The function y = -3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1. The function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1. After how many days is the average number of cats and dogs at the shelter the same? A. 5 days
B. 7 days
C. 35 days
D. 49 days

A. 5 days

Step-by-step explanation:

Average number of dogs at an animal shelter: y = -3x + 42

Average number of cats at the animal shelter: y = 4x + 7

Where,

x = number of days after July 1

After how many days is the average number of cats and dogs at the shelter the same?

Equate both functions

-3x + 42 = 4x + 7

-3x - 4x = 7 - 42

-7x = -35

Divide both sides by -7

x = -35 / -7

= 5

x = 5 days

The correct answer is A. 5 days

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: