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Answer:
34/112 or 17/56
Step-by-step explanation:
( total 12 graders + total swim team ) - (12 grade and swim team)
26/112 + 16/112 - 8/112
42/112 - 8/112
34/112
Answer:

Step-by-step explanation:
The formula that is used to calculate the area of a rectangle is:

Where "l" is the lenght and "w" is the width.
You know that the area of that rectangle is:

And, according to the exercise, its lenght is 7 more than its width; then:

Then, you can make the corresponding substitution into the formula
:

Simplify:

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.
Then, you get:

The width of the rectangle is the positive value:

Then, the lenght is:

Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
Answer:
5 terms: m, 4, 2, -7m, 6 are the terms in question.
Step-by-step explanation:
Note that terms here are separated from one another by either + or - signs.
m + 4 consists of two terms, since m and 4 are separated by the + operator.
2 - 7m are separated by the - operator, and so there are two terms here.
Completing the counting procedure, we get:
m (first term) + 4 (second term) + 2 (third term -7m (fourth term) + 6 (fifth term).
So, if we do NOT combine like terms, we have five (5) terms altogether.
If we DO combine like terms, we end up with two (2) terms:
m -7m + 4 + 2 + 6, or -6m + 12, or two (2) terms.