Answer: 45
Step-by-step explanation:
Explanation:
f(x) = (x-4)(x+2)
1) For x-intercept, y will be 0
<u />
<u>x-intercept</u>: (4, 0), (-2, 0)
2) For vertex: x = -b/2a where ax² + bx + c
<u>Quadratic function</u>:
<u>vertex</u>:
y: (x-4)(x+2) = (1-4)(1+2) = -9
ordered pair of vertex: (1, -9)
3) For y-intercept, x will be 0
<u>y-intercept</u>: (0, -8)
42 I think I’m not really sure
Answer:
Step-by-step explanation:
Given that during the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this period, P(t) remained close to the solution of the initial value problem.

a) 1930 population is the population at time t = 40 years taking base year as 40
We can solve the differential equation using separation of variables

Resolve into partial fractions

Integrate to get
ln P -0.00474/0.0001489 (ln (0.0001489P-0.03135) = t+C
ln P -31.833 (ln (0.0001489P-0.03135) =t+C

Limiting population would be infinity.
<em> 195 yards²</em>
- Step-by-step explanation:
<em><u>Area of rhombus (formula)</u></em>
<em>A = (d₁ₓd₂)/2</em>
<em>d₁ = 2ₓ7,5yd = 15 yd</em>
<em>d₂ = 2ₓ13yd = 26 yd</em>
<em>A = (15ydₓ26yd)/2</em>
<em>= 15ydₓ13yd</em>
<em>= 195 yards²</em>