Y=mx+b
m=slope
b= y intercept
given
slope=5=m
y=5x+b
use the point giveen
(1,2)
x=1 and y=2 is a soltion
subsitute and find b
2=5(1)+b
2=5+b
minus 5
-3=b
y=5x-3 is equation
B is answer
a.
b. For every month the pine tree grows about 0.67 inches.
c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.
<h2>
Explanation:</h2>
<h3>PART A.</h3>
In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:
It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.
The point slope form of the equation of a line is:
Finding (m):
Finally, the equation of the line is:
<h3>
PART B.</h3>
In this case, we have that:
- The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
- The y-axis represents the <em>Height of the Tree </em>in inches.
Since the slope o a line is:
Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>
<h3>PART C.</h3>
The y-intercept can be found setting . So, from our equation:
So the y-intercept is and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>
<h2>Learn more:</h2>
Slope Intercept form: brainly.com/question/4192440
#LearnWithBrainly
Given: <span>9=(1/27)^(a+3)
[Note: Please review rules of PEMDAS.
The question posted as is means
</span><span>9=[(1/27)^a]+3 which is probably not what you mean. It has been interpreted with (a+3) as the exponent, please check.]
</span><span>
Need to find value of a that satisfies above.
We will first isolate a in order to solve for its value.
</span>9=(1/27)^(a+3)
Switch unknown to the left
(1/27)^(a+3) = 9
Since both 27 and 9 are powers of 3, we can take log to base 3.
take log (base 3) on both sides, applying rule of logarithm of exponents.
(a+3)log_3(1/27)=log_3(9)
(a+3)log_3(3^(-3))=log_3(3^2)
Apply definition of logarithm [log_a(a^k)=k]
(a+3)(-3)=2
(a+3)=-2/3
a=-3 2/3=-11/3
Check: (1/27)^(-11/3+3)=(1/27)^(-2/3)=(3^(-3))^(-2/3)=3^(-3(-2/3))=3^2=9 ok
Answer: a=-11/3 or a=-3.667 (approx.)
<span>So, what you need to take into consideration here is the order of operations. First, you have to multiply 3 by 6 and then do the rest of the question in the order it is written. So, here is how to calculate this: 3 - 3x6 +2 = 3 - 18 + 2 = -15 + 2 = -13. The correct answer is -13.Hope this helps. Let me know if you need additional help!</span><span />
Answer: its 34.5
Step-by-step explanation: