Equation of a line: y=mx+b
m=slope(-1)
b=y-intercept(-7)
y=-1x-7 or y=-x-7
Step-by-step explanation:
(5^3x*25-4)/25=625
125^3x-4=625*25
5^x-4=15625
5^x=15625-4
5^x=15621 I can't solved by me if there is only 15625 then the answer will be 6 because 5^6=15625 but there is -4 too
To solve this problem, we can begin by analyzing the graph and then eliminating incorrect answers. By looking at the graph, we can see that it has a positive correlation (the graph is increasing from left to right), which tells us that it has a positive slope. Using this knowledge, we can eliminate answer choices C and D, which both suggest equations with a negative slope (which would mean that the line was decreasing from left to right).
Next, we must analyze the slope. Answer A suggests that the slope is 3/2, meaning that the line rises 3 units for every 2 units it goes across. Answer B suggests that the slope is 1/2, meaning that the line rises 1 unit for every 2 units that it goes across. If we look at the graph, let's say at the point (0,3), the next closest point is 3 units up and 2 units across, which lets us know that the slope is positive 3/2.
Therefore, your answer is A. y = 3/2x + 3 (which is confirmed by the point we recognized, (0,3), which is the y-intercept of the equation).
Hope this helps!
Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
so
The linear equation that represent this problem is
solve for x
so
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees
-3x^2 +10x
All you have to do is combine like terms!
