Answer: Josh is incorrect because nickels are worth 5 cents each and 33 can not be divided by 5 exactly.
Answer:
(4, 9) is not a solution to 3(x + 2) = y.
Step-by-step explanation:
3(x + 2) = y
Substitute (4, 9) into the equation.
3(4 + 2) = 9
Add the inside of the parenthesis.
3(6) = 9
Multiply.
18 ≠ 9
Answer:
No real root.
Complex roots:
Step-by-step explanation:
There are no two integers whose product is 5 and whose sum is 2, so this trinomial is not factorable. We can use the quadratic formula.
Since we have a square root of a negative number, there are no real roots. If you have learned complex numbers, then we can continue.
Answer:
32 and 35
Step-by-step explanation:
I am going to use x for the smaller number and y for the larger one.
The sum of both these numbers is 67, so the equation should be:x+y=67
Since the smaller number is three less than the larger number, that means 3 has to be added to the smaller number to make it equal in size to the larger number.
x+3=y
To solve the equation, simply plug in
x+3 for the y variable in the first equation.x+x+3=67→ Rewrite the first equation2x=64→
Subtract 3 from each side, combine like termsx=32→
Divide each side by 2The smaller number is 32, so we plug that in to the second equation to find the larger number.
32+3=yy=35
The two numbers are 32 and 35
