Answer:
-22°F < x < 266°F.
Step-by-step explanation:
The question states the incorrect formula to convert the Celsius temperature (C) into the Fahrenheit temperature (F). The correct one is given by:
F = 9C/5 + 32.
The given temperature inequality in Celsius is:
-30°C < x < 130°C; where x is any number that satisfies the inequality.
To convert it into Fahrenheit, simply plug in the values in the above formula.
Lower Limit:
F = 9(-30)/5 + 32.
F = -54 + 32.
F = -22°F.
Upper Limit:
F = 9(130)/5 + 32.
F = 234 + 32.
F = 266°F.
Therefore, the inequality will be -22°F < x < 266°F!!!
Answer:
x = all real values
y = all real values
Step-by-step explanation:
The domain is the input values
f(x) = 4x+52 which is a line
The input or x values can be any value so the domain is all real values of x
The range is the output values
f(x) = 4x+52 which is a line
The output or y values can be any value so the domain is all real values of y
Trapezoidal is involving averageing the heights
the 4 intervals are
[0,4] and [4,7.2] and [7.2,8.6] and [8.6,9]
the area of each trapezoid is (v(t1)+v(t2))/2 times width
for the first interval
the average between 0 and 0.4 is 0.2
the width is 4
4(0.2)=0.8
2nd
average between 0.4 and 1 is 0.7
width is 3.2
3.2 times 0.7=2.24
3rd
average betwen 1.0 and 1.5 is 1.25
width is 1.4
1.4 times 1.25=1.75
4th
average betwen 1.5 and 2 is 1.75
width is 0.4
0.4 times 1.74=0.7
add them all up
0.8+2.24+1.75+0.7=5.49
5.49
t=time
v(t)=speed
so the area under the curve is distance
covered 5.49 meters
Answer:
all the households in given state. part 2 is 1565 households surveyed.
Step-by-step explanation:
Answer:
A = 76.85
B =65.28
Step-by-step explanation:
(30/100)A = 10 + (20/100)B
0.3A - 0.2B = 10 ...... equation (i)
(30/100)B + 35 = (20/100)A
0.2A - 0.3B = 35 ........ equation (ii)
From equation (i)
0.3A = 10 - 0.2B
A = (10 - 0.2b) / 0.3
A = 33.33 - 0.67B ........equation (iii)
Put equation (iii) into equation (ii)
0.2(33.33 - 0.67B) - 0.3B = 35
6.67 - 0.134B - 0.3B = 35
0.434B = 35 - 6.67
B = 28.33 / 0.434
B = 65. 275 = 65.28
Put B = 65.28 into equation (i)
0.3A - 0.2B = 10
0.3A - 0.2(65.28) = 10
0.3A - 13.056 = 10
0.3A = 10 + 13.056
A = 23.056/ 0.3
A = 76.85
