Answer:
10
Step-by-step explanation:
substitute the given values into the expression
2(x + z) - y
= 2(6 + 3) - 8
= 2(9) - 8
= 18 - 8
= 10
Answer:
7^2
Step-by-step explanation:
7*7=49
4^3=43
49>43
In the number 14,423, the digit '4' comes up twice, in the thousand and hundred position.
The farther to the left a digit is, the higher that number is compared to another digit to the right of it.
This is why 1,000 is higher than 999.
In the number 14,423, there are two values for four: thousand (four thousand) and hundred (four hundred)
Answer: Option C

Step-by-step explanation:
Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

If
then the graph of k(x) will be the graph of f(x) displaced vertically b units down.
If
then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.
In this case we have

We know that this function has its vertex in point (0,0).
Then, to move its vertex 7 units down we apply the transformation:
.
Then the function k(x) that will have its vertex 7 units below f(x) is

Given:
y-intercept of the graph: (0, 90)
zeros: 5 and 9
The equation that models the function based on the zeros given, is either
y = 90 (x-5) (x-9)
or
y= 2(x-5)(x-9)
try solving for the y-intercept of each function,
y = 90 (0-5) (0-9)
y = 4050
(0, 4050)
y = 2(0-5) (0-9)
y = 90
(0, 90)
therefore, the equation that models the function is y = 2(x-5)(x-9)