2 less than a number n is (n - 2 ) and 3 times this is 3(n - 2 ), thus
3(n - 2) ≥ 5n ( greater than or equal to 5 times n )
3n - 6 ≤ 5n ( subtract 3n from both sides )
- 6 ≥ 2n ( divide both sides by 2 )
- 3 ≥ n or n ≤ - 3
Since n is less than or equal to - 3 use bracket ]
n ∈ ( - ∞, - 3 ] ← solution set
Consider the factors of 40: ±1, ±4, ±10, ±5, ±8 ... ±5 and <span>±8 can be manipulated to fit your factorization.
(x - 8)(x - 5) works. -8 - 5 = -13, which is what you need in the middle, and -8*-5 gives you a positive 40.</span>
Answer:
g(x)= -11
Step-by-step explanation:
domain is the x value to use.
5(-2) -1
-10 -1 = -11
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Q1. Flip counts numbers that are in the sequence ...
777 - 8n . . . . . for some positive integer n
This expression can be factored as ...
8(97 -n) +1
which is to say that the numbers in Flip's sequence are 1 more than a multiple of 8. The number among the answer choices that matches that description is ...
129 = 16·8 +1 . . . . . corresponding to 97-n = 16, or n = 81
Flip counted the number 129.
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Q2. Let a and p represent the costs of an apple and a pear, respectively. Then we have ...
Substituting the expression for "a" in the second equation into the first equation, we get
5(p +0.15) = 6p
5p + 0.75 = 6p
0.75 = p
Then 12p = 12·$0.75 = $9.00 is the cost of 6 pears and 5 apples (since 5 apples cost the same as 6 pears).
The cost of interest is $9.00.
Answer: Part A:
We observe that we have the following system of equations:
y = 4x
y = 2x-2
The solution to the system of equations is an ordered pair (x, y), that is, a point in common that both functions have.
Part B:
x y = 4x y = 2x-2
-3 -12 -8
-2 -8 -6
-1 -4 -4
0 0 -2
1 4 0
2 8 2
3 12 4
The solution is the ordered pair:
(x, y) = (-1, -4)
Part C:
See attached image
Step-by-step explanation: