Answer:
b, e
Step-by-step explanation:
a, b) ordinarily, we claim the variable on the vertical axis is a function of the variable on the horizontal axis. By that claim, <em>temperature is a function of time</em>.
If the graph passed the horizontal line test (a horizontal line intersects in one place), then we could also say time is a function of temperature. The graph does not pass that test, so we cannot make that claim.
c) The graph has negative slope between 4:00 and 5:00. Temperature is decreasing in that interval, not increasing.
d) The graph has two intervals in which it is horizontal: 5:00-9:00 and 11:00-12:00. In those intervals it is neither increasing nor decreasing.
e) The graph shows a minimum in the interval 11:00-12:00. <em>The lowest temperature first occurs at 11:00</em>.
Answer:
(f • g)(3) = 100, the distance in miles the bus traveled
Step-by-step explanation:
The product of (miles/hour) and (hours) is (miles), so only answers with units of distance are applicable. The numbers are ...
f(3) = 2·3² +2 = 20 . . . . miles per hour
g(3) = 3+2 = 5 . . . . hours
so (f·g)(3) = f(3)·g(3) = 20·5 = 100 . . . . miles
This means only the first answer choice is applicable.
Answer:
A. 
Step-by-step explanation:
This is a great question! The first thing we want to do here is to take the constant out of the expression, in this case 5. Doing so we would receive the following expression -
We can then apply the power rule " 
", where a = exponent ( in this case 4 ),
From now onward just simplify the expression as one would normally, and afterward add a constant ( C ) to the solution -
- Add the exponents,
- 5 & 5 cancel each other out,
- And now adding the constant we see that our solution is option a!
We need to work out first the scale factor of the side length
Side MN correspond to the side JK
Side MN = 3.5 cm
Side JK = 14 cm
Scale factor = 14/3.5 = 4
Side OM correspond to side LJ
Side OM = 12 cm
Side LJ = 12 × 4 = 48 cm
Answer:
Part A: a) Corresponding angles
Part B: b) 12x - 10 = 10x + 8
Part C: x = 9
m<1 = 98
m<2 = 82
Explanation:
B)
Since they're corresponding angles, they're equal to each other:
12x - 10 = 10x + 8
C)
12x - 10 = 10x + 8
2x = 18
x = 9
m<1:
12(9) - 10 = 98
m<2:
98 + y = 180
y = 82
