Y=7
It's a horizontal line at height 7
The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.
<h3>What do a polynomial's leading term and leading coefficient mean?</h3>
- The term with the highest power of x is the leading term in a polynomial.
- As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.
We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).
Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)
Substituting f(x) = 100 and x = 5,
100 = c(4)(6)(3)
100 = c72
c= 1.38
Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.
Learn more about polynomial here:
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Answer:
x = 8.5
Step-by-step explanation:
You have all three angles already, so it's easy: 90°, (4x - 8)°, (6x + 13)°
The sum of all angles is 180°
90 + (4x - 8) + (6x + 13) = 180
10x + 95 = 180
- 95 -95
10x = 85
x = 8.5
Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
