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2 years ago

If f(x) = x2 + 2x, then find f(a+h)-f(a)

Mathematics

1 answer:

sertanlavr [38]2 years ago

6 0

Subsitute a+h for x and a for x

f(a+h)-f(a)=
(a+h)^2+2(a+h)-(a^2+2a)
a^2+2ah+h^2+2a+2h-a^2-2a
2ah+h^2 is the result

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Consider a uniform distribution from aequals4 to bequals29. (a) Find the probability that x lies between 7 and 27. (b) Find th

weeeeeb [17]

Answer:

a) 80% probability that x lies between 7 and 27.

b) 28% probability that x lies between 6 and 13.

c) 44% probability that x lies between 9 and 20.

d) 28% probability that x lies between 11 and 18.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.

$P(c \leq x \leq d) = \frac{d - c}{b - a}$

Uniform distribution from a = 4 to b = 29

(a) Find the probability that x lies between 7 and 27.

So $c = 7, d = 27$

$P(7 \leq x \leq 27) = \frac{27 - 7}{29 - 4} = 0.8$

80% probability that x lies between 7 and 27.

(b) Find the probability that x lies between 6 and 13. 

So $c = 6, d = 13$

$P(6 \leq x \leq 13) = \frac{13 - 6}{29 - 4} = 0.28$

28% probability that x lies between 6 and 13.

(c) Find the probability that x lies between 9 and 20.

So $c = 9, d = 20$

$P(9 \leq x \leq 20) = \frac{20 - 9}{29 - 4} = 0.44$

44% probability that x lies between 9 and 20.

(d) Find the probability that x lies between 11 and 18.

So $c = 11, d = 18$

$P(11 \leq x \leq 18) = \frac{18 - 11}{29 - 4} = 0.28$

28% probability that x lies between 11 and 18.

3 0

2 years ago

Buying a new car can create a financial challenge because car

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2 years ago

What is tje equation for the linear function whose graph contains the points (2,5) and (3,0) ?

dolphi86 [110]

In order to find a slope, there is an equation:

Y2-Y1/X2-X1

X1=2
X2=3
Y1=5
Y2=0

0-5= -5
3-2=1

Since slope is written as Y/X, slope would be-5/1 or simply, -5.

Now, we need to find the y-intercept.

To do this, shift the original equation:

Original equation: y=-5x+b

Shifted equation: b=y+5x

Now, plug in one of the points.

Let's use (2,5)

b=5+5(2)

5*2=10
10+5=15

y-intercept=15

So, the full equation of the line would be:

y=-5x+15

4 0

2 years ago

Kay added 253 + 14 and got a sum of 393. What did she do wrong? Check all that apply.

SashulF [63]

Answer:

She did not correctly add up the numbers

Step-by-step explanation:

253 + 14 = 267

3 0

2 years ago

Help immediately please

Debora [2.8K]

Answer:

35,45,55 is not a triangle

Step-by-step explanation:

The three angles of a triangle add to 180

30+60+90 = 180

true

45+55+80 = 180

true

30+45+105 =180

true

35+45+55 =180

135 does not =180

false

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3 years ago