Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
245 because it has rt and then number s one
Answer:
Step-by-step explanation:
2x⁴ + 4x³ - 30x² = 2x²*(x² + 2x - 15)
x² + 2x - 15
Sum = 2
Product = -15
Factors = 5 ; (-3)
x² + 2x - 15 = x² + 5x - 3x - 3 *5
= x(x + 5) - 3(x + 5)
= (x + 5)(x - 3)
2x⁴ + 4x³ - 30x² = (2x²) (x + 5)(x - 3)
Answer:
y = 2x - 2
Step-by-step explanation:
y= mx+b
m= slope
b= y-intercept (point on line where x= 0.... or the point where the line hits the y-axis)
Determine slope by using slope formula or by counting boxes
By counting boxes, you can see that each point is 2 units up, 1 unit right (2/1)
the slope is 2
the point where the line is touching the y-axis is (0, -2)
m = slope = 2
b = y-intercept = -2
y = 2x + (-2) OR y = 2x -2