Answer:
(-6, -5).
Step-by-step explanation:
If there is a zero between the integers there will be a change of sign of f(x).
x^3 + 5x^2 - x - 6
f(1) = 1 + 5 - 1 - 6 = -1
f(-1) = -1 + 5 + 1 - 6 = -1
f(2) = 8 + 20 - 2 -6 = 20
There' a change of sign between f(1) and f(2) so there is a zero between (1, 2).
f(-2) = -8 + 20 + 2 - 6= 6
So there is also a zero between -1 and -2. (-2, -1)
F(-4) = 14, f(-5) = -1 = change of sign so there is also a zero in (-5,-4)
f(-6) = -36 - no change in sign between -5 and -6.
Step-by-step explanation:
x2 + 2xn + n2
x2 + xn + xn + n2
x(x + n) + n (x + n)
So (x + n)^2 is the factor
Answer:
x = 13°
Step-by-step explanation:
Check the diagram attached below to see how the angles labelled A and B, which are interior angles of the triangle where x is found.
Let's find the measure of angle A and angle B.
m<A = 85° (vertical angles are congruent)
m<B = 180° - 98° = 82° (corresponding angles/supplementary angles)
Thus:
x + A + B = 180° (sum of interior angles of a ∆)
x + 85° + 82° = 180° (substitution)
x + 167 = 180
x = 180 - 167 (Subtraction property of equality)
x = 13°
Answer:
The ticket increased 57% of its original price
The baggage price was 44.5 increased 0.11% and then became 50
Step-by-step explanation:
So if the amount was 200 and now is 350, we should use division.
200 ÷ 350 = 0.5714285714285714 which you can round to 0.57 or as many digits as the question asked for. In thise case I will use 0.57
0.57 converted to percentage is 57%
About the second question
now you know the amount after increase and the percentage. So all you have to do is reverse.
11% = 0.11
0.11 ✕ 50 = 5.5
this means the price increased 5.5
50 - 5.5 = 44.5
Answer: 36°
Step-by-step explanation:
