What’s your favorite Christmas song? Or favorite Christmas tradition?

Answer:

a) tan x = 1

b) tany = 4 + tanx /2tanx - 3

Step-by-step explanation:

a) Given the equation

2(sinx + 2cosx) = sinx +5cosx

Open the bracket

2sinx + 4cosx =  sinx +5cosx

Collect like terms

2sinx - sinx = 5cosx - 4cosx

sinx = cos x

Divide both sides by cos x

sinx/cosx = cosx/cosx

tanx = 1

Hence the value of tan x is 1

b) Given the expression

sinxcosy + 3cosxsiny = 2sinxsiny - 4cosxcosy

We are to express tany in terms of tan x

Divide through by cosx cosy

sinxcosy/cosx cosy + 3cosxsiny/cosx cosy = 2sinxsiny/cosx cosy - 4cosxcosy/cosx cosy

sinx/cosx + 3siny/cosy = 2tanxtany - 4

tanx +3tany =  2tanxtany - 4

Collect like terms

tanx - 2tanxtany = -4 - 3tany

- 2tanxtany+3tany = -4 - tanx

tany (-2tanx+3) = -4 - tanx

tan y = -4 - tanx/-2tanx+3

tan y = -(4+tanx)/-(2tanx-3)

tany = 4 + tanx /2tanx - 3

Hence the function of tany in term of tan x is tany = 4 + tanx /2tanx - 3

Answer:

Probably B

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

.6 * 55 = 33

Answer:

$33

Step-by-step explanation:

Cross multiply 60/100=x/55

=>60(55)=100x

=>3300=100x

divide both sides by 100 to get x by itself=> 33=x

Answer:

84

Step-by-step explanation:

68 + 100 = 168

168/2 = 84

Answer: Kia

Step-by-step explanation:

Answer:

It will be 57 points.

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

just add a few points

Answer:

$1551 needed to cover the costs and 141 shirts will be sold.

Step-by-step explanation:

If a shirt costs $10 and the council is selling the shirt for $1 more ($11), after selling 141 shirts, they would have made a profit of $1*141=$141. Since there is also a setup fee of $141, the profit would actually be $0. This is when the costs are covered.

C = 10s + 141 (C is cost and s in no. of shirts sold)

s = 141

C = 141*10 + 141 = 1551

Hope this helps!

Answer:

ab+bc+ca=0

Step-by-step explanation:

We are given:

[tex]x^a=y^b=z^c[/tex]

xyz=1

Separating equations:

[tex]x^a=z^c[/tex]

[tex]y^b=z^c[/tex]

Solving the first equation for x:

[tex]\displaystyle x=z^\frac{c}{a}[/tex]

Solving the second equation for y:

[tex]\displaystyle y=z^\frac{c}{b}[/tex]

Substituting in

xyz=1:

[tex]\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1[/tex]

Adding the exponents:

[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1[/tex]

Since [tex]1=z^0[/tex]:

[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0[/tex]

The base is z on both sides so we get rid of them:

[tex]\displaystyle \frac{c}{a}+\frac{c}{b}+1=0[/tex]

Multiplying by ab:

bc+ac+ab=0

Reordering:

ab+bc+ca=0

Answer:

f(-2) = 7

Step-by-step explanation:

-2 squared would be a positive 4 then add 3

Answer:

f(-2) = 7

Step-by-step explanation:

becuase yes

Answer:

21w+3

Step-by-step explanation:

1) 9w+5+5w+7w-2

2) 9+5+7=21.

3) 5-2=3

Answer:

Step-by-step explanation:

The nth term of an exponential sequence is expressed as ar^n-1

The nth term of a linear sequence is expressed as Tn = a + (n-1)d

a is the first term

r is the common ratio

d is the common difference

n is the number of terms

Let the three consecutive terms  of an exponential sequence be a/r, a and ar

second term of a linear sequence = a +d

third term of a linear sequence = a + 2d

sixth term of a linear sequence = a + 5d

Now if the three consecutive terms  of an exponential sequence are  the second third and sixth terms  of a linear sequence, this is expressed as;

a/r = a + d ..... 1

a = a + 2d ..... 2

ar = a+ 5d .... 3

From 2: a = a + 2d

a-a= 2d

0 = 2d

d = 0/2

d = 0

Substitute d = 0 into equation 1:

From 1: a/r = a + d

a/r = a+0

a/r = a

Cross multiply

a = ar

a/a = r

1 = r

Rearrange

r = 1

Hence the common ratio of the exponential sequence is 1

Answer:

6 units :)

Step-by-step explanation:

Answer:the number is 8

Step-by-step explanation:

Step 1

Let x be the number  13 was subtracted from so  that the difference becomes x-13

i.  dividing  the resulting difference by 5, then  (x-13)/5

ii.  Multiplying  the quotient by 7 makes  the expression become (x-13)/5 x 7

 with the product coming  to -7  we have our final equation as

(x-13)/5 x 7 = -7

Step 2 -----solving  the equation

(x-13)/5 x 7 = -7

Ist  divide  both sides by 7,

(x-13)/5 =-1

cross multiplying gives

x-13=-5

x= -5+ 13

x=8

the number is 8

Answer:

bruh im learning this right now, im pretty sure its ASA

Answer:

6.75

Step-by-step explanation:

Find the mean of the set {2,5,5,6,8,8,9,11} .

There are 8 numbers in the set. Add them all, and then divide by 8 .

2 + 5 + 5 + 6 + 8 + 8 + 9 + 118=548=6.75

Answer:

210

14x15=210

Step-by-step explanation:

14x15 =210

Answer: There is a strong positive correlation between Yumiko's exercise time and how far she runs.

Step-by-step explanation:

The correlation Coefficient value measures the relationship between two variables in other it determine the strength of association between them. The Coefficient could take any value between - 1 to + 1 with negative r values depiction negative relationships while positive values means positive relationship. The closer the r value is to either 1 or - 1, the stronger the relationship between hen m

Answer:

Triangle C is

Step-by-step explanation:

can i get brainliest answer pleaseeee

Answer:

the y intercept is 3 and you go up 1 over 3 from the y intercept

Step-by-step explanation:

the y intercept is 3 and you go up 1 over 3 from the y intercept

Answer:

101.5

Step-by-step explanation:

Answer:

He needs to cut 20.

Step-by-step explanation:

Answer:

A general lineal equation is written as:

y = a*x +b

Where a is the slope (also called the rate of change) and b is the y-intercept-

For a line that passes through the points (x1, y1) and (x2, y2)

The slope will be:

a = (y2 - y1)/(x2 - x1)

For the line:

Y= (8/5)*x+ 3/5

The slope, or rate of change, is 8/5.

Then we want to find two points (x1, y1) and (x2, y2) such that the slope generated by them is larger to 8/5.

There are a lot of ways to finding these points, a simple way is:

We could define (x1, y1) = (0, 0)

And (x2, y2) = (5, 9)

Then the rate of change of the line that passes through these two points will be

a = (9 - 0)/(5 - 0) = 9/5

Which is larger than 8/5, as we wanted.

The proportionality is 0.45, then the equation is C = 0.45 n. The number of peppers you buy for $20 will be 44.44. Then the table is completed below.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Let 'C' be the cost and 'n' be the number of peppers. Then the proportionality is given as,

C ∝ kn

At n = 5, the cost C = 2.25, then we have

2.25 = k (5)

k = 2.25 / 5

k = 0.45

Then the equation is given as,

C = 0.45 n

The number of peppers you buy for $20 will be given as,

20 = 0.45 n

n = 44.44

Then the table is completed below.

Number of peppers             Cost

              1                              $0.45

             2                              $0.90

             3                              $1.35

             4                              $1.80

             5                              $2.25

            10                              $4.50

            15                              $6.75

           20                              $9

          100                              $45

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Answer:

Step-by-step explanation:

we can take any value as its two variable equation.

(-3,0)  (0,9)   (-2,3)

put these numbers on a graph

I hope this helps

Answer:

Step-by-step explanation:

f(x) = 3x + 1  ⇒  f(2) = 3×2 + 1 = 6 + 1 = 7

Answer:

1 g-h

2 g^2-h

3 gh

4 g+h

5 h-g

6 g+h^2

Step-by-step explanation: