We can add 1/6 & 1/3 together to find out the total amount of crackers that were eaten:
1/6 + 1/3 (Find the Common Denominator. In this case it is 6.)
= 1/6 + 2/6
= 3/6 (Now find the Lowest Terms. Both 6 & 3 divide into 3)
= 1/2 (In Lowest Terms)
This means that 1/2 of the Crackers have been eaten.
1/2 of 18 = 9
Therefore, Bob has 9 Crackers left.
(x^2+4)^2 + 32 = 12x^2 + 48 .... a = x^2 + 4
<span>(x^2 + 4)^2 + 32 = 12(x^2 + 4) </span>
<span>a^2 + 32 = 12a </span>
<span>a^2 - 12a + 32 = 0 </span>
<span>(a - 8)(a - 4) = 0 </span>
<span>a = 8 and a = 4 </span>
<span>for a = 8 ... 8 = x^2 + 4 ... x^2 = 4 ... x = +/- 2 </span>
<span>for a = 4 ... 4 = x^2 + 4 ... x^2 = 0 ... x = 0 </span>
<span>x = -2, 0, +2 so your answer is going to be e
</span>
Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,

According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,

Putting the value of x from above equation in equation (1),

Now put the value of y in equation (1), so,

So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is equal to 0)
<u>1) Determine the slope (m)</u>
where two points that the line passes through are
and 
We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.
Plug these points into the equation

Therefore, the slope of the line is 3. Plug this into 

<u>2) Determine the y-intercept (b)</u>
The y-intercept is given; it is 4. Plug this back into 

I hope this helps!