Answer:
<h3>Hence required integers are 11 and 13</h3>
Let x an odd positive integer
Then, according to question
x^2 +(x+2)^2=290
2x^2 +4x−286=0
x^2 +2x−143=0
x ^2+13x−11x−143=0
(x+13)(x−11)=0
x=11 as x is positive
Hence required integers are 11 and 13
Step-by-step explanation:
Hope it is helpful....
Answer:
See below
Step-by-step explanation:
<u>Given function:</u>
m represents the domain and D represents the range of the function, therefore m = x, D = y
<u>Filling in the table:</u>
- for x = 10, y = 35 + 0.4*10 = 35 + 4 = 39 and so on for the rest of the values
- x = 10, 30, 50, 75, 100
- y = 39, 47, 55, 65, 75
Answer:
x=4
Step-by-step explanation:
Because we know that PQ = RS, we can use the transitive property to replace PQ in the first equation with 29:
9x-7=29
1) Add 7 to both sides:
9x=36
2) divide by 9 on both sides:
x=4
This is an exponential equation that can be represented by the following:
f(x) = a(b)^x
In this case...
25143 = a(0.66)^3
25143 is the population after 3 hours.
3 is the amount of time in hours.
0.66 represents the percent of the population remaining after each hour (66% as there is a 34% decline each hour).
We must solve for a, which is the initial population.
First, simplify (0.66)^3 to 0.2874.
25143 = 0.2874a
Now divide both sides by 0.2874 to isolate a.
a = 87455
There were initially 87,455 people within the city. I wouldn't want to be in that place!
