Answer:
(-3,-20)
Step-by-step explanation:
4 +8x = y ...... equation (1)
6x - y = 2 ........equation(2)
from equation 2
6x - y = 2
6x -(4+8x) =2
6x - 4 + 8x = 2
+4 +4
6x - 8x = 6
-2x=6
divide by -2
x= -3
put x in equation (1) to solve for y
4 + 8x = y
4+8(-3)=y
4-24=y
-20=y
y= -20
solution = (-3,-20)
Answer:
x=2
Step-by-step explanation:
i would set up a system of equation using the pythagorean theorem:
1^2+x^2=z^2
4^2+x^2=y^2
Add up these equations to get:
17+2x^2=y^2+z^2
But notice that
y^2+z^2=5^2
So you can substitute
17+2x^2=25
2x^2=8
x^2=4
x=2
:)
Answer:
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
Step-by-step explanation:
This is a geometric sequence.
a%5B1%5D=1.5m=150cm, r=0.74
The formula is
a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29
Just substitute a1 = 150cm and r = 0.74
a%5Bn%5D=150%280.74%29%5E%28n-1%29
That's the rule.
For the second part, substitute n = 6
cm.
Answer:
The equation that models this scenario 
Step-by-step explanation:
First we convert 50 cent into dollar,
1 cent =
dollar
1 cent = 0.01 dollar
50 cent = 0.5 dollar
According to question,
x is the number of 50¢=$0.5 price increases.
b(x) is the revenue generated
He currently charges $3 per book.
i.e. price of book = 3+0.5x
Quantity or average = 38 per day
According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.
i.e. quantity became 38-4x
Revenue = Price × Quantity
The required equation is given by,
