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Sergeu [11.5K]
3 years ago
9

Find x if f(x)=-21: f(x)=2x+9​

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

The answer is -33

Step-by-step explanation:

f(x) = 2x + 9; f(x) = -21

= 2(-21) + 9

= -42 + 9

f(x) = - 33

Thus, The answer is -33

<u>-</u><u>TheUnknownScientist</u><u> 72</u>

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A boat moves 15.0 km across a lake in 30.0 min. what was the average speed of the boat in kilometers per hours?
Katen [24]

To work out the average speed you would have to use the formula

AS = 15.0 ÷ 30.0 = 0.5 which is distance divided by time.

The you would do 0.5 x 60 = 30 (60 minutes = 1 hour)

So the average speed would be 30.0 km/h.

4 0
3 years ago
a sequence has a first term of 2 and a constant ratio of _3/2 what are the first five terms of the sequence
soldi70 [24.7K]
This is a geometric sequence with a=2, r= -3/2.
Therefore,
a₁ = 2
a₂ = 2*(-3/2) = -3
a₃ = 2*(-3/2)² = 9/2 = 4.5
a₄ = 2(-3/2)³ = -27/4 = -6.75
a₅ = 2(-3/2)⁴ = 81/8 = 10.125

Answer:
In fractions, the first five terms are
     2, -3, 9/2, -27/4, 81/8
In decimals, the first five terms are
     2.000, -3.000, 4.500, -6.750, 10.125


5 0
3 years ago
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-
alekssr [168]

Answer:

The current that produces maximum power is 3A

Step-by-step explanation:

Given

P(c) = 20(c - 3)^2

Required [Missing from the question]

The current that produces maximum power

First, we represent the function in standard form

P(c) = 20(c - 3)^2

P(c) = 20(c - 3)(c - 3)

Open bracket

P(c) = 20(c^2 -6c+ 9)

P(c) = 20c^2 -120c+ 180

The maximum value of c is:

Max(c) = \frac{-b}{2a}

Where:

f(x) = ax^2 + b^2 + c

By comparison: P(c) = 20c^2 -120c+ 180

a = 20

b = -120

c = 180

So, we have:

Max(c) = \frac{-b}{2a}

Max(c) = \frac{-(-120)}{2 * 20}

Max(c) = \frac{120}{40}

Max(c) = 3

5 0
3 years ago
If you can drive 340 miles in 5 hours, what is the unit rate? *<br> (2 Points)<br> Enter your answer
Marianna [84]
I believe it would be 68 miles per hour! To find the unit rate here you would divide miles by hours, or 340 by 5, which would give you 68.
3 0
3 years ago
How much acetic acid is in a 5 liter container that is marked 80% acetic acid. How much is water
Vinvika [58]

Answer:

1 liter of water

Step-by-step explanation:

If 80 % is acid that's means 4 liters of the 5 is acid. (0.8 * 5)

The remaining amount is 1

8 0
3 years ago
Read 2 more answers
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