Answer:
A) D + Q = 50
B) .10D + .25Q = 7.10
We multiply A) by -.10
A) -.10D - .10Q = -5 then adding this to B)
B) .10D + .25Q = 7.10
.15Q = 2.10
Quarters = 14 = 3.50
Dimes = 36 = 3.60
Step-by-step explanation:
Answer:
x = -6, 6
Step-by-step explanation:
Isolate the variable, x. Find factors of all terms on the left:
x² + 36 = 0
x 6
x 6
(x + 6)(x + 6) = 0
Solve for x:
(x + 6) = 0
x + 6 = 0
x + 6 (-6) = 0 (-6)
x = -6
x² + 36 = 0
x -6
x -6
(x - 6)(x - 6) = 0
Solve for x:
x - 6 = 0
x - 6 (+6) = 0 (+6)
x = 6
x = -6 , 6.
~
Answer:
n=-3
m=1
Step-by-step explanation:
get m by itself then plug it in for the other m and solve, then solve for n.
Answer:
The 2 numbers are 512.8 and 487.2.
Step-by-step explanation:
Let the numbers be x and y, then:
x + y = 1000............(1)
x^2 - y^2 = 25600
(x + y)(x - y) = 25600
1000(x - y) = 25600
x - y = 25.6............(2)
Adding (1) + (2):
2x = 1025.6
x = 512.8
so y = 1000 - 512.8
y = 487.2.
The required function of the situation is f(x) = 2670x.
Step-by-step explanation:
Given,
Population is = 3000
Evert year it is decreased by 11%.
To find the function of the given situation.
Formula
If the original population is a and is decreased by b% the population after 1 year will be a×
After x year the population will be = a××x = 
Now,
Let after x years the population will be,
f(x) = 3000x×
= 2670x
Hence,
The required function of the situation is f(x) = 2670x.
