Answer:
4
Step-by-step explanation:
Assuming the points are on a line in the order F, G, H, I, then segment addition tells you ...
... FG + GH + HI = FI
... 2 + GH + 1 = 7
... GH = 7 - 2 - 1
... GH = 4
Answer:
445
Step-by-step explanation:
Theorem: If a function y = f(x) has a real root of b, then (x – b) is a factor of f(x).
As given in the problem, there are two roots: –2 and 1/2. The multiplicity of 1/2 is 2 meaning that the root 1/2 repeats twice. So the function f(x) can be written like this.
f(x) = k• (x – (–2))(x – 1/2)^2 = k•(x + 2)(x – 1/2)^2
We're supposed to find the coefficient k to complete the function.
Given that f(–3) = 5, we can plug –3 in for x and 5 in for f(x).
So 5 = k •(–3 + 2)(–3 – 1/2)^2
5 = k(–1)(–7/2)^2
5 = -k•49/4
Then 5 • 4/49 = -k
Or k = –20/49
So the function with the least degree is
f(x) = –20/49 (x + 2)(x – 1/2)^2.
Answer:
$70
Step-by-step explanation:
According to the problem, calculation of given data are as follows:
Spending money at rate = $5 per day
After 9 days money left = $25
We can calculate the money on day 0 by using following formula,
y = mx + b
Here, y = money left after 9 days
m = rate of spending money
x = number of days
b = money on day 0
So, by putting value, we get
$25 = (-5 × 9 ) + b
b = $25 + $45
= $70
Linda has $900 more than Joe in her bank account