Answer:
Step-by-step explanation:
Hello : let A(2,3) B(4,6)
the slope is : (YB - YA)/(XB -XA)
(6-3)/(4-2) = 3/2
an equation is : y=ax+b a is a slope
y = (3/2)x +b
the line through point (2,3) : 3 = (3/2)(2)+b
b = 0
the equation is : y =(3/2)x
Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,
(xy)^a = (x^a)(y^a)
The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is,
(x^a)(x^b) = x^ab
Check:
f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)
f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)
f(x) = 81^0.25x = 3^x
f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x
f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)
Therefore, the answer is third equation.
<em>ANSWER: f(x) = 81^0.25x = 3^x</em>
Answer:
D)
Step-by-step explanation:
Because
a) 10 = 2(5) = 10
b) 10 = 5 + 5 = 10
c) 10 = 15 -5 = 10
d) 10 = 5 - 5 = 0 the result is not equivalent
Answer:
Twelve pence made a shilling
I hope this is the ans