Answer:
<em>Answer to part A:</em>
1 notebook = $2.5
1 pen = $1.5
<em>Answer to part B:</em>
= 3 pens.
Step-by-step explanation:
- <em>Here's the simultaneous equation.</em>
4n + 3p = $14.50
5n + 6p = $21.50
- <em>Multiply the numerator by the denominators first number and vice-versa.</em>
5(4n + 3p) = $14.50
4(5n + 6p) =$ 21.50
- <em>Here's what you should get.</em>
20n + 15p = $72.50
20n + 24p = $86
- <em>Eliminate the like numbers by subtracting the denominator from the numerator.</em>
20n - 20n = 0
15p - 24p = -9p
$72.50 - $86 = -$13.5
- <em>Divide the result after the equal sign by the result before the equal sign.</em>
-$13.5 ÷ -9 = $1.5p
- <em>Since we've found the cost of one pen as $1.5, lets substitute any of the first equations to get the cost of one notebook.</em>
4n + 3p = $14.50
4n + 3($1.5) = $14.50
4n + $4.5 = $14.50
4n = $14.50 - $4.5
4n = $10.00
n = $2.5
- <em>Here's the answer to part A:</em>
1 notebook = $2.5
1 pen = $1.5
- <em>Part B::::::::::::::::::</em>
1 ($1.5) = 3($2.5)
$1.5 + $7.5 = $9.0
$27 ÷ 9 = $3
- <em>Therefore, she'll buy each supply thrice:</em>
3 ( $1.5 + $7.5 ) = 3 ( $9.0 )
( $4.5 + $22.5 ) = ( $27 )
$4.5 + $22.5 = $27
- <em>Answer to part B:</em>
= 3 pens.
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Answer:
C none of the above
Step-by-step explanation:
x + z + y
is not going to be equal to x + y - z
Its like saying 10 + 5 - 4 = 11
To 10 + 5 + 4, they are not going to be equal
The number of roots of a quadratic function can be determined from its discriminant.
If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.
The discriminant can be calculated as:
Disc = b² - 4ac
For the given equation:
Disc = 9 - 4(2)(1) =1
Since the value of discriminant is positive, the function will have two distinct roots.
So, the answer to this question is option B
