MATHEMATICS HIGH SCHOOL

This table represents the boiling point of water at different altitudes. Which equation represents water's boiling point (y) based on the change in altitude (x)? Altitude (thousands of feet) Boiling Point of Water (Fahrenheit) (sea level) 0 212 0.5 211.1 1.0 210 2.0 208.4 2.5 207.5 3.0 206.6 4.0 204.8 4.5 203.9

Answers

Answer 1
Answer:

Answer:

The required equation is y=-1.8x+212.

Step-by-step explanation:

We are given,

The table showing the boiling points of water at different altitudes.

We will find the slope of the equation using m=(y_(2)-y_(1))/(x_(2)-x_(1)).

Taking points (0,212) and (0.5,211.1) and substituting in the formula,

Slope is m=(211.1-212)/(0.5-0)

i.e. Slope is m=(-0.9)/(0.5)

i.e. Slope is -1.8

Substituting slope and the point (0,212) in the equation y=mx+b, we will find the value of y-intercept 'b'.

That is, 212=-1.8* 0+b i.e. b= 212

Thus, the required equation isy=-1.8x+212.

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Find the gcf
14abc and 28a^2b^2c^3

Answers

gcf mean great common factor 
so between 14abc and 28a^2b^2c^3 the great common factor will be 

between 14 and 28 is 14 
btw. a and a^2 is a
btw. b and b^2 is b
btw. c and c^3 is c 
---------------------------------
so the gcf will be 14abc

hope helped 

Jane is given this sequence and is asked to write the definition. Which definition describes the sequence.

Answers

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Allison has worked these times this week: 8:03 am 5:13 pm
7:58 am 4:49 pm
7:46 am 4:41 pm
8:23 am 4:50 pm
7:31 am 4:32 pm
How many hours did she work?



44.25

45

50

55.25

Answers

8:03 am 5:13 pm = 9 hrs 10 mins
7:58 am 4:49 pm = 8 hrs 51 mins
7:46 am 4:41 pm = 8 hrs 55 mins
8:23 am 4:50 pm = 8 hrs 27 mins
7:31 am 4:32 pm = 9 hrs 01 mins

Total = 44 mins 24 mins

Answer:

the Answer is 44.25

Step-by-step explanation: took the test

Factor the GCF: −6x3y + 9x2y2 − 12xy33xy(−2x2 + 3xy − 4y2)

−3xy(2x2 + 3xy − 4y2)

−3xy(2x2 − 3xy + 4y2)

−3(2x3y − 3x2y2 + 4xy3

Answers

Answer:

Option C is the answer.

Step-by-step explanation:

We have to factor the GCF of the given expression:

-6x³y + 9x²y² - 12xy³

To get the GCF of the given expression we will find the factors of each term first.

Factors of 6x³y =  2 × 3 × (x) × (x) (x) (y)

Factors of 9x²y² = 3 × 3 × (x) (x) (y) (y)

Factors of 12xy³ = 2 × 2 × 3 × (x) (y) (y) (y)

So the common factor is 3 × (x) (y)

Now we will take out the GCF as a factor of the given expression = 3xy (-2x² + 3xy - 4y² )

= -3xy ( 2x² - 3xy + 4y² )

Option C is the answer.
-6x^3y + 9x^2y^2 - 12xy^3
-3xy(2x^2) - 3xy(-3xy) - 3xy(4y^2)
-3xy(2x^2 - 3xy + 4y^2)

The answer is C.

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Answers

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Answers

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