of the possible roots suggested in this problem turns out to be an actual root.
correct response: PRIME