lox (x) = -5
rewrite the equation in exponential form:
10^-5 = x
10^-5 = 1/10000
1/10000 = 0.00001
That is the correct answer.
So in this case, the solution is where the graphs intersect. Put the equations in y-intercept form.
-4x+y=-6
y=4x-6
8x-2y=14
-2y=14-8x
y=4x-7
These lines have the same slope, which is 4. Therefore, they are parallel. Parallel lines never intersect, so there is NO SOLUTION.
16. LCD: 48 because 1/4= 12/48, 1/12=4/48, 11/16= 33/48 and they all share 48 as the denominator
17. LCD: 168 because 5/56= 15/168, 7/24= 49/168, 7/12= 98/168, 5/42= 20/168
18. LCD: 30 because 2/1= 60/30, 1/5= 6/30, 1/10= 3/30, 5/6= 25/30
Answer:
Step-by-step explanation:
This is a problem of SETS.
Start by listing out important data:
1. Total that said F = 55
2. Total that said P = 51
3. Total that said O = 61
4. F only = 9
5. F ∩ P ∩ O = 26 [NOTE: If you were to draw a Venn Diagram, 26 would be in the innermost circle because it comprises all three categories]
6. F ∩ P = 31
7. P only = 8
8. Students that said none of the 3 reasons = 4
QUESTIONS
1. How many said O and P? In other words, find the intersect of O and P. Find O ∩ P
2. How many said either F or O? [Answer to be gotten using a venn diagram] Find F ∪ P which translates to "F union P"
3. How many said F without saying P? [Answer to be gotten from the venn diagram as well]
4. How many students in total were surveyed? [HINT: Remember to include the 4 students that had none of the three options]
Answer:
8
Step-by-step explanation: