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Answer:
p = 7
Step-by-step explanation:
Step 1: Subtract 2p from both sides.
5p − 9 − 2p = 2p + 12 − 2p
3p − 9 = 12
Step 2: Add 9 to both sides.
3p − 9 + 9 = 12 + 9
3p=21
Step 3: Divide both sides by 3.
= 
p = 7
Answer:
shirts are $32 each and hats are $18 each
Step-by-step explanation:
x = shirts
y = hats
2x + 5y = 154
3x + 4y = 168
use either substitution or elimination
x = $32
y = $18
There is no solution.
If you divide both sides by -3 to get the variable isolated, it is
|s| = -6
Absolute value equations cannot equal negative numbers, so there is no solution.
Answer:
Option B.
Step-by-step explanation:
If the value of function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersect x-axis at its zeroes.
From the given table it is clear that the value of function are
x | f(x) | Sign
2.0 | 2.8 | Positive
2.5 | 1.1 | Positive
3.0 | –0.8 | Negative
3.5 | –1.2 | Negative
4.0 | –0.3 | Negative
4.5 | 0.7 | Positive
The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5.
It means, the graph of function must intersect x-axis in interval 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.
Therefore, the correct option is B.
