Answer:
C
Step-by-step explanation:
both the slope and y intercept are negative so therefore it has to be -4x because that is what it said the y intercept is negative e so -2 so the answer is C)y=-4x-2
Answer:
9 divided by 13
Step-by-step explanation:
im not sure if this is right.
Answer:
(a) ln(x) = 0
Then 0 < x < 1
(b) e^x > 2
Then ln2 < x < ∞
(a) ln(3x - 17) = 5
x = 55.1377197
ln(a + b) + ln(a - b) - 5ln(c)
= ln[(a² - b²)/c^5]
Step-by-step explanation:
First Part.
(a) ln(x) < 0
=> x < e^(0)
x < 1 ....................................(1)
But the logarithm of 0 is 1, and the logarithm of negative numbers are undefined, we can exclude the values of x ≤ 0.
In fact the values of x that satisfy this inequalities are between 0 and 1.
Therefore, we write:
0 < x < 1
(b) e^x > 2
This means x > ln2
and must be finite.
We write as:
ln2 < x < ∞
Second Part.
(a) ln(3x - 17) = 5
3x - 17 = e^5
3x = 17 + e^5
x = (1/3)(17 + e^5)
= 55.1377197
Third Part.
We need to write
ln(a + b) + ln(a - b) - 5ln(c)
as a single logarithm.
ln(a + b) + ln(a - b) - 5ln(c)
= ln(a + b) + ln(a - b) - ln(c^5)
= ln[(a + b)(a - b)/(c^5)]
= ln[(a² - b²)/c^5]
Answer:
18 boys
Step-by-step explanation:
set a proportion
8 24
-- = ---
6 x
24(6)=8(x)
144=8x
divide 8 by both sides
18 boys
Answer:
565.2 in²
Step-by-step explanation:
2pi × r × (r + h)
2 × 3.14 × 5 × (5 + 13)
31.4 × 18
565.2
