A. -2
B. 2
C. -1/2
D. 1/2
A. 30
B. 12.5
C. 5
D. 7
let small notebook = s, large notebook = b
Set the system of equations:
54 = 8s + 10b
s + b = 6
First, solve for b. Isolate the s.
s = 6 - b
Plug in 6 - b for s
54 = 8(6 - b) + 10b
Distribute 8 to all terms within the parenthesis
54 = 48 - 8b + 10b
Simplify
54 = 48 + 2b
Isolate the b. Note the equal sign. What you do to one side, you do to the other. Subtract 48 from both sides
54 (-48) = 48 (-48) + 2b
6 = 2b
Divide
6/2 = 2b/2
b = 6/2
b = 3
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Plug in b for 3 in one of the equations.
s + b = 6
s + 3 = 6
Isolate the s. Subtract 3 from both sides
s + 3 (-3) = 6 (-3)
s = 6 - 3
s = 3
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small notebook = 3, large notebook = 3
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hope this helps
Hi AlexBombela10,
Your Question:
A store sells small notebooks for $8 and large notebooks for $10. If a student buys 6 notebooks and spends $54, how many of each size did he buy?
Solution:
54 - 8 = 46
46 - 8 = 38
38 - 8 = 30
30 - 10 = 20
20 - 10 = 10
10 - 10 = 0
Final Answer:
He bought 3 small notebooks
He bough 3 large notebooks
Hope This Helps!
Answer:
f(x) = -x is odd
Step-by-step explanation:
A function f is odd if f(-x) = -f(x) for all x in the domain of f. Then, let's check each of the functions.
1. f(x) = x^3 + 5x^2 + x
f(-x) = (-x)^3 + 5(-x)^2 + (-x) = -x^3 + 5x^2 - x
-f(x) = -(x^3 + 5x^2 + x) = -x^3 - 5x^2 - x
Given that f(-x) ≠ -f(x). The function f is not odd.
2. f(x) = sqrt(x)
f(-x) = sqrt(-x) (Imaginary number)
-f(x) = -sqrt(x)
Given that f(-x) ≠ -f(x). The function f is not odd.
3. f(x) = x^2 + x
f(-x) = (-x)^2 -x = x^2 - x
-f(x) = -x^2 - x
Given that f(-x) ≠ -f(x). The function f is not odd.
4. f(x) = -x
f(-x) = - (-x) = x
-f(x) = -(-x) = x
Given that f(-x) = -f(x). The function f is odd.
Answer with Step-by-step explanation:
A function f is odd if:
f(-x)= -f(x) for all x in the domain of f
1. f(x)=
f(-x)=
=
-f(x)=
f(-x) ≠ -f(x)
So, function is not odd
2. f(x)=√x
f(-x)=√(-x)
= i√x
-f(x)= -√x
f(-x) ≠ -f(x)
So, function is not odd
3. f(x)=
f(-x)=
=
-f(x)=
f(-x) ≠ -f(x)
So, function is not odd
4. f(x)= -x
f(-x) = -(-x)
=x
-f(x)=x
f(-x) = -f(x)
So, function is odd