Answer:
7 books
Step-by-step explanation:
make an equation
x = # of books each book is $4 so its 4x
the shipping fee no matter how many books he buys will be $2 so it's just 2
the equation looks like this:
4x + 2 = 30
we set equal to 30 cuz he can't spend more than $30
solve for x
4x = 30 -2
4x = 28
x = 7
Brett can buy no more than 7 books.
Answer:
See answer below
Step-by-step explanation:
For the first expression
3 x (x - 2) + 2 = 3 x^2 - 6 x + 2
evaluated at x= 4 we get: 26
and for x = 5 we get 47.
For the second expression
2 x^2 + 3 x - 18
we get the exact same values when doing the evaluation at these two points.
Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.
Answer:
LCM = 4590
Step-by-step explanation:
1. Find the prime factorization of 306
306 = 2 × 3 × 3 × 17
2. Find the prime factorization of 270
270 = 2 × 3 × 3 × 3 × 5
3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 3 × 3 × 3 × 5 × 17
First, we are going to want to plug in the values we are given. In this case, we will end up with the equation:
From here, we can solve the equation to find 
:
- Apply the commutative property to rearrange the terms on the right-side of the equation to make the distributive property more apparent
- Apply the distributive property
- Subtract 8 from both sides of the equation
- Divide both sides of the equation by -2
We have found that c = 1.
