Answer: True!
We know this is true because a linear inequality uses less than/greater than and less than or equal to/greater than or equal to. This means that as long as the answer fits into the given constraints (in a graph these constraints are shown as lines and dashed lines), it is true.
Answer:
x = 31
Step-by-step explanation:
The given angles are supplementary and their sum is 180 degrees
5x - 16 + x + 10 = 180 add like terms
6x - 6 = 180 add 6 to both sides
6x = 186 divide both sides by 6
x = 31
Consistient means they have countable number of solutions (example, a point, not a line since lines are infinite)
inconsitient means they have no solutions (no points of intersection)
dependent means that they have infinite solutions (most likely becasue they are the same equaiton)
6x-2y=10
9x-3y=9
divide first equation by 2
3x-y=5
multipliy by -3
-9x+3y=15
add to second equation
-9x+3y=15
<u> 9x-3y=8 +</u>
0x+0y=23
0=23
fales
therfor it is inconsistient
Answer:
see image
Step-by-step explanation:
If 21 people study French and everyone studies some language, then the other 4 people must be Spanish only students. 25 - 21 =4
Since 13 people study Spanish,
13-4=9
9 people must study both Fr and Sp.
If 9 people study BOTH, then
21-9=12,
12 people must be the Fr only people.
The arch-looking, upsidedownU is intersect.
Fr intersect Sp are the StudyBOTH people.
P(Both) = Both/Total
= 9/25
If you need %, divide 9÷25 and times by 100. That's 36%
F' means Not French people, which is Spanish only people (thankfully there are no No-Language-studiers bc they would count too)
P(F')
= P (not Fr)
= P (Sp Only)
= 4/25 = 16%
Your answer will be D. hope I helped and its the only one that is reasonable
