Answer:
The simplified form of the given expression is (2x-1).
Step-by-step explanation:
Consider the given expression is

According to the Inverse Properties of In

In the given expression the power of e is (2x-1).
Using the Inverse Properties of In, we get

Therefore, the simplified form of the given expression is (2x-1).
First, you have to find the median, which is the number in the middle: 25
Then cut the data in half by the median, so your new data sets are
15,29,20
and
31,38,41
Now you find the median of both of those sets, which is 29 and 38.
The interquartile range is the difference between the numbers, so 38-29 = 9.
To know for sure I’d need to see the bar graph. But with in the information present the answer would be 12.25% or 1/8
Value of x is 11
Step-by-step explanation:
- Step 1: Find x when ΔABC ≅ ΔDEC.
When these two triangles are congruent, their corresponding angles and sides will be equal.
⇒ ∠B = ∠E
⇒ 44° = 4x
∴ x = 44/4 = 11
9514 1404 393
Answer:
(c) P(x) = x^4 +3x^3 -10x^2 -30x
Step-by-step explanation:
If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.
Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...
P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))
P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)
P(x) = x^4 +3x^3 -10x^2 -10x