Answer:
Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:
Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):
It follows that b=0
The equation now takes the form:
Using the point (12,5):
We find m:
The final equation is:
Substituting t=1:
The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:
"Quantitative" information is information that consists of numbers
and tells you the measure (quantity) of something.
The cost, mileage, and weight of the car are all quantitative items.
The model of the car may have numbers in it, but it doesn't tell
the measure of anything. It isn't quantitative data.
Answer:
D) 140°
Step-by-step explanation:
The total number of degrees in a triangle is 180. Since both sides of the triangle are the radius of the circle, the triangle is isosceles. Therefore the two opposite angles are equal. Thus, the central angle is 180° − 2(20°) = 140°.
Answer is x = 7
if u plug in 7 in the second expression, we can get 7 - y = 4, isolate y and then we get 3.
Now, plug in 7 in the first equation to get 2(7) + y = 17. that results to 14 + y = 17. isolate y again and then thats also 3.
so:
x = 7
y = 3
Answer:
Domain: allrealnumbers
Range: f(x) <= -8
Step-by-step explanation:
This equation shows that this shape is a parabola that is opening downwards (because of the negative in the -5/6)
This means it has a highest point. The x+2 means the curve is shifted/slid/tranlated to the right 2 units and the -8 at the end shows that it is slid/shifted/translated down 8 units. So the curve only exists starting from -8 and going down. That is the range f(x) <= -8
All upward and downward opening parabolas have a domain of all real numbers.
