Answer:
The inverse of the function is;
x = (y + 2)/3
Step-by-step explanation:
Here in this question, we shall be calculating the inverse of a function.
The function is;
y = 3x - 2
Firstly, let w = x;
y = 3w -2
y + 2 = 3w
w = (y + 2)/3
Now replace w by x
x = (y + 2)/3
This is the inverse of the function
Answer:
$2,400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 10000 × 0.06 × 4 = 2400
I = $ 2,400.00
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 6% per year
for 4 years is $ 2,400.00.
Answer: Keisha can run faster than Stephan.
Step-by-step explanation:
Let's figure out how long it takes for them to run a mile.
It would take Stephan 5.25 minutes to run a mile
It would take Keisha 4.52 minutes to run a mile
Since Keisha takes less time to run a mile she is faster.
Answer:
is the correct answer.
Step-by-step explanation:
Given:
To find:
if given term is written as following:
<u>Solution:</u>
We can see that the resulting expression does not contain anything under (square root) so we need to rationalize the denominator to remove the square root from denominator.
The rule to rationalize is:
Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.
Applying this rule to rationalize the given expression:
Comparing the above expression with:
A = 5, B = 6 (Not divisible by square of any prime)
C = -10
D = 2 (positive)
GCD of A, C and D is 1.
So,
Answer:
Step by step below
Step-by-step explanation:
center of dilation: W
Similarity statement:
wx/wx' = wz/wz' = xy/x'y' = yz/y'z' = 5/3
∠w = ∠w=90°, ∠x = ∠x'=90°, ∠y = ∠y'=90°, ∠z = ∠z'=90°
square wx'y'z' ~ wxyz