Answer:
The bag contains $2.39
Explanation 40% of 50 coins is 20 dimes which equals 2 dollars
8 percent is 4 pennies
2.00+ .04 is 2.04
Plus 7 nickels because there are 3 more nickels than pennies 7*5= 35
2.04+.35= 2.39
<span>divide both sides of the equation by 2 to get:
(x + 1/4)^2 = -7/16 ***** this is your solution.
continue further to solve for x if you care to, but the problem did not require you to do this.
take the square root of both sides of the equation to get:
x + 1/4 = plus or minus sqrt(-7/16)
subtract 1/4 from both sides of the equation to get x = -1/4 plus or minus sqrt(-7/16).
since sqrt(-7/16) is the same as sqrt(7/16) * i, your solution becomes:
x = -1/4 plus or minus sqrt(7/16) * i.
your problem was to convert it to the form of (x + p)2 = q.
the solution to that is:
</span><span>(x + 1/4)^2 = -7/16 </span><span>subtract 1 from both sides of the equation to get:
2x^2 + x = -1
factor out a 2 on the left side of the equation to get:
2 * (x^2 + x/2) = -1
complete the squares on x^2 + x/2 to get:
2 * ((x+1/4)^2 - (1/16)) = -1
simplify by distibuting the multiplication to get:
2 * (x+1/4)^2 - 2*(1/16) = -1
simplify further to get:
2 * (x+1/4)^2 - 1/8 = -1
add 1/8 to both sides of the equation to get:
2 * (x + 1/4)^2 = -7/8 .
</span>
Answer:
b is 4 e is 5 a is 6
Step-by-step explanation:
Im biggest brain
Answer: (2r)⁸ or (2r)∧8
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Double r = this means that we have to multiply the variable "r" by 2 .(2r)
Then raise the result to the 8th power = this means that the product (2r) is the base and 8 is the exponent.
Mathematically speaking
(2r)⁸ or (2r)∧8
Feel free to ask for more if needed or if you did not understand something.
Answer:
y = 15/x
Step-by-step explanation:
An inverse proportion has the equation ...
y = k(1/x) . . . . k is the constant of proportionality
__
Solving for k, we find ...
k = xy
The coordinates of the given point can be used to find k:
k = (3)(5) = 15
Then the equation of the graph is ...
y = 15/x
