Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
Option b) 6-10 lbs
Step-by-step explanation:
Given that X, the weight of toy American Eskimo dog has mean of 8 pounds with a standard deviation of 1 pound
For 95% of the dogs according to normal distribution would lie between 2 std deviations on either side of the mean.
i.e. lower bound= Mean- 2 std deviation = 8-2 =6
Upper bound = Mean +2 std dev = 8+2 =10
Hence range of weights would be
6-10 lbs
Option b is the answer
For this sort of problem, you need to be familiar with prefixes.
So:
megabyte = 
bytes
kilobyte = 
bytes
and a regular byte would just be 
Now, you will need to do a conversion:
I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are 
bytes!)
In the second fraction thought, remember one kilobyte is bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do 
, but I think it is more correct to do write it out how I did).
*** They do equal the same thing though! Do whichever way is easier for you!
Now, your answer should be:
kilobytes (1000 kilobytes)
Hope this helped!
Answer:
The formatting on this is a little weird but if I'm reading it correctly:
1) 3.38
2) 7.29
3) 0.05
4) 0.42
Is one of the answer choices no solution because that’s what I got.
