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Natali5045456 [20]
3 years ago
5

Can someone help me with this question?

Mathematics
1 answer:
stiks02 [169]3 years ago
7 0

5x−2(x+1)=14 ​

distribute

5x -2x-2 =14

3x-2 = 14

add 2 to each side

3x = 16

divide by 3

x=16/3

Answer x=16/3 or 5 1/3

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Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x < 360°?
Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

cos (x/2)[2 cos (x/2)-1]=0

cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

n=0,1,2,...

x=120,300,840,1020,...

only 120° and 300° ∈[0,360°]

Hence x=120°,180°,300°

7 0
2 years ago
Tricia is going to write Patterns A, B, and C using the rule add 15. The first
8_murik_8 [283]

Answer:

The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".

Step-by-step explanation:

In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.

In Pattern A.  

5+20+35+50+......

In Pattern B.

10+25+40+55+70+.....

In Pattern C.

15+30+45+60....

In this, pattern option B is correct because it will give 40.

5 0
3 years ago
A bookshelf is 42 inches long. How many books of length 1\frac{1}{2}1 2 1 ​ inches will fit on the bookshelf? Explain your reaso
Blababa [14]

Answer: See explanation

Step-by-step explanation:

Your question isn't well written but I saw an identical question:

A bookshelf is 42 inches long. Each book is 1 1/4 inches wide. How many books will fit on the shelf?

For us to solve this, we would divide the length of the bookshelf by the width of each book. This would be:

= 42 ÷ 1 1/4

= 42 ÷ 5/4

= 42 × 4/5

= 33 3/5

Therefore, the number of books that will fit on the shelf is 33.

7 0
2 years ago
What is the answer in fraction form: 2(1/3+1/4)
algol13

Answer:

7/6 or 1*1/6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How would I do this with working ?
san4es73 [151]

You Just want to get Fahrenheit alone on one side of the equal sign. Your  teacher forgot to use parenthesis. The correct equation for Celsius to Fahrenheit is: C= \frac{5}{9} (F-32)

Which will give you a completely different answer.... F = \frac{9}{5} C + 32

****

We will solve it using what is given:

C = (5/9)F - 32

C + 32 = (5/9)F

9(C + 32) = 5F

(9/5)(C + 32) = F

** If they mark you wrong, and try to say the answer is F = (9/5)C + 32 then they shouldn't be teaching math, and you should point out the fact there are no parenthesis around the F - 32 in the given formula.  

5 0
3 years ago
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