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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.

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Anyone wanna help with this
Marina86 [1]
3) adjacent
x = 180 - 34 = 146

4)adjacent

x = 90 - 74 = 16

6)supplementary

2x + 5 + 75 = 180

2x + 80 = 180
2x = 100
x = 50



6 0
3 years ago
Solve x+12/x+4=×/x+8
Morgarella [4.7K]
Cross multiply...
Thus,
x(x+4)=(x+12)(x+8)
expand...
x^2+4x=x^2+8x+12x+96
Simply both sides of the equation.
x^2+4x=x^2+20x+96
simply further by adding ask like terms...
-16x=96
Solve for x by making x the subject.
therefore
x=-6.
3 0
3 years ago
Victor spend a total of 33 picture and text messages which cost 8.30.if text message rate is .18 per message and the picture mes
malfutka [58]
Ok so

t=number of text messsages
p=number of picture messages

total number is 33
t+p=33

if text is 0.18 per pic and picture is 0.45 per text
total cost is 8.3
0.18t+0.45p=8.3
times 100 both sides for ease
18t+45p=830



we now have 2 equations
t+p=33
18t+45p=830

multiply first equation by -18 and add to second equation

18t+45p=830
<span>-18t-18p=-594 +</span>
0t+27p=236

27p=236
divide both sides by 27
p=8.740740740740744
this is impossible becasue you can't send 0.740740740740744 of a message so you did a mistype somewhere
7 0
3 years ago
A seafood company sells salmon and shrimp to local restaurants. The company charges its customers for one price for salmon and a
Romashka [77]

Answer:

salmon per pound is $16.68

shrimp per pound is $6.71

Step-by-step explanation:

166.63/10=16.68

16.68*5=83.04

143.86 -83.04=60.46

60.46/9 = 6.71

3 0
3 years ago
(50×2) +(15+2) in word form
Illusion [34]
Fifty times two plus fifteen plus two
7 0
3 years ago
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