9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k
Answer:
Let the width of the Rectangle be x inches
Then, length is (3x-5) inches
Perimeter of the Rectangle= 46 inches (given)
According to the above problem,
Equation :---- Perimeter=2(length+breadth)
<u>2{(3x-5)+x}=46</u>
2(4x-5)=46
(4x-5)=46/2=23
4x=(23+5)=28
x=28/4
<u>x=7</u>
So, length of the Rectangle is {(3×7)-5}=16 inches
and width is= 7 inches
percent of increase for a population that changed from 25,000 to 30,000
Increase in population = 30,000 - 25,000 = 5000
So, the increase in population is 5000
To find percent of increase , we divide the increase in population by initial population.
So percent of increase =
* 100
= 0.2 * 100
= 20 %
20% of increase for a population that changed from 25,000 to 30,000.