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vlabodo [156]
3 years ago
6

= Homework: Ch 5.5 HW

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0
Ax + By = C
y = 4x + 7
Move the 4x to the other side with a negative sign
-4x + y = 7
We can’t have the coefficient of x be negative, so multiply the whole equation by -1
So, the standard form is 4x - y = -7
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a gas company in massachusetts charges $1.30 for 16.7 ft3 of natural gas. convert this rate to dollars per liter of gas
Katyanochek1 [597]

By using a change of units, we can see that the rate in dollars per liter is:

R = $0.0027 per liter.

<h3>How to convert the rate?</h3>

Here we have a rate in dollars per cubic foot, and we want to rewrite this in dollars per liter. So we just need to apply a change of units.

The original rate is in dollars per square foot, and it is given by:

R = $1.30 for 16.7ft^3

We know that the relation between cubic feet and liters is:

1ft^3 = 28.32 L

Then, if we apply a change of units, we can rewrite the volume as:

16.7ft^3 = 16.7*(28.32) L = 472.9 L

Then the rate is $1.30 per 472.9 L, taking the quotient we get:

R = ($1.30/472.9 L) = $0.0027 per liter.

If you want to learn more about changes of units:

brainly.com/question/9032119

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5 0
2 years ago
Which formula can be used to describe the sequence below? –8, –5, –2, 1, 4, ...
makvit [3.9K]

Answer:

an = -8 +3(n-1)

an = -11 +3n

f(n) = -11 +3n

Step-by-step explanation:

–8, –5, –2, 1, 4, ...

This is an arithmetic sequence.

We are increasing by 3 each time

-8 +3 = -5

-5+3 = -2

-2 +3 = 1

The common difference is 3

The formula for an arithmetic sequence is

an = a1 +d (n-1)

an = -8 +3(n-1)

an = -8 +3n -3

an = -11 +3n

The nth term is -11 +3n

f(n) = -11 +3n

3 0
4 years ago
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A colony of ants has 50,000 members. Sione thinks the colony will grow at a rate of 3.1% each hour. How many ants should he expe
Lubov Fominskaja [6]
3.1% of 50,000 is 1,550 if I were to multiply that by 10 that would equal 15,500 add that to 50,000 it equals 65,500
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3 years ago
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How would the function f(x)=|x^2-x-2|
AleksandrR [38]

Answer:

hello :

Step-by-step explanation:

f(x)=|x²-x-2|

f(x) = x²-x-2  if : x²-x-2 ≥ 0

f(x) = - (x²-x-2)  if : x²-x-2 ≤ 0

x²-x-2 = ( x+1)(x-2)

sign of : x²-x-2 is :

x²-x-2 ≥ 0  : x≤ -1 or x ≥ 2

x²-x-2 ≤ 0 : -1 ≤ x ≤ 2

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please help! at a recent cross country meet, spectators had to pay to get in. it cost $7 for adults and $3 for students. the boo
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Answer:

Step-by-step explanation:

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