Theorem: If a function y = f(x) has a real root of b, then (x – b) is a factor of f(x).
As given in the problem, there are two roots: –2 and 1/2. The multiplicity of 1/2 is 2 meaning that the root 1/2 repeats twice. So the function f(x) can be written like this.
f(x) = k• (x – (–2))(x – 1/2)^2 = k•(x + 2)(x – 1/2)^2
We're supposed to find the coefficient k to complete the function.
Given that f(–3) = 5, we can plug –3 in for x and 5 in for f(x).
So 5 = k •(–3 + 2)(–3 – 1/2)^2
5 = k(–1)(–7/2)^2
5 = -k•49/4
Then 5 • 4/49 = -k
Or k = –20/49
So the function with the least degree is
f(x) = –20/49 (x + 2)(x – 1/2)^2.
Given
12 meters tall airplane
18 meter shadow of airplane
6 meter shadow of jet
Find the measurement of the jet (y)
Solution
6y = 12 + 18 30
----- --------- ----> y = ------- -----------> y= 5
6 6 6
The answer is 5 meters tall is the measurement of a parked jet.
Answer:
-10
Step-by-step explanation:
f(-4)=-(-4)-5
f(-4)=-1
g(-6)=2(-6)+3
-12+3
g(-6)=-9
add together:
-1+-9
=-10
Answer:
AB = 4.5 units
Step-by-step explanation:
Let the length of AB be x.
<em><u>GIVEN</u></em><em> :-</em>
- BC = 3 units
- CD = 4 units
- ED = 6 units
- BD || AE
<em><u>TO FIND</u></em><em> :-</em>
<em><u>FACTS TO KNOW BEFORE SOLVING</u></em><em> :-</em>
<em><u>Basic Proportionality Theorem</u></em> :-
- If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points , the other two sides are divided in the same ratio.
<em><u>PROCEDURE</u></em><em> :-</em>
According to Basic Proportionality Theorem ,
∴ AB = 4.5 units
360 because the sides are 120, 130, 60, and 50