The range of the function is the y-component or the ordinate of the sets of points. The domain of the function meanwhile is the x-component ot the abscissa of the sets of points. In this case, we have the function <span>f(x) = 4x – 3 and given each y, we get the x. Subsituting each y to the function we get the domain equal to {3.535, 4.5, 5, 8}.</span>
Answer:
The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Step-by-step explanation:
Let be
, where
is the stopping distance measured in metres and
is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.
The procedure to find the speed related to the given stopping distance is described below:
1) Construct the graph of
.
2) Add the function
.
3) The point of intersection between both curves contains the speed related to given stopping distance.
In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Answer:
y=-2
Step-by-step explanation:
The formula for inverse variation is
xy =k
if y=7 when x=-2, we can substitute these numbers in to find k
(-2)(7) =k
-14 =k
The equation becomes
xy = -14
Let x =7
7y = -14
Divide each side by 7
7y/7 = -14/7
y = -2
<span>2t+8>-4(t+1)
2t + 8 > -4t - 4
2t + 4t > -4 - 8
6t > -12
t > -2
answer
</span> t > -2
Answer:
x= 45
y= 60
Step-by-step explanation:
For x:
The angles we have are 45 and 90
180°- 45 - 90 = 45
x= 45
For y:
The angles are 30 and 90
180°- 30 - 90 = 60
y= 60