Answer:
negative
Step-by-step explanation:
Answer:
X = 6.25 ft.
Step-by-step explanation:
From the figure:
∵ Two angles in the small flag = the corresponding angles in the large flag
∴ Two flags are similar
∴ Their sides are proportional
∴
∴ x = 6.25 ft
It would take 26 years.
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have
Amy = x
Betty = y
Carl = z
x + y = 29
x + z = 27
y + z = 22
y = 29 - x
z = 27 - x
29 - x + 27 - x = 22
-2x + 56 = 22
-2x = - 34
x = 17
y = 12
z = 10
Oldest child is Amy (17) and youngest child is Carl (10)
17 - 10 = 7
The difference between oldest child and youngest child is 7 years.
x^2 - 75 = -10x
<em><u>Add 10x to both sides.</u></em>
x^2 + 10x - 75
<em><u>Check if splitting the middle term is possible.</u></em>
<em><u>Display factors of -75.</u></em>
1 * -75
-1 * 75
-5 * 15 < (this meets the criteria)
<em><u>Split the middle term.</u></em>
x^2 - 5x + 15x - 75
<em><u>Factor each binomial.</u></em>
x(x - 5) + 15(x - 5)
<em><u>Combine factors.</u></em>
(x + 15)(x - 5) is the completely factored form of the provided quadratic.