Standard form is y=Mx+b so first step is to isolate y:
Y=1/3(x+3)-11
Then use order of operations to simplify the x to a whole number. First multiply by three:
3y=x+3-33
Now combine like terms:
3y=x-30
Finally,
Divide to make y have a coefficient if one:
Y= 1/3x -10
<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.
Answer:
5/6
Step-by-step explanation:
5/1 cakes shared by 6/1 people. To divide, we can freeze flip and multiply the fractions to get to 5/1 * 1/6 = 5/6 cakes per person. Let me know if this helps.
No since the between consecutive numbers doesn't give a constant
Answer:
7.3
Step-by-step explanation:
For this question, you must use the distance formula. The distance formula is based around Pythagorean Theorem, so you will see some similarities.
Distance = 
X2 is 7 (X coordinate of school)
X1 is 5 (X coordinate of friend's house)
7 - 5 = 2
2^2 = 4
Y2 is 7 (Y coordinate of school)
Y1 is 0 (Y coordinate of friend's house)
7 - 0 = 7
7^2 = 49
4 + 49 = 53
= 7.2801...
<em>Round to the nearest tenth...</em>
<em>7.3</em>