The x² term will be C(5,2)x²·2³ = 80x².
The coefficient is 80.
_____
C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5·4/(2·1) = 10
Answer:
72°
Step-by-step explanation:
The circle is divided into 5 parts.
A circle measures 360°.
360/5 = 72°
hope this helps!! p.s. i really need brainliest :)
Answer:
15 students
Step-by-step explanation:
25% = 1/4, so you can just do 1/4 of 60 or 1/4 * 60. 60/4 = 15 students.
Answer:
y = -7(x +1)² +35
Step-by-step explanation:
The given quadratic equation has two parameters you are asked to find. When you fill in the given point values, the result is two linear equations in the two unknown parameters. You can solve these equations in any of the usual ways.
__
<h3>equation for point (1, 7)</h3>
y = a(x +1)² +k
7 = a(1 +1)² +k
7 = 4a +k
<h3>equation for point (2, -28)</h3>
-28 = a(2 +1)² +k
-28 = 9a +k
<h3>solution</h3>
The first equation can be subtracted from the second equation to eliminate the k variable. (This is solving by <em>elimination</em>.)
(-28) -(7) = (9a +k) -(4a +k)
-35 = 5a . . . . . . . . simplify
-7 = a . . . . . . . . divide by 5
Using the first equation, we can find k.
7 -4a = k . . . . . subtract 4a
7 -4(-7) = k . . . . substitute for 'a'
35 = k
The parameter values are a = -7, and k = 35. The quadratic equation is ...
y = -7(x +1)² +35
Answer: 21 quarts of blue paint
Step-by-step explanation: To make a batch of purple paint, it is necessary 2 quarts of red and 3 quarts of blue, resulting in 5 quarts of purple.
So, to make 35 quarts of purple:
5x = 35
x = 7
It is needed, in total, 7 quarts of purple.
As, the ratio is 2 quarts of red to 3 quarts of blue:
Blue: 7 x 3 = 21
For 35 quarts of purple paint, it's necessary 21 quarts of blue paint.