1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sliva [168]
3 years ago
5

During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the

machine recommends that the temperature of the machine part remain below 132 ° F. The temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by T = -0.005x^2 + 0.45x + 125. Will the temperature of the part ever reach or exceed 132 ° F? Use the discriminant of a quadratic equation to decide.
A. no
B. yes
Mathematics
2 answers:
omeli [17]3 years ago
7 0
T = -0.005x^2 + 0.45x + 125

T = 132 => -0.005x^2 + 0.45x + 125 = 132

=> -0.005x^2  + 0.45x +125 -132 = 0

=> -0.005x^2 + 0.45x - 7 = 0

Discriminant: b^2 - 4ac = (0.45)^2 - 4( - 0.005)(-7) = 0.2025 - 0.14 = 0.0625

Discriminant > 0 => the equation has two real and different solutions.

Answer: yes
blsea [12.9K]3 years ago
4 0

Answer: The answer saying YES, is WRONG, the CORRECT ANSWER IS NO.

You might be interested in
Please answerrrrrrrrrr​
Anna11 [10]
The answer is no (all you do it plug in the point that correspond with the x and y, in the equation
5 0
3 years ago
Im thinking its c, not sure
Sladkaya [172]
Its actually C just divide 22 by 4
4 0
3 years ago
plz help me The temperature at noon was 22°. From 6 AM until noon, the temperature changed by an average of 5° per hour. What WA
nevsk [136]

Answer:

-8° OR 52°

Step-by-step explanation:

Remember 22.

Now, you'll need to take 12 PM and see how many hours it is from 6 AM to 12 PM noon: 6-7, 7-8, 8-9, 9-10, 10-11, 11-12. We have 6 hours from 6 AM to 12 PM.

The problem gives us the average number of degrees it changed: 5. Since it doesn't specify HOW it changed, there are 2 answers.

In order to find the number of degrees it changed, we have to take the hours times the amount given, or in this case, 6 x 5 which equals 30.

Now that we know the fluxation number, we can either add or subtract 30 from the degrees given at noon.

So, 22 - 30 = <em>-8</em> AND 22 + 30 = <em>50</em>.

I hope that helps! :)

4 0
2 years ago
During the first stages of an epidemic, the number of sick people increases exponentially with time. Suppose that at = 0 days th
nydimaria [60]
T = days passed

r = rate of growth

by 0 day, or t = 0, there are 2 folks sick,

\bf \qquad \textit{Amount for Exponential Growth}&#10;\\\\&#10;A=P(1 + r)^t\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &2\\&#10;P=\textit{initial amount}\\&#10;r=rate\to r\%\to \frac{r}{100}\\&#10;t=\textit{elapsed time}\to &0\\&#10;\end{cases}&#10;\\\\\\&#10;2=P(1+r)^0\implies 2=P\cdot 1\implies 2=P\qquad \boxed{A=2(1+r)^t}

 by the third day, t = 3, there are 40 folks sick,

\bf \qquad \textit{Amount for Exponential Growth}&#10;\\\\&#10;A=P(1 + r)^t\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &40\\&#10;P=\textit{initial amount}\to &2\\&#10;r=rate\to r\%\to \frac{r}{100}\\&#10;t=\textit{elapsed time}\to &3\\&#10;\end{cases}&#10;\\\\\\&#10;40=2(1+r)^3\implies 20=(1+r)^3\implies \sqrt[3]{20}=1+r&#10;\\\\\\&#10;\sqrt[3]{20}-1=r\implies 1.7\approx r\qquad \boxed{A=2(2.7)^t}

how many folks are there sick by t = 6?   \bf \stackrel{that~many}{A=2(2.7)^6}
8 0
3 years ago
What kind of transformation converts the graph of f(x) = 10x + 71 - 2 into the graph of
Over [174]

Answer:

A transition down six units

Step-by-step explanation:

-2-6=-8

8 0
3 years ago
Other questions:
  • You and three friends earn money by painting houses. You agree to split the profits equally. You buy brushes, tape, and paint fo
    7·1 answer
  • Three consecutive vertices of a parallelogram are points (2, 4), (0, 0), and (6, 0). The fourth vertex is point
    7·1 answer
  • A carpenter is building a rectangular fence for a playground. One side of the playground is the wall of a building 70 ft. wide.
    12·1 answer
  • Please help, I'm at my wits end :(.
    12·1 answer
  • What are chemical bands​
    11·1 answer
  • What is 9/12 + 6/7 ?
    7·2 answers
  • Can someone please help I promise to mark brainlest!!
    11·1 answer
  • The triangle abc has a side lengths ac=13 and the hypotenuse ab=14 whats the angle measurement of a
    6·1 answer
  • Explain your answer !!<br><br> Have a great day <br><br> Will give brainlst
    8·1 answer
  • Can someone pls simplify this<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B105%7D%7B12%7D%20" id="TexFormula1" title=" \fra
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!