Slope-intercept form is y = mx + b. all you have to do for this question is plug your given information in:
m = -3
b = 7
y = mx + b
y = -3x + 7
Answer:
No extraneous solution
Step-by-step explanation:
We have the logarithmic equation given by,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e.
So, the solution of the given equation is x=4.
Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is .
Therefore, the domain of the given function is x > 0.
We know that the extraneous solution is the solution which does not belong to the domain.
But as x=4 belongs to the domain x > 0.
Thus, x = 4 is not an extraneous solution.
Hence, this equation does not have any extraneous solution.
Answer:
15.87 meters.
Step-by-step explanation:
We have been given a diagram of a circle and we are asked to find the length of segment YX.
We can see that line YX is tangent of our given circle and line VZ is secant of our circle.
To find the length of YX we will Tangent-Secant theorem, which states that the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.
Using Tangent-Secant theorem we can set an equation to solve for YX as:
Let us take square root of both sides of our equation.
Therefore, the length of YX is 15.87 meters.
Answer:
The concentration of HCl in the mixture is 1L of 50% HCl
Step-by-step explanation:
Here, we want to know the percentage of HCl present which refers to the its concentration.
Firstly, the total volume we have is 0.375 + 0.625 = 1 L
we can calculate the percentage as follows;
The percentage of the 25% present is 37.5%
while the percentage of the 75% present is 62.5%
When we say the percentage present, we are referring to the amounts of the total liters which is 1 present.
So the concentration of the final mixture will be;
(37.5% of 25) + (62.5% of 65)
= 9.375% + 40.625%
Adding both gives = 50%
So the concentration we have is 1L of 50% HCl
The unit rate is how many miles per hour so if you divide, then you will get the number of miles traveled per hour.
Divide 426 by 7.
60.85714...is the answer
The unit rate is D.