Answer:
B. 3 divided by eight
Step-by-step explanation:
3/8 means 3 divided by 8
A fraction bar is division
Answer:
Hey there!
8(x-2)+3=-61
8(x-2)=-64
x-2=-8
x=-6
Let me know if this helps :)
The first term of the arithmetic progression exists at 10 and the common difference is 2.
<h3>
How to estimate the common difference of an arithmetic progression?</h3>
let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.
We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula
The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.
9th term = 50
a + 8d = 50 ...............(1)
12th term = 65
a + 11d = 65 ...............(2)
subtract them, (2) - (1), we get
3d = 15
d = 5
If a + 8d = 50 then substitute the value of d = 5, we get
a + 8
5 = 50
a + 40 = 50
a = 50 - 40
a = 10.
Therefore, the first term is 10 and the common difference is 2.
To learn more about common differences refer to:
brainly.com/question/1486233
#SPJ4
The Lagrangian,

has critical points where its partial derivatives vanish:





tells us
, so that


Then with
, we get

and
tells us

Then there are two critical points,
. The critical point with the negative
-coordinates gives the maximum value,
.
*Yes, B, C, and D are correct. -15, -10.5, and -7.5 are solutions to x<-7*...........................
......................................................................................................................................
*8y – 24 > –16.............................................................................................................
8y>8 ADD 24 to both sides .......................................................................................
y>1 so C. divide both sides by 8.................................................................................
It is not A because the opposite of subtracting 24 is adding 24. So you add 24 to both sides to undo the subtraction. -16+24=8 Then you divide both sides by 8, which gives you y>1. I think you probably subtracted 24 from -16 instead of adding it.*.........................................
......................................................................................................................................
*I'm not sure what to make of the third one, is that a number line or...?*...............................
......................................................................................................................................
*- t/5 ≥15 ........................................................................................................................
-t ≥ 75 MULTIPLY both sides by 5....................................................................................
t ≤ -75 divide both sides by -1, and flip the sign, because when dividing an inequality by a negative number you must flip the sign..............................................................................
So A would be correct. ....................................................................................................
I believe if you divided the 15 by 5 and didn't flip the sign you would get D.*.........................
Also, sorry, my enter key isn't working right, so it's all scrunched together.