Answer:
The value of 
is approximately -1.531.
Step-by-step explanation:
Let 
, we proceed to solve this expression by algebraic means:
1) Given
2) 
3) ![(3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0](https://tex.z-dn.net/?f=%283.3%5E%7Bx%7D%29%5E%7B2%7D%5Ccdot%203.3%20-%5Cleft%5B%5Cleft%28%20%5Csqrt%7B103%7D%20%5Cright%29%5E%7B2%7D%5Cright%5D%5E%7Bx%7D%5Ccdot%20103%20%3D%200)
4) ![(3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0](https://tex.z-dn.net/?f=%283.3%5E%7Bx%7D%29%5E%7B2%7D%5Ccdot%203.3%20-%20%5Cleft%5B%5Cleft%28%5Csqrt%7B103%7D%5Cright%29%5E%7Bx%7D%5Cright%5D%5E%7B2%7D%5Ccdot%20103%20%3D%200)
/Commutative property
5) ![\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft%28%5Cfrac%7B3.3%7D%7B%5Csqrt%7B103%7D%7D%5Cright%29%5E%7Bx%7D%5Cright%5D%20%5E%7B2%7D-%5Cfrac%7B103%7D%7B3.3%7D%20%3D%200)
Existence of multiplicative inverse/Definition of division/Modulative property/
6) 
Existence of additive inverse/Modulative property/
7) 
Definition of logarithm.
8) 
9) ![2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3](https://tex.z-dn.net/?f=2%5Ccdot%20x%20%5Ccdot%20%5B%5Clog%203.3-%5Clog%20%5Csqrt%7B103%7D%5D%20%3D%20%5Clog%20103%20-%20%5Clog%203.3)
10) 
/Associative property
11) 
Existence of multiplicative inverse/Definition of division/Modulative property
12) 
Result
The value of is approximately -1.531.
Answer: y = -2/5x + 3
Step-by-step explanation:
The formula for a line is: y = mx + b.
<em>m</em> is the slope of the line. We calculate this by looking at how many units the line travels vertically over how many units the line travels horizontally, or rise over run. In this example, we can see that the line goes down 2 units for every 5 it goes to the right, meaning the slope is equal to -2/5.
<em>b</em> is the y-intercept, or where the line crosses the y-axis. In this example, the line crosses the y-axis at (0, 3) making the <em>b</em> value equal to 3.
Therefore, the equation for this line put together is y = -2/5x + 3.
X = 15
Y= 1/2
2x = 30
2 = 4y
Hope this helps.
62 degrees is the answer 90-28 =62
Answer:
slope: -3
y-intercept: -5
equation: y = -3x - 5
Step-by-step explanation:
The formula for slope is:
(y2 - y1)/(x2 - x1)
Let's use these coordinates:
(-1, -2)
(0, -5)
x1 = -1
x2 = 0
y1 = -2
y2 = -5
Substitute into the formula:
(y2 - y1)/(x2 - x1)
(-5 + 2)/(0 + 1)
Solve:
(-5 + 2)/(0 + 1)
-3/1
= -3
slope = -3
The y-intercept is when the x coordinate is 0.
Looking at the table, we see the coordinate (0, -5).
The y-coordinate is -5.
This means that the y-intercept is -5
y-intercept = -5
Slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept
m = -3
b = -5
Substitute:
y = mx + b
y = -3x - 5
