Answer:
y = -(x + 2)² + 1
Step-by-step explanation:
Parent function given in the graph is a quadratic function,
f(x) = x²
Since, graph is opening downwards transformed function of the preimage will be,
g(x) = -x²
This transformed function is shifted further by 2 units left horizontally and 1 unit upwards.
Therefore, rule for the transformation will be,
g(x) → h[(x + 2), (y + 1)]
By this rule transformed function will be,
h(x) = -(x + 2)²+ 1
Equation of the curve will be,
y = -(x + 2)² + 1
Easy
median is the number in the middle when they are arranged in increasing numerical order
example
1,2,3
median is 2 becaus it is in middle
1,4,6,7,8
6 is median
if you have an even amount then average the middle two
1,3,5,7
median is the mean of 3 and 5 which is 4
so
3,5,7,11,23
median is 7 right now
there are an odd amout of numbers
adding 1 will result in even
to find the median of even set of numbers, average the 2 middle ones
right now 7 is center
the mean of 5 and 7 is 6
the mean of 7 and 11 is 9
we want a mean of 9
so add any number greater than or equal to 11
3,5,7,11,12,23 is one option
3,5,7,11,23,50 is another
mean is 9
mean is the average of them
x is the number to be added
6 numbers will be the set since there are 5 now and adding 1 will get 6
(3+5+7+11+23+x)/6=9
(49+x)/6=9
times both sides by 6
49+x=54
minus 49 both sides
x=5
the number added must be 5
to make the median of the 6 numbers 9, add any number greater than or equal to 11, such as 12 or 234
to make the mean 9, add 5 to the set
Answer:
12 =x
There is one solution
Step-by-step explanation:
4x + 8 = − 2 − 2 + 5x
Combine like terms
4x+8 = -4+5x
Subtract 4x from each side
4x-4x+8 = -4+5x-4x
8 = -4+x
Add 4 to each side
8+4 = -4+4+x
12 =x
Answer:
50 cm
Step-by-step explanation:
Convert 1.425km into cm
1.425 * 1000 * 100 = 142500 cm
Divide the total cm by total no of steps
142500/ 2850 = 50cm