Answer:
In a herd no. of Cattle are: x
The ratio of bulls to cows is 1:6
\frac{bulls}{cows} = \frac{1}{6}
6 bulls = 1 cows
bulls \: + cows = x
bulls + 6 \: bulls \: = x
7bulls = x
Answer:
8 and 3
Step-by-step explanation:
We first want to add 5 to both sides, making the equation x^2 -11x +24=0, now, we want to use the quadratic formula, which is( -b <u>+</u> sqrt(b^2 -4ac)) /2a
for equations of the form ax^2 + bx +c, so in our case, a =1, b= -11, and c=24,
when you plug in the variables, you will get the answers! :)
<h3>Answer:</h3>
<h3>Explanation:</h3>
You can try the choices to see which one works. The differences between an values double each time. They have the sequence 1, 2, 4, 8. So, you know that choices A) and D) do not work. They show the difference to be constant at 1 or 8. Since the differences are multiplied by 2, C) is a reasonable choice. Trying that, we find it describes the sequence perfectly:
a2 = 2·2 -1 = 3
a3 = 2·3 -1 = 5
a4 = 2·5 -1 = 9
a5 = 2·9 -1 = 17
___
Trying choice B on the last term, we have
... a5 = 3·a4 -3 = 3·9 -3 = <em>24 ≠ 17</em>
Given:
The function is
To find:
The average rate of change of the function over the interval −5 ≤ x ≤ 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is
Putting x=-5 in the given function, we get
Putting x=4 in the given function, we get
Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is
Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.