Answer:
The axis of symmetry is x = 6
Step-by-step explanation:
To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.
x + 9 = 0
x = -9
x - 21 = 0
x = 21
Now take the average of these two numbers.
(-9 + 21)/2
12/2
6
Answer:
Number of permutations = 5040
Step-by-step explanation:
We are given the word 'INNOVATIVE', that has total 10 letters.
Now, we are asked to form words using exactly 4 letters at a time i.e. out of 10 letters we are using 4.
Therefore, the number of permutations that can be formed using 4 letters are = P(10,4)
i.e. 
= 
= 
= 
= 10*9*8*7
= 5040
Lets say a=2 and b=5 you now plug in you numbers to get 3x2x5 we know 3x2=6 so now take 6 and multiply it by 5 so 6x5=30 you can also set this equal to 0 3ab=0 then divide by either a or b ill show you both if you divide by a you are left with 3b=a if you divide by b than you get 3a=b
f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
Step-by-step explanation:
interchanging the variables
x = 5y^2 + 10
5y^2 +10 = x
5y^2 = x - 10
dividing by 5
5y^2/5 = x/5 + -10/5
y^2 = x/5 + - 10/5
y^2 = x/5 - 2
y = 5 (x-10) 0/5 (sq.rt)
g(5x^2 + 10) = 5x/5
g(5x^2 + 10) = x
f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
Answer:
$55.80
Step-by-step explanation:
First, find how much Janet saved by finding 1/5 of 15.50:
15.50/5
= 3.1
Find how much Rob saved by multiplying 3.1 by 12:
3.1(12)
= 37.2
Then, find the total saved amount by adding them all together:
15.50 + 3.1 + 37.2
= 55.8
So, they saved $55.80 in total
