The equation for a rational function with: Vertical asymptotes at x = 2 and x = -4. x-intercepts at x = 1 and x = 4. y-intercept at 9 is
<h3>How to determine the equation for a
rational function</h3>
<u>information gotten from the question</u>
From the question given above, the following data were obtained:
- Vertical asymptotes at x = 2 and x = -4
- x-intercepts at x = 1 and x = 4
- y-intercept at 9
- y =?
Rational function means that the equation will be a fraction
The rational function that models the Vertical asymptotes at x = 2 and x = -4. x-intercepts at x = 1 and x = 4. y-intercept at 9 is written as follows
The numerator
x-intercepts at x = 1 and x = 4
x = 1 ⇒ (x - 1)
x = 4 ⇒ (x - 4)
This means the equation will have (x - 1) (x - 4) as the numerator
The denominator
Vertical asymptotes at x = 2 and x = -4
x = 2 ⇒ (x - 2)
x = -4 ⇒ (x + 4)
This means the equation will have (x - 2) (x + 4) as the denominator
y-intercept at 9
expressing the functions derived already gives
substituting x = 0 and y = 9 and solving gives a
4a = 9 * -8
a = -36
The equation of the rational function is
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Answer:
(-14,0)
Step-by-step explanation:
lets find the equation of the line first
so lets take two points (-74,18) and (-54,12)
so slope is rise/run= -6/ 20 or -3/10
plugging into the equation
y= mx+b
we get
12= 5.4*3+b
12= 16.2+b
b= -4.2
so equation is y= -.3x-4.2
simplyfying we get
10y= -3x-42
3x= -10y-42
x= -10y-14
so we see that the x intercept is (-14,0)
if my answer helps please mark as brainliest.
Answer:
Step-by-step explanation:
Givens
Parallelogram EASY with diagonal ES
<AES = 40
<Y = 110
Solution
<AES = 40 GIVEN
<ESY = 40 Z THEOREM OF A PRALLELOGRAM
<A = <Y PROPERTY OF A PARALLELOGRAM
<A = <110 <A = 110 BECAUSE <Y = 110
<YES = 180 - <Y -<ESY EVERY TRIANGLE HAS 180o
<YES = 180 - 110 - 40 SIMPLIFY
<YES = 30
<YEA = <YES + <AES WE KNOW BOTH ANGLES ON THE RIGHT.
<YEA = 30 + 40 COMBINE
<YEA = 70
You could do <YEA by noting that consecutive angles of a Parallelogram equal 180
Answer:
well then... idek sorry :(
Step-by-step explanation:
please mark brainliest