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3 years ago

If (x) = 3x - 5 and g(x) = x + 3, find (f - g)(x).

Mathematics

2 answers:

Temka [501]3 years ago

8 0

Answer:

2x -8

Step-by-step explanation:

f (x) = 3x - 5

g(x) = x + 3,

(f - g)(x) = 3x - 5 - ( x+3)

Distribute the minus sign

= 3x-5 -x-3

Combine like terms

= 2x -8

yarga [219]3 years ago

4 0

Answer:

Step-by-step explanation:

(f-g)(x)=(3x-5)-(x+3) = 3x-5-x-3 = 2x-8

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svp [43]

Answer:

B or

Lower quartile: 124

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Upper quartile: 137

Step-by-step explanation:

To find the median first make the data in order from greatest to least:

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Then find the middle 2 numbers which are 129 and 133

129+133=262 (divide by 2 to find average) so

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B or

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Answer:

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Step-by-step explanation:

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3 years ago

A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m

photoshop1234 [79]

Answer:

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

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$=\dfrac{35\times 1609.34}{3600}\ m/s$

= 15.64 m/s

Initial kinetic energy of the car is given by,

$k_1\ =\ \dfrac{1}{2}.m.v_1^2$

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Final velocity of car v2 = 70 miles/hour

$=\dfrac{70\times 1609.34}{3600}$

= 31.29 m/s

So, final kinetic energy of car is given by

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$=\ \dfrac{1}{2}\times 1500\times (31.29)^2$

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Now, the ratio of final to initial kinetic energy can be given by,

$\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}$

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