Answer:
Step-by-step explanation:
Using the rule of exponents
⇔ 
thus
= 
= 
= 
= 
Then
× =
Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using rise/run (y2 - y1) / (x2 - x1)
Plug in the points:
(36 - 21) / (15 - 10)
15/5
= 3
Next, plug the slope and a point into the equation y = mx + b to find b (y-int)
y = mx + b
21 = 3(10) + b
21 = 30 + b
-9 = b
Then, plug this into the equation, as well as the slope:
y = 3x - 9
Given number = 0.44
Find how many times the value of the hundredths place digit to the value
of the tenths place digit.
=> Since this is a decimal number, I believe, the value you mean is
tenths and hundredths, not tens and hundreds.
Now, how many times is the value of each digit differs from each other:
The answer is 10 times
=> 4 hundredths x 10 = 4 tenths
=> 0.04 x 10 = 0.4, which is correct
Simplify each term.
1/2X - 1/3Y
Combine 1/2x and −1/3y using a common denominator.
To write −1/3y as a fraction with a common denominator, multiply by 2x/2x.
(1 / 2x )(3y / 3y) + (−1 / 3y) (2x / 2x)
Write each expression with a common denominator of 6xy, by
multiplying each by an appropriate factor of 1.
1 (3y)/6xy − 1 (2x)/6xy
Combine the numerators over the common denominator.
1(3y) − (1(2x))/6xy
Simplify the numerator.
3y−(1(2x))/6xy
<span>Simplify.
</span>3y−(2x)/6xy
<span><span>3y−2x/</span><span>6xy</span></span>
Simplify with factoring<span> out.
</span>
Reorder <span>3y</span><span> and </span><span><span>−2x</span>.</span>
<span><span>−2x+3y/</span><span>6xy</span></span><span>
</span>
Factor <span>−1</span><span> out of </span><span><span>−2x</span>.</span>
<span><span>−1(2x)+3y/</span><span>6xy</span></span>
Factor <span>−1</span><span> out of </span><span><span>3y</span>.</span>
<span><span>−1(2x)−1(−3y)/</span><span>6xy</span></span><span>
</span>
Factor <span>−1</span><span> out of </span><span><span>−1(2x)−1(−3y)</span>.</span>
<span>−1(2x−3y)/</span><span>6xy
</span>Move the negative in front of the fraction<span>.
</span>
<span>−<span><span>2x−3y/</span><span>6xy</span></span></span><span>
</span>
They would use 15 bottles a day.
Hope this helps!
