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RideAnS [48]
3 years ago
12

The temperature at 1 pm was 88 degrees. By 4 pm, the temperature was 72 degrees. Determine the constant rate of change of the te

mperature.
Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0
The constant change of temperature was dropping by 16 degrees. Make sure to friend me and thank me
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Find the inverse of P(x)=-15x^2+350x-2000 and state it’s domain.
natima [27]

Answer:

The function given is:

P(x) = 15x² + 350x - 2000

or

y = 15x² + 350x - 2000

Interchange x and y:

x = 15y² + 350y - 2000

x = (y√15)² + 2(y√15)(45.19) + (45.19)² - (45.19)² - 2000

x = ( y√15 + 45.19)² - 4042.14

( y√15 + 45.19)² = x + 4042.14

Take square root:

y√15 + 45.19 = (√(x + 4042.14))

y√15 =  (√(x + 4042.14)) - 45.19

y = \sqrt{\frac{x+4042.14}{15}}-11.67

f^{-1}(x) = \sqrt{\frac{x+4042.14}{15}}-11.67

The minimum value of x, for which function is defined and real, is x= -4042.14

Hence, the range of inverse is x ≥ -4042.14

4 0
3 years ago
Solve the linear equation for X: x + 6 = -7
Georgia [21]

Answer:

x= -13

Step-by-step explanation:

x + 6 = -7

Subtract 6 from both sides of the eqaution

x+6 - 6= -7 -6

Simplify

x+6 - 6= -7 -6

x= -7 -6

Subtract the numbers

x= -13

6 0
3 years ago
PLEASE HELP! ASAP!!!!!!!!!!!!!!!!
timurjin [86]

Answer:

Area = 24 in.²

Step-by-step explanation:

Area of the parallelogram = base × height

base = 6 in.

height = h = ?

Use pythagorean theorem to find h

Thus:

h² = 5² + 3²

h² = 25 - 9

h² = 16

h = √16

h = 4 in.

Plug the values into the formula for area of parallelogram

Area = 6 × 4

Area = 24 in.²

7 0
3 years ago
Mr.gardner is contemplating which shuttle service to take to the airport. Fast shuttle charges a $5 pick up fee and 0.25 per mil
Black_prince [1.1K]
Fast shuttle : 5 + 0.25m
steady shuttle : 2 + 0.50m

when will they be equal.....so set them equal and solve for m, the number of miles

5 + 0.25m = 2 + 0.50m
5 - 2 = 0.50m - 0.25m
3 = 0.25m
3 / 0.25 = m
12 = m <=== so they will cost the same at 12 miles
5 0
4 years ago
Please help gotta get this gradae up
aleksklad [387]

Answer:

its Y (bottom left graph)

Step-by-step explanation:

i graphed the function on desmos and matched it

8 0
3 years ago
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