Answer:
First Inverse function= f^-1(x)=x/3-5/3
Second Inverse function=f^-1(x)=x/3-5/3
Step-by-step explanation:
This is the eqn of a str line. <span>y+4=12/7(x-1) would be clearer if written as
</span><span>y+4=(12/7)(x-1). y+4 = (12/7)x - 12/7.
Multiply all terms by 7 to remove the fractions: 7(y+4) = 12x - 12.
Complete the multiplication: 7y + 28 = 12x - 12.
Arrange the x and y terms on the left side and the constants on the right:
-12x + 7y = -40. This is standard form. Some people might disagree and say that -12x + 7y + 40 is standard form. They are equivalent.
</span>
First, how much did you spend on the 8 gumdrops at 2 cents a piece?
8 gumdrops at 2 cents a piece is 16 cents
8 gumdrops x 2 cents = 16 cents
So, if you have 16 cents to spend on gumdrops and they are 8 cents a piece, how many can you buy?
16 / 8 = 2
You can buy 2 gumdrops for the same amount of money.
What we know:
Acct. balance A (11)= $2,976.45
Pricipal=$1,963.45
Compounded (n)=quarterly (4)
rate=r
Compound interest formula: A (t)=p (1+r/n)^nt
What we need toi find:
If the interest compounds quarterly, what is the interest rate on the account? Find r.
A (t)=p (1+r/n)^nt
2976.45=1963.45 (1+r/4)^(4×11)
2976.45=1963.45 (1+r/4)^44
2976.45/1963.45=1963.45/1963.45 (1+r/4)^44
1.5159=(1+r/4)^44
(1.5159)^(1/44)=((1+r/4)^44)^(1/44)
1.0095=1+r/4
1.0095-1=1-1+r/4
.0095=r/4
.0095(4)=r/4 (4)
.038=r
Rate = 3.8%
x=23
Simplifying
(3x + -50) + (7x)
Reorder the terms:
(-50 + 3x) + (7x)
Remove parenthesis around (-50 + 3x)
-50 + 3x + (7x) =
Combine like terms: 3x + (7x)
-50 + 10x
Solving
-50 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 10x = 180 + 50
Combine like terms: -50 + 50 = 0
0 + 10x = 180 + 50
10x = 180 + 50
Combine like terms: 180 + 50 = 230
10x = 230
Divide each side by '10'.
Simplifying
x = 23
