Answer:
<u>See the attached figure</u>
Given:
-3x + 2y = 8
5x + 2y = -8
To graph the given equation, make a table between x and y for each equation
Assume x then find the value of y
as an example:
for the equation -3x + 2y = 8
Let x = 0 so, y = 8/2 = 4 and so on
Then graph the pair (x,y), connect the points to graph the line
The attached figure represents the graph of the both line and the table for each line required to graph it.
Also, the intersection between the lines.
Answer:
164
Step-by-step explanation:
82 multiplied by 2
<span>The hour hand will go around the clock twice during a day, every 12 hours. During a single rotation, the minute hand will go around 12 times. The minute hand will pass the hour hand 11 times in the first 12 hours, and 11 times in the second 12 hours. This means that they will meet 22 times.</span>
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: 1/24
Step-by-step explanation: if you take 8 and change it to 1/8, you can multiply it by 1/3 and 1x1 is 1 and 8x3 is 24 so it’s 1 over 24 or 1/24
