Answer:
x < 9
Step-by-step explanation:
subtract 7 from both sides of the inequality
- 4x > - 36 ( divide both sides by - 4 )
When multiplying/dividing by a negative quantity the symbol is reversed
x < 9 ← note reversal of symbol
Hey there :)
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
so
and
so
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1
Answer: x = 0
y = 2
z = -1
Step-by-step explanation:
The system of equations are
x+y+z=1 - - - - - - - - - - 1
-2x+4y+6z=2 - - - - - - - - - 2
-x+3y-5z=11 - - - - - - - - - 3
Step 1
We would eliminate x by adding equation 1 to equation 3. It becomes
4y -4z = 12 - - - - - - - - - 4
Step 2
We would multiply equation 1 by 2. It becomes
2x + 2y + 2z = 2 - - - - - - - - - 5
We would add equation 2 and equation 5. It becomes
6y + 8z = 4 - - - - - - - - - 6
Step 3
We would multiply equation 4 by 6 and equation 6 by 4. It becomes
24y - 24z = 72 - - - - - - - - 7
24y + 32z = 16 - - - - - - - - 8
We would subtract equation 8 from equation 7. It becomes
-56z = 56
z = -56/56 = -1
Substituting z = -1 into 7, it becomes
24y - 24×-1 = 72
24y + 24 = 72
24y = 72 - 24 = 48
y = 48/24 = 2
Substituting y = 2 and z = -1 into equation 1, it becomes
x + 2 - 1 = 1
x = 1 - 1 = 0
Answer:
1:52
Step-by-step explanation:
The clock reads 1:45 so simply add 7 minutes to that
First, since we must follow PEMDAS, we need to do the operation that is first, which is addition.
-3.9 + 6.01 ← Adding a negative means subtracting, then giving the sign of the bigger number.
So now we solved those and we got this answer: 2.11
Now, we need to subtract and re-write the expression.
2.11 - (-7.423) = 2.11 + 7.423= 9.533
Ok....so now we have our final answer, and we have the choices above.
The only answer that matches ours is the last one.
Final answer: 9.533
Hope I helped ^_^
