Answer:
c)3u-3v-w
Step-by-step explanation:
We assume all employees are either full-time or part-time.
36 = 24 + 12
If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)
_____
You can write the inequality in two stages.
- First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
- Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.
Let f and p represent the numbers of full-time and part-time employees, respectively.
... f + p = 36 . . . . . . given
... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.
... f ≤ 24 . . . . . . . . . given
... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.
... 36 - 24 ≤ p . . . . add p-24
... p ≥ 12 . . . . . . . . the solution to the inequality
Answer:
b. log6561(9) = 1/4
Step-by-step explanation:
The relationship between the exponential form and the log form is ...

The exponent is the logarithm. The base is the value the exponent is being applied to.
Here, you have ...

Comparing this to the form above, we see ...
b = 6561, n = 1/4, x = 9
so the log form of the equation is ...

This matches choice B.
Answer:
0.3
Step-by-step explanation:
So 2.14 + 0.89 = 3.03
3.03 - 3 = 0.3
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If we let x be the width of the garden, then x+4 will be the length. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs.
12² = (x)² + (x + 4)²
Simplifying,
144 = x² + x² + 8x + 16
Further simplification,
144 = 2x² + 8x + 16
x² + 4x - 128 = 0
The value of x from the equation is 6.2 ft. The length is then equal to 10.2 ft.
The answer to this item is the second choice.