The linear equation has an equal signed involved and the expression doesn’t.
B. <span>–4.37 < –1.63 is the true statement. -4.37 is less than -1.63
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A. <span>–4.28 > –3.56 * should be less than
</span>C. <span>5.7 < 5.63 * should be greater than
</span>D. -13.90 > 4.63 *should be less than
In dealing with negative numbers, the greater the negative number is, the lesser its value. 4.37 is a greater number than 1.63 in its positive form, however, its negative form give 4.37 a lesser value than 1.63 in its negative form.
Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change = 
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change = 
= 
= 30
9514 1404 393
Answer:
C) 14 cm
Step-by-step explanation:
A triangle solver can quickly show you the third side is 14 cm.
__
The law of cosines can be used for this purpose. If the given sides are 'a' and 'b', and the third side is 'c', then that law tells you ...
c² = a² +b² -2ab·cos(C)
c² = 7² +11² -2·7·11·cos(100°) ≈ 196.74
c ≈ √196.74 ≈ 14.03
The length of the third side is about 14 cm.
Answer: 9/4
Step-by-step explanation: Think of
as
.
Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and
we can change 9⁻¹ to 9¹ by moving it to the numerator.
So we have 9¹/4¹ which simplifies to 9/4.