Answer: 
Step-by-step explanation:
q(x) is increasing for
.
p(x) is increasing for
.
So, both functions are increasing for
.
Answer:
4 trips
Step-by-step explanation:
Given that:
Dimension of rectangular tank :
(20cm * 30cm * 40cm)
Dimension of cubic container used to fill tank = 20cm per side
Volume of tank = (20 * 30 * 40) = 24400 cm³
Volume of cubic container = (20 * 20 * 20) = 8000 cm³
Number of trips it would take :
Volume of tank / volume of container
24400 cm³ / 8000 cm³
= 3.05
Hence, it will take 4 trips
Answer
Substitute w by 7
7^3
7x7x7 =343
Answer:
SAS theorem
Step-by-step explanation:
If
and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

So,
and m∠ECD = m∠BCA because vertical angles are congruent
Therefore ΔECD is similar to ΔBCA by SAS theorem
Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation:
which is essentially
. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you:
that's the rate of change