Factor the algebraic expression below in terms of a single trigonometric function. cos x - sin^2 x - 1


please help me, ive been struggling so hard. make it easy to follow along? i found it answered on here but it confused me. idk

Answer: 72

Step-by-step explanation: Simple, how many seconds are in a minute? 60. How do you get from 10 to 60? Multiply by 6. Then you take the beats every 10 seconds (12) and multiply by 6 (What it took to get from 10 to 60) to get 72.

Answer:

x=3

Step-by-step explanation:

we move the 1 to the other side so

it goes from -1 to a positive 1 then add it to the 14 then you will have

5x=15

to remove the x divided 5 on both sides and you get x=3

The equivalent value of the equation is x = 3

Given data ,

Let the equation be represented as A

Now , the value of A is

5x - 1 = 14​

So , the left hand side of the equation is equated to the right hand side by the value of ( 14 )

On simplifying the expression , we get

5x - 1 = 14​

Combining the like terms in the expression , we get

Adding 1 on both sides , we get

5x = 15

Divide by 5 on both sides , we get

x = 15/5

x = 3

Therefore , the value of x = 3

Hence , the expression is x = 3

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Answer:

1.22

its obvious, lets say 100% of 1 is 1. 22% of 1 is 0.22. 1+0.22=1.22

The percent 122% as a decimal will be 1.22.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

The expression is given below.

⇒ 122%

Then the percent 122% as a decimal will be

⇒ 122 / 100

⇒ 1.22

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Answer:

The number is -9.

Step-by-step explanation:

I set it up like this:

(-8) - 3x = 19

Then you add 8 to both sides of the equation in order to get rid of the negative 8.

(-8) + 8 - 3x = 19 + 8

After solving you would end up with this:

- 3x = 27

Then, you need to get the x by itself, so you divide by -3. In order to keep the equation equal though, you need to also divide the right side of the equation by -3.

- 3x ÷ -3 = 27 ÷ -3

Your final answer after solving would be:

x = -9

871 miles ........... 13 hours

469 miles ............x hours

x = 469×13/871 = 7 hours

Answer:

10 on top the rectangle and 4 on the left thats the answer ,   the girl who commented helped me out alot all i did was divide 3 times 30 and 3 times 12

Step-by-step explanation:

Answer:

10 on the top of the square and 4 on the side

Step-by-step explanation:

Answer:

A. y = [tex]-\frac{2}{3}[/tex] x + 12

Step-by-step explanation:

Given the two points:

A = (x1, y1) =  (6, 8)

B = (x2, y2) = (9. 6)

From the photo, we can see that the line of fest fit is a straight line (linear) that go through the two points above.

We have the standard form of a linear equation is:

where m is the slope and b is the y-intercept

To find the slope, we use the following formula:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

<=> m = [tex]\frac{6-8}{9-6}[/tex] = [tex]-\frac{2}{3}[/tex]

Substitute m into the standard equation, we have:

Because the line go through point A, so we substitute A into (1), we have:

8 = [tex]-\frac{2}{3}[/tex] *6 + b

<=> b = 12

So our equation is: y = [tex]-\frac{2}{3}[/tex] x + 12

Answer: y=-2/3x+12

Step-by-step explanation:

Answer:

Factorization of [tex]P(x)=(x+2)(2x+1)(3x-1)[/tex]

Step-by-step explanation:

Given:

The given polynomial is [tex]P(x)=6x^3+13x^2+x-2[/tex]

Also, [tex]P(-2)=0[/tex]

Since, for [tex]x=-2[/tex], [tex]P(x)[/tex] is 0, therefore, [tex]x+2[/tex] is a factor of the polynomial.

Now, let us divide the given polynomial by [tex]x+2[/tex] using long division method. Therefore,

[tex]\frac{6x^3+13x^2+x-2}{x+2}=6x^2+x-1[/tex]

The process of long division is shown below.

Now, factoring the quotient [tex]6x^2+x-1[/tex], we get

[tex]6x^2+x-1=6x^2+3x-2x-1=3x(2x+1)-1(2x+1)=(3x-1)(2x+1)[/tex]

Therefore, the factors of polynomial [tex]P(x)[/tex] are [tex](x+2),(2x+1),\ and\ (3x-1)[/tex]

Hence, the factorization of [tex]P(x)[/tex] is:

[tex]P(x)=(x+2)(2x+1)(3x-1)[/tex]

Answer:

The slope is 3.

Step-by-step explanation:

y=-1+3x

y=3x-1

y=mx+b where m=slope and b=y-intercept

Answer:

$2.50

Step-by-step explanation:

Let the original monthly expenses be 'x'.

Given:

Reduced monthly expenses = $2.125

Reduction in monthly expenses = 15%

Therefore, remaining percentage of monthly expenses = 100 - 15 = 85%

Now, as per question:

[tex]85\%\ of\ x=2.125\\\frac{85}{100}\times x=2.125\\0.85x=2.125\\x=\frac{2.125}{0.85}=\$2.50[/tex]

Therefore, the original monthly expenses of Mr. Wood was $2.50.

Also, we can find his monthly income using the value of 'x'.

As per question, his monthly expenses is 80% of his income.

So, 80% of income = 2.5

Income = [tex]\frac{2.5}{0.80}=\$3.125[/tex]

So, his monthly income is $ 3.125

Answer:

x=8

Step-by-step explanation:

5(x/2+3)=35

x/2+3=35/5

x/2+3=7

x/2=7-3

x/2=4

x=4*2

x=8

Answer:

x=8

Step-by-step explanation:

Divide both sides of the equation by 5 to get (x/2) + 3 = 7, then subtract 3 from each side to get x/2 = 4; finally multiply both sides by 2 to get x = 8

Answer:

I think it is option C :>

Answer:

Step-by-step explanation:

The square has 100 smaller parts.

92 of them are shaded, that means 92% of the square is shaded.

Step-by-step explanation:

Answer:

2/6

Step-by-step explanation:

Answer:

see the explanation

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

step 1

Find the measure of angle BDA

we know that

Triangle ABD is an isosceles triangle

AB=AD ---> given problem

so

m∠ABD=m∠BDA

therefore

m∠BDA=72°

step 2

Find the measure of angle BAD

Remember that the sum of the interior angle in a triangle must be equal to 180 degrees

In the triangle BDA

m∠ABD+m∠BDA+m∠BAD=180°

substitute the given values

72°+72°+m∠BAD=180°

144°+m∠BAD=180°

m∠BAD=180°-144°=36°

step 3

Find the measure of angle BCA

In the triangle ABC

m∠BCA=m∠BAC

we have that

m∠BAC=m∠BAD=36°

therefore

m∠BCA=36°

step 4

Find the measure of angle ABC

In the triangle ABC

m∠BAC+m∠BCA+m∠ABC=180°

substitute the given values

36°+36°+m∠ABC=180°

72°+m∠ABC=180°

m∠ABC=180°-72°=108°

step 5

Find the measure of angle DBC

we know that

m∠DBC+m∠ABD=m∠ABC ----> by addition angle postulate

substitute the given values

m∠DBC+72°=108°

m∠DBC=108°-72°=36°

step 6

Find the measure of angle BDC

we know that

m∠BDC+m∠ADB=180° ----> by supplementary angles

substitute the given value

m∠BDC+72°=180°

m∠BDC=180°-72°=108°

step 7

In the triangle DBC we have

m∠DBC=36°

m∠BCD=m∠BCA=36°

so

The triangle BCD has two equal angles

therefore

Triangle BCD is an isosceles triangle

and

BD=BC

The solution is 16.5 cups

The number of cups of flour for 22 small pizzas is 16.5 cups and Bill does not have enough flour for the party

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of cups of flour required be = A

Now , the equation will be

The number of pizza's Bill has for the party = 22 pizzas

The number of cups of flour Bill has = 16 cups

The number of cups of flour required for 1 pizza = 3/4 cups of flour

So , The total number of cups of flour for 22 pizzas = 22 x number of cups of flour required for 1 pizza

Substituting the values in the equation , we get

The total number of cups of flour for 22 pizzas = 22 x ( 3/4 )

The total number of cups of flour for 22 pizzas = 16.5 cups of flour

So , the number of cups of flour required > number of cups of flour Bill has

Therefore , the value of A is 16.5 cups

Hence , Bill does not have enough flour for the party

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Answer:

(a) y = -2 x -2

(b)  y = -2 x + 1

(c)  y = -2 x + 3

Step-by-step explanation:

The given lines r , s and t are parallel.

⇒ Slope of line r = Slope of line s = Slope of line t = (-2)

The point slope equation for any line is given as

y = m x + C : m = slope pf line, C is y - intercept.

Y intercept is a point on line when x = 0.

Now for the line r, slope = (-2) and y intercept = (-2)

So, the equation is given as y = -2x -2

Now for the line s, slope = (-2) and y intercept = (1)

So, the equation is given as y = -2 x + 1

Now for the line t, slope = (-2) and y intercept = (3)

So, the equation is given as y = -2 x + 3

Answer:

13 grls in ur class

Step-by-step explanation:

15*115%=17

17-15=2

25-2=13

Hope tht this helps :)

a)The proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15.

b)The value of x obtained after solving the proportion is 13.043.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that there are 15 girls in your class this year and there is a 15% increment from last year.

Suppose x is the number of girls in the class last year,

⇒15 = 15 % of x + x

⇒(15-x)/x = 0.15

Solving the above equation for finding the value of x,

15 - x = 0.15 x

15 = 0.15 x + x

15 = 1.15 x

x =15 / 1.15

x=13.043

Thus, the proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15, and the value of x obtained after solving the proportion is 13.043.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ5

conservation imporoper fraction to mixed number answer

Answer:

The required cards can be -6 and -6.

Step-by-step explanation:

Consider the provided integer -12.

We need to find the two cards whose sum is -12.

There are lots of choices for the two cards whose sum is -12.

Few choices are:

If we first card is -6 and the second card is also -6 then the sum will be -12:

[tex]-6-6=-12[/tex]

If we first card is -4 and the second card is -8 then the sum will be -12:

[tex]-4-8=-12[/tex]

If we first card is -10 and the second card is -2 then the sum will be -12:

[tex]-10-2=-12[/tex]

Thus, the required cards can be -6 and -6.

Answer:

35

Step-by-step explanation:

86-65=21$ (initial fee diffrence)

21/0.6= 35

for 35 m company B charge less than A unless if renter want to drive further 35m so company A present a better offer.

Answer:

Slope=9, y-intercept= 39

Step-by-step explanation:

The equation is already in y=mx+b form, where m is the slope and b is the y-intercept

(rearrange positions of 9m and 39 to get t=9m + 39)

So, the slope is 9 and the y-intercept is 39

Answer:

There are 24 math instructors and 33 english instructors.

Step-by-step explanation:

Let x be the number of math instructors and y be the english instructors. Since the college has 9 more English instructors than math instructors, set up the equation like this: x+(x+9)=57 where x+y=57, you can see that y=x+9.

Now, it's time to solve for x and y.

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33

Answer:

24 math instructors & 33 english instructors

Step-by-step explanation:

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33

Answer:

13/6

Step-by-step explanation:

it can also be written as a fraction

Answer:

k = $41.44/7 bags = $5.92/bag

The cost of one bag of apples is 5.92 dollars.

To find the cost of one bag of apples, we can divide the total cost by the number of bags.

Given the equation [tex]\(41.44 = 7k\)[/tex], where [tex]\(k\)[/tex] represents the cost of one bag, we can solve for [tex]\(k\)[/tex] by dividing both sides of the equation by 7:

[tex]\[ k = \frac{41.44}{7} \][/tex]

Calculating:

[tex]\[ k = \frac{41.44}{7} = 5.92 \][/tex]

Answer:

Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by - 3.

Step-by-step explanation:

We are going to solve an equation of inequality of single variable x.

We will start with, -3x + 5 > 20

⇒ -3x + 5 - 5 > 20 - 5

⇒ - 3x > 15

⇒ [tex]\frac{-3x}{-3} < \frac{15}{-3}[/tex]

⇒ x < - 5

Therefore, while dividing both side terms by -3, the inequality sign will change from > to < sign.

So, Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by a negative number. (Answer)

Answer:

Split the coins into three groups, A, B and C consisting of 3 coins in each group.

Weigh: A--B

1. If A=B, the the counterfeit is in group C

Weigh any two coins in group C and figure out the rest.

2. If A≠B, then the counterfeit is in the lighter group.

Weigh any two coins in the lighter group and figure out the rest.

Steven can find the counterfeit coin in just two weighings by dividing the 9 coins into 3 groups and using the balance scale.

Steven can find the counterfeit coin in two weighing by following these steps:

By dividing the coins into three groups, Steven eliminates two-thirds of the coins after the first weighing and then narrows it down to just two coins in the second weighing.

https://brainly.com/question/32901310

#SPJ2

The answer would be 20.125 or 161/8, because to divide numbers, it is like the fraction 644/32. For example, if you have 644 mcord.weebly.com sites or bananas and you need to equally divide them into 34 groups, their would be 20.125 mcord.weebly.com sites or bananas in each group.

Answer:

$36.45

Step-by-step explanation:

81 - 55%

Convert percentage to decimals

55% = 0.55

81 - 55%

= 81 - 0.55(81)    <= 81 reduced by 55% of 81

= 81 - 44.55   <= simplify and solve

= 36.45