Answer:
The blank box is 1/6
Step-by-step explanation:
5/ 16 x 8/15 = 40/240
40/240 simplified = 1/6
Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
Answer:
2,000
Step-by-step explanation:
write out an equation that represents the problem. the original price X fell by 15% to a new price of 1700:
X - (X*15%) = 1700
X(1-0.15) =1700
X=1700/(1-0.15)
X=2,000
convert 15% to decimal form:
15%=0.15
Answer:
Therefore, equation of the line that passes through (2,2) and is parellel to the line is
Step-by-step explanation:
Given:
a line
To Find:
Equation of line passing through ( 2, 2) and is parellel to the line y=7x
Solution:
...........Given
Comparing with,
Where m =slope
We get
We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.
Now the equation of line in slope point form given by
Substituting the points and so we will get the required equation of the line,
Therefore, equation of the line that passes through (2,2) and is parellel to the line is
<u>Answer:</u>
A. (x+5)
<u>Step-by-step explanation:</u>
We are given a quadratic expression which we will factorize to see which of the given options is a binomial factor of it.
Finding the factors of 15 such that when added, they give a result of 8.
Therefore, we can see that is that binomial factor that is present in the given options so option A. (x+5) is the correct answer.