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bonufazy [111]
3 years ago
13

15. (x - 3) If f(x) = 2x2 – 5, find the following. 16.fly-2) 17. f(a+h)-f(a)

Mathematics
1 answer:
Masteriza [31]3 years ago
8 0

Answer:

16. f(y-2) = 2(y-2)²-5

= 2(y²-4y+4)-5

= 2y²-8y+8-5

= 2y²-8y+3

17. f(a+h)-f(a) = 2(a+h)²-5-(2a²-5)

= 2(a²+2ah+h²)-5-2a²+5

= 2a²+4ah+h²-2a²

= h²+4ah

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2 years ago
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Cerrena [4.2K]
Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation.<span> A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. </span><span>Whatever we do to one side, has to be done on the opposite side.</span>

9|4p + 2| + 8 = 35 

&#10;9|4p+2|=35-8&#10; &#10;                Subtract \ 8 \ from \ both \ sides
 
9|4p+2|=27&#10;&#10; &#10; 

|4p+2|= \dfrac{27}{9}    Divide \ both \ sides \ by \ 9

|4p+2|=3 

Break \ down \ the \ problem \ into \ these \ 2 \ equations 

&#10;4p+2=3&#10; &#10; 

-(4p+2)=3 

Solve \ the \ 1st \ equation: \ 4p+2=3 

4p=3-2   <span> Subtract \ 2 \ from \ both \ sides 
</span>
4p=1 

p= \dfrac{1}{4}   <span> Divide \ both \ sides \ by \ 4 
</span>
Solve \ the \ 2nd \ equation: \ -(4p+2)=3 

-4p−2=3   Simplify \ brackets 

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p= -\dfrac{5}{4} , p= \dfrac{1}{4} 
8 0
3 years ago
In a recent baseball season, Ron was hit by pitches 21 times in 602 plate appearances during the regular season. Assume that the
ozzi

Answer:

the probability that Ron will get hit by a pitch exactly once is 36.71%

Step-by-step explanation:

The random variable X= number of times Ron is hits by pitches in 23 plate appearances  follows ,a binomial distribution. Where

P(X=x) = n!/(x!*(n-x)!)*p^x*(1-p)^x

where

n= plate appearances =23

p= probability of being hit by pitches = 21/602

x= number of successes=1

then replacing values

P(X=1) = 0.3671 (36.71%)

8 0
3 years ago
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kykrilka [37]

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7 0
3 years ago
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