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lubasha [3.4K]
3 years ago
6

At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius

per hour.
Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.
Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:

t > 4.5

Step-by-step explanation:

T = 5 - 2t

is the equation for the temperature after midnight.

-4 = 5 - 2t  is the point of interest

-9 = -2t

t = 4.5 hrs  so 4:30 is the time the temperature reaches -4

t > 4.5 hrs covers all the time that the temperature is less than -4

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3 0
2 years ago
Read 2 more answers
PLEASE!! I NEED HELP
elixir [45]

Answer:

Option A, \frac{1}{7}

Step-by-step explanation:

<u>Step 1:  Determine the numbers that are multiples of 3</u>

8 → Not a multiple of 3

9 → Multiple of 3

14 → Not a multiple of 3

19 → Not a multiple of 3

25 → Not a multiple of 3

34 → Not a multiple of 3

38 → Not a multiple of 3

<u>Step 2:  Determine the probability of chosing a multiple of 3</u>

Since we only have 1 number that is a multiple of 3 out of the 7 given numbers, that means that we do the following:  

\frac{(1\ multiple\ of\ 3)}{7\ total\ numbers}

\frac{1}{7}

Answer: Option A, \frac{1}{7}

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2 years ago
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8 0
3 years ago
Given that g(x)=3x²-5x+7 find the following: <br> g(-x)
AURORKA [14]
G(x) = 3x² - 5x + 7
g(-x) = -(3x² - 5x + 7)
g(-x) = -3x² + 5x - 7

This equation cannot be solved because of a few reasons,

1. This equation didn't show that it equals to 0.
2. Even if it equals to zero, square root of a negative number cannot be solved.
(I will show you what I mean)

-3x² + 5x - 7
is the same as
3x² - 5x + 7
by shifting the equation,

for example,
1 - 3 = -2
shifting other side
2 = -1 + 3

using 3x² - 5x + 7 to solve,

Solve\ using\ the\ formular\ \ \boxed{ x= { \frac{-b \pm \sqrt{b^2-4ac} }{2a} } }
a = 3
b = -5
c = 7
x= { \frac {-(-5) \pm \sqrt{ (-5)^2-4(3)(7) } }{2(3)} }
x= { \frac {5 \pm \sqrt{-59} }{6} }

∴This equation cannot be solved.
5 0
3 years ago
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