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3 years ago

(2-2) slope intercept form

Mathematics

1 answer:

____ [38]3 years ago

8 0

Answer:

y=mx+b

Step-by-step explanation:

m=slope B= y intercept

(2-2) y=(mx+b)

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Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was

Flura [38]

Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = $x$ units/hr

Let the original time taken by Jonathan = $y$ hours

Let the distance = $D$ units

Formula for distance is given as:

$Distance = Speed \times Time$

Given that half the distance is covered by original speed.

$\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)$

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

$\dfrac{5}{4}x\ units/hr$

Hence, Time taken:

$\dfrac{y}{2}-\dfrac{1}{2}$

Distance traveled is half of the total distance:

$\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)$

Dividing (1) by (2):

$\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours$

5 0

2 years ago

A fair coin is flipped 120 times. Estimate the expected number of ‘heads’.

Bumek [7]

when coin is flipped 5 times probability is 1/2

so coin heads comes out to be 2.5

This is a binomial distribution with a probability of success = 0.5 (fair coin).

n=10

mean = E[x] = np =10*0.5 =5

7 0

2 years ago

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Which unit of measure is the most reasonable to measure the length of your pet hamster?

Viktor [21]

Inches is the correct answer

7 0

2 years ago

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"Let x = any negative rational number. Which statements are true?" This is a question asked from a relative, not an assignment.

timofeeve [1]

Answer: A,B and d

Cause i have a brain

3 0

3 years ago

26-4=12+ missing number

saw5 [17]

22-12=10

so this missing answer after the + is 10

7 0

3 years ago

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