Answer:
Step-by-step explanation:
p + c = 110
p = c + 100
c + 100 + c = 110
2c + 100 = 110
2c = 110 - 100
2c = 10
c = 10/2
c = 5 .......cost of the phone case
p = c + 100
p = 5 + 100
p = 105 <=== cost of the phone
Answer:
A counterexample for a conjecture is the statement that disproves a conjecture.
Step-by-step explanation:
To find : What is a counterexample for the conjecture?
Solution :
A conjecture is an educated guess but not yet proven. It is possible that next example shown the conjecture wrong.
A counterexample is an example that disproves or disagree a conjecture.
For example : Prime numbers - 3,7,11,23
Conjecture - All prime numbers are odd
Counterexample - 2
→ 2 is a prime number but not odd, it is an even number.
Answer:
Science class had a higher average
Step-by-step explanation:
Given
g(x) table
Solving (a): f(2)
We have:
So:
Solving (b): g(2)
From the given table.
Solving (c): f(4) or g(4); which is greater
So:
For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1
This means that:
So
<em>Hence, g(4) i.e. Science class is greater</em>
Answer:
D. (3 + 4) + 9 = 3 + (4 +9) represents the Associative Property of Addition.
Step-by-step explanation:
Associative Property of Addition states that for any groups of numbers, the order of addition does not matter.
or, for any numbers A, B and C
A + ( B +C) = (A +B) + C
Here, D. (3 + 4) + 9 = 3 + (4 +9) represents the Associative Property of Addition.
Steps to simplify:
(2x + 3)(x - 7)
~Use FOIL to multiply
(2x * x) + (2 * -7) + (3 * x) + (3 * -7)
~Simplify
=2x² - 14x + 3x - 21
~Combine Like Terms
2x² + (-14x + 3x) - 21
~Simplify
2x² - 11x - 21 (Option 2)
Best of Luck!
