Answer:
9z
Step-by-step explanation:
4th root of z = z^1/4
=> 3 * z^1/4
=> 3z^1/4
3z^1/4 * 3z^3/4
=> 3 x 3 x z^1/4 + 3/4
=> 9z^4/4
=> 9z^1
=> 9z
Answer:
y - 4 = 0
Step-by-step explanation:
They give you the y coordinate, 4, and the x coordinate as 0.
Put 4 in as y.
4 - 4 = 0. That means x = 0 and that is right.
To make sure it has a slope of zero, subtract 4 on both sides.
You get : y = 4. This means that the line will be straight and it will have a slope of zero.
Answer:
12
Step-by-step explanation:
Put numbers in order from least to greatest.
8,8,9,9,10,11,13,14,14,14,15,16.
Find the number in the middle.
Because 12 is an even number we have to take the two middle numbers, in this case 11 and 13, add them and then divide that number by 2.
11+13= 24
24 ÷ 2 =12
So the median weight is 12.
Answer:
"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the
-coordinate of the quadratic function, and then substituting that value into the function."
Step-by-step explanation:
Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a <em>polynomial</em> of degree 2, which is a fancy way of saying that something is a quadratic), the
-coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.
In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve
, which gives
(the 'V' stands for 'or'). We can take the average of the two roots to get the
-coordinate of the minimum point of the graph (which, in this case, is
).
Having the
-coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the
-coordinate of the extremum.
Answer:8^3 2 A
Step-by-step explanation: