3x2+4(-1)-2(5)2 +4(5)+5=
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6+-4-10+25
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31-14=17
<span>interest = $580 x 0.065 = $37.70
answer
interest for the year is </span>$37.70
#7:
<span>Subtract </span>y<span> from both sides:
</span>-4x=6-y
Divide both sides by -4:
Answer:
x= -6-y/4
#7 part 2:
Add <span>y</span><span> to both sides:
</span>-5x=21+y
Divide both sides by -5:
Answer: x=-21+y/5
hope i helped!
Answer:
Step-by-step explanation:
Let x be the number of 2 coins and y be the number of 5 coins. Let z be the number of 10 coins she exchanged. Then, we have the first equation

Since she has one 5 coin less than 2 coins, then y=x-1. So we get the equation
which is equivalent to
If we add 5 on both sides and factor out on the right by 5 we get

We can solve for x and get
Since x represents the number of 2 coins, we must have that x is an integer. That is, we cannot have, for example 1.5 2 coins. Since 7 doesn't divide 5, we must have that 7 divides 2z+1. That is, the value of z is such that the number 2z+1 is multiple of 7. That is 2z+1 = 7p where p is an integer.
If that is the case, then
x = 5p, then y = 5p-1. By having 2z+1 = 7p, we are forcing that p is an odd integer, so we have infinite solutions. For each value of p that is an odd integer, then x=5p and y=5p-1 is a solution to the problem
The new box will both hold more cereal and require more material to make.