Answer:
The domain (input values) of the sine function is:
<u>O B. all real numbers</u>
Using simple interest, it is found that she would have to pay the loan back on May 17.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
In this problem, the parameters are:
Solving for t, we have that:
Considering a year has 365 days:
0.125 x 365 = 46
46 days after April 1, hence she would have to pay it back on May 17.
More can be learned about simple interest at brainly.com/question/25296782
I believe you will sub. in 3 for t so h=-16(3)^2 + 60(3)+6. then you will just solve!
h=-16(9)+60(3)+6
h= -144 + 180 + 6
h= 42
so the answer to your question is c. 42 Feet
Hope this helps! :)
<span>2 log 3(x-1)=log(4 x 2-25)
1. Determine the domain. Since the input to the log function cannot be zero or negative, 4x^2-25 must be </span>≥ 0. Thus, x^2 must be >0, or x>0. Same domain applies to log (3(x-1); x must be > 0.
2. Rewrite <span>2 log 3(x-1) as log 3(x-1)^2.
3. Then we have </span>log 3(x-1)^2 = log(4 x 2-25). We can discard the operator "log" from both sides: 3(x-1)^2 = 4 x 2-25. There are various ways in which to solve this. Since you're supposed to "use technology,"
graph y = 3(x-1)^2 and y = 4x^2 - 25 on the same set of axes. Determine, using visual estimation or your calculator's tools, the value or values of x that satisfy this equation. My result was x=3, y =11.
Don't be snarky !
<u>4x - x/4 + x + 1/3 = 2x</u>
Add up the 'x' terms on the left side: (4 + 1/4 + 1)x = 5-1/4 x = 21/4 x
Now the equation is: 21/4 x + 1/3 = 2x
2x is the same as 8/4 x . Subtract it from each side:
13/4x + 1/3 = 0
Subtract 1/3 from each side :
13/4 x = - 1/3
Multiply each side by 4 :
13 x = - 4/3
Divide each side by 13 :
<em>x =</em> (- 4/3) / (13) = <em>- 4 / 39</em>
