X² + 3x < 28
x² + 3x - 28 < 0
(x+7)(x-4) < 0
the zeros will be at x = -7 and x =4
∴ the solution of inequality
x ∈ (-7,4)
See the attached figure
Answer:
First city: $5,500
Second city: $5,000
Step-by-step explanation:
Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:
y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)
Then we can say
0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)
We place the value of y from the first equation in the second equation:
0.065x + 0.045 (x - 500) = 582.50
0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...
0.11x = 605
x = 5,500
The cost of the first hotel was $5,500
Thus, the cost of the second hotel was $5,000 (x - 500)
Answer:
- f(x) should be reflected across the y-axis
- f(x) should be horizontally translated
Step-by-step explanation:
We imagine Jenessa's elevation plots might look like those in the attachment. The red graph would be of f(x) when preparing for the race, and the green graph would be f(x) during the race.
The green graph is not a simple reflection or translation of the red graph, but is a combination of both. Thus, the two answer choices shown above are both applicable.
A=b/c -b/d
a+b/d=b/c
(da+b)/d=b/c
db=(da+b)c
c=db/da+b