Answer:
x=2
Step-by-step explanation:
3 ln(x) + 2 ln (4)= ln(128)
a ln (b) = ln b^a
In(x^3) + In (4^2)= In(128)
In(x^3) + In (16)= In(128)
ln a + ln b = ln (ab)
In(16x^3) = In(128)
raise each side to the power of e
e^ In(16x^3) = e ^In(128)
e^ ln cancels out
(16x^3) = (128)
divide by 16
(16x^3)/16 = (128)/16
x^3 = 8
take the cube root on each side
(x^3)^1/3 = 8^ 1/3
x =2
Answer:
See below ~
Step-by-step explanation:
Applying the rule (x - 5, y - 3) to the coordinates :
The coordinates are :
- (2 - 5, -3 - 3) = (-3, -6)
- (2 - 5, 2 - 3) = (-3, -1)
- (5 - 5, -3 - 3) = (0, -6)
- (5 - 5, 2 - 3) = (0, -1)
As evidenced by the rule :
The rectangle is translated <u>5</u> units to the left and <u>3</u> units down.
13x-8≤-32
add 8 to both sides to get 13x≤-24
divide by 13 to get x ≤ -24/13
Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,
<h3>What is quadratic equation?</h3>
Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.
<h3>What is discriminant?</h3>
A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.
<h3>According to the given information:</h3>
0.5x^2 + 4x + 8 = 0
The discriminant is computed utilizing:
d = b^2 - 4ac
Thus, we have:
d = 4^2 - 4 * 0.5 * 8
Evaluate
d = 0
The equation has only one real root since the discriminant is 0,
To know more about discriminant visit:
brainly.com/question/16369636
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