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miv72 [106K]
3 years ago
13

Given f(x)=3x+4. Determine the value of x if f(x)=21 to the nearest tenth.

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

5.7

Step-by-step explanation:

3x+4 = 21

3x = 17

x = 5.666667 = 5.7

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Please please help!!
shepuryov [24]

Answer:

\large\boxed{x=0\ and\ x=\pi}

Step-by-step explanation:

\tan^2x\sec^2x+2\sec^2x-\tan^2x=2\\\\\text{Use}\ \tan x=\dfrac{\sin x}{\cos x},\ \sec x=\dfrac{1}{\cos x}:\\\\\left(\dfrac{\sin x}{\cos x}\right)^2\left(\dfrac{1}{\cos x}\right)^2+2\left(\dfrac{1}{\cos x}\right)^2-\left(\dfrac{\sin x}{\cos x}\right)^2=2\\\\\left(\dfrac{\sin^2x}{\cos^2x}\right)\left(\dfrac{1}{\cos^2x}\right)+\dfrac{2}{\cos^2x}-\dfrac{\sin^2x}{\cos^2x}=2

\dfrac{\sin^2x}{(\cos^2x)^2}+\dfrac{2-\sin^2x}{\cos^2x}=2\\\\\text{Use}\ \sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{2-(1-\cos^2x)}{\cos^2x}=2\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{2-1+\cos^2x}{\cos^2x}=2\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{1+\cos^2x}{\cos^2x}=2

\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{(1+\cos^2x)(\cos^2x)}{(\cos^2x)^2}=2\qquad\text{Use the distributive property}\\\\\dfrac{1-\cos^2x+\cos^2x+\cos^4x}{\cos^4x}=2\\\\\dfrac{1+\cos^4x}{\cos^4x}=2\qquad\text{multiply both sides by}\ \cos^4x\neq0\\\\1+\cos^4x=2\cos^4x\qquad\text{subtract}\ \cos^4x\ \text{from both sides}\\\\1=\cos^4x\iff \cos x=\pm\sqrt1\to\cos x=\pm1\\\\ x=k\pi\ for\ k\in\mathbb{Z}\\\\\text{On the interval}\ 0\leq x

4 0
2 years ago
The Penn's Landing Ferry sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 28 econ
kenny6666 [7]
The maximum profit for 1 tour would be $2650

if there are 90 seats and 10 deluxe seats must be sold, you have to multiply 10 times 25 which gives you 250.

if there are 90 seats, 10 must be deluxe (which is cheaper), and you are trying to find the max profit for 1 tour, then 80 of the seats must be economy seats. 
to find out how much 80 economy seats would cost you need to multiply 80 times 30 which gives you 2400.

then you need to add the profit of 80 economy seats and 10 deluxe seats and that would give you $2650

and $2650 would be the max profit you could make for 1 tour.
6 0
3 years ago
Micheal has 5x as much money minus 25 as mia. togther they have 79.
klemol [59]

Answer:

10

Step-by-step explanation:

5 10 / 15 20 15.......

4 0
3 years ago
Help me i need help with my homework also i took a picture of my homerwork pls help
ICE Princess25 [194]

Answer:

123

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Lol again another math solver help pls! LOL
gladu [14]

Answer:

b = 4

Step-by-step explanation:

5-1=5b-4b

4=b

4 0
2 years ago
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