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Gwar [14]
3 years ago
11

9x+16 3 <7 solve each inequality

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Step-by-step explanation:

9+16×+3

28×<7

35x it's answer can I help

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How do I simplify (tanx/1+secx) + (1+secx/tanx)
Ket [755]
Tan x /(1 +sec x) + (1+sec x) /tan x

Tan x=sin x / cos x
1+ sec x=1 +1/cos x=(cos x+1)/cos x

Therefore:
tan x /(1 +sec x) =(sin x/cos x)/(cos x+1)/cos x=
=(sin x * cos x) / [cos x* (cos x+1)]=sin x /(Cos x+1)

(1+sec x) /tan x=[(cos x+1)/cos x] / (sin x/cos x)=
=[cos x(cos x+1)]/(sin x *cos x)=(cos x+1)/sin x

tan x /(1 +sec x) + (1+sec x) /tan x=
=sin x /(Cos x+1) + (cos x+1)/sin x=
=(sin²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=

Remember: sin²x+cos²x=1⇒ sin²x=1-cos²x

=(1-cos²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=
=2 cos x+2 /  [sin x(cos x+1)]=
=2(cos x+1) /  [sin x(cos x+1)]=
=2 /sin x

Answer : tan x /(1 +sec x) + (1+sec x) /tan x= 2/sin x
8 0
3 years ago
Caitlin has a $10 gift certificate to the music store. she has chosen a number of cd's from the $7 bargain bin. if the cost of t
Tcecarenko [31]
She bought x number of $7 cd and used and $10 gift card so
7x-10=32
7x=42
x=6 cds
5 0
3 years ago
Read 2 more answers
Help help ASAP! Can someone help me with the answer!
Monica [59]

Answer:

-2x - 8

Step-by-step explanation:

Combine like terms

-5x - 7x = -2

Therfore you have

-2x - 8

5 0
3 years ago
Step 3a: Calculating the average rate
Alex73 [517]

9514 1404 393

Answer:

  a) average rate = (total distance)/(total time)

  b) Rave = 2·R1·R2/(R1 +R2)

  c) cheetah's average rate ≈ 50.91 mph

Step-by-step explanation:

a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...

  First leg distance: AB = 70·t1   ⇒   t1 = AB/70

  Second leg distance: AB = 40·t2   ⇒   t2 = AB/40

The average rate is the ratio of total distance to total time:

  average rate = (AB +AB)/(t1 +t2)

  average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)

  average rate = 560/11 = 50 10/11 . . . mph

__

No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.

b) For two rates over the same distance (as above), the average is their harmonic mean:

  average rate = 2r1·r2/(r1+r2)

__

c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.

4 0
3 years ago
How many ways can five cards be selected from a standard deck of 52 cards?​
elena55 [62]

Step-by-step explanation:

If the order of the cards doesn't matter:

₅₂C₅ = 52! / (5! (52−5)!)

₅₂C₅ = 2,598,960

If the order of the cards does matter:

52 × 51 × 50 × 49 × 48 = 311,875,200

6 0
3 years ago
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