Answer:
The zeros of a graph form the factors of the function. When we multiply the factors out and add the exponents up in the final function, we have the highest exponent known as the degree.
Step-by-step explanation:
A polynomial graph has several features we look for to determine the equations.
- The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.
- Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial.
- The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.
According to the Alternate Exterior Angles Theorem if a pair of Parallel lines are intersected by a transversal(t) then the alternate exterior angle are congurent.-<u>Alternate Exterior Angles theorem and Linear Pair theorem</u>
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Step-by-step explanation:
Alternate exterior angles are said to be those angles that are outside the "block" which is formed by the parallel lines and are placed on the opposite sides of the transversal(t)
From the question we can say that both ∠2 and ∠7 are outside the parallel lines and ∠2 is on the right side of the transversal (t) and ∠7 is on the left side of the transversal. <u>This makes ∠2 and ∠7 alternate exterior angles.</u>
<u>A linear pair is referred to as a pair of angles that are formed from a straight line. When ∠7 and ∠8 combined together they form a straight line this makes them a linear pair.</u>
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<u>According to the Alternate Exterior Angles Theorem if a pair of Parallel lines are intersected by a transversal(t) then the alternate exterior angle are congurent. Hence both Alternate Exterior Angles theorem and Linear Pair theorem is applicable</u>
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4/ 6 or in simplest, 2/3. I know this bc there's only 4 numbers greater than 2. there for me the fraction would be 4/6 the six for the sides and the four for the number of aides greater than two. :)))
Answer:
5 hours and rental would be 45
Step-by-step explanation:
15+6x=5+8x
15-5=8x-6x
10=2x
x=10/2
x=5
so in 5 hours rental would be
15 + 6*5= 45
5 + 8*5 =45
Hope that helps!:)
Answer:
Value of 26.93 will be exceeded 85% of the time.
Step-by-step explanation:
We are given that a random variable is normally distributed with a mean of 25 and a standard deviation of 5.
Let X = a random variable
So, X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = population mean
= standard deviation
Now, we have to find that value which will be exceeded 85% of the time, i.e.;
P(X > ) = 0.85
1 - P(X ) = 0.85
P(X ) = 0.15
P( ) = 0.15
P(Z ) = 0.15
Now, in the z table the critical value of whose less than area is 0.15 is given as 0.3853, i.e;
= 0.3853
= 25 + 1.9265 = 26.93
Therefore, value of 26.93 will be exceeded 85% of the time.