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andre [41]
3 years ago
12

The temperature at 6:00 A.M. 58 degrees Fahrenheit. The temperature increased at a constant rate of 3 degrees Fahrenheit every h

our until 10:00 A.M. The equation below models t as a function of h where t is temperature and h is hours. t=58+3h which set represents the range of this function. a.{h:0≤h≤4} b.{h:0≤h≤12} c.{t:58≤t≤70} d.{t:0≤t≤70}
Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Answer: c. (t:58\leq t\leq 70)

Step-by-step explanation:

given data:

T =  58 degree Celsius.

changes in temperature = 3dregres every hour = 4.

solution:

t=58+3h\\where h = 4

substitute the value for h into the equation.

t=58+3(4)\\t=58+12\\t=70

the set with 58\leq t\leq 70  best represents the function range.

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Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Describe th
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The solution to the equations are:

  • 9x² - 36x + 36 = 0 has two equal real solutions
  • x² - x + 4 = 0 has no real solutions
  • The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

9x\² - 36x + 36 = 0

The above equation is a quadratic equation which can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-36)\² - 4 * 9 * 36

d = 0

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

x\² - x + 4 = 0

The above equation can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-1)\² - 4 * 1 * 4

d = -15

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

4x\² + 23 - 35

Evaluate the difference

4x\² -12

Factor out 4

4(x\² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

#SPJ1

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