Answer:
Range of Function : { - 9, - 5, - 1, 4 }
Step-by-step explanation:
We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.
{ - 2, 0, 2, 4 }
y = 2( - 2 ) - 5 = - 9,
y = 2( 0 ) - 5 = - 5,
y = 2( 2 ) - 5 = - 1,
y = 2( 4 ) - 5 = 4
We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.
Answer:
Step-by-step explanation:
so first we need to find the height so by splitting the isosceles triangle into two right-angled triangles and then applying Pythagoras' Theorem to one of them.
We now know the height of the triangle and can use this to go back and find the area of the isosceles triangle.
area of triangle = 
x base x height
area of triangle = x 10 x 12
area of triangle = 60
It would be: k+3 = 10
subtracting 3 from both sides,
k+3-3 = 10-3
k=7
1 hr = 60 min
1/6 hr = (60/6) min = 10 min
so the bell rings every 10 min. Since 1 hr = 60 min, this means that 2/3 of that is 40 min. So the bell will ring 4 times (divide 40 over 4) in the next 2/3 of an hour, which is the same as saying "the bell will ring 4 times in the next 40 minutes"
Answer: 4 times
