Simplify the following to an expression involving a single
trig function with no fractions.

Answer:

Answer:

[tex]a_{n}[/tex] = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

Thus the formula representing the sequence is

[tex]a_{n}[/tex] = 6n - 4

Answer:

Step-by-step explanation:

a

The square root of 20 = 4.47 so a for sure.

But the root of 20 is also -4.48 so that means that 2 and 3 are added to the list

Now what to do about - 8

(- 8)^2 = 64

The square root of 64 = +/- 8

It's kind of slippery but it depends on how you see the problem. It is a bit ambiguous.

I would eliminate - 8 but your instructor may not. Argue that it should not be included, but don't take the argument on forever. Let it go.

a for sure.

b and c I think so.

-8 is iffy.

Answer a

Answer:

a.6

Step-by-step explanation:

Answer:

Jesse will have $120.

Step-by-step explanation:

First you need to set up your equation. We know Jesse has $60 already and that he charges $15 per lawn. Your equation will look something like this:

15x+60=?

Then you plug in the 4 lawns he did:

15(4)+60=

Then you solve and get 120! :)

PS Parenthesis mean you are multiplying. Same thing as saying

15 x 4 + 60= 120

Answer:

Below in bold.

Step-by-step explanation:

f(x) = -x^2 + 10x - 17

Convert to vertex form by:

f(x) = -(x^2 - 10x) - 17

= - [(x - 5)^2 - 25] - 17

= -(x - 5)^2 + 25 - 17

=  -(x - 5)^2 + 8,

a. So axis of symmetry is x = 5.

b. Vertex is (5, 8) Max.

c.   Domain is All real x.

d. Range is (-∞, 8].

Answer:

I think that the answer is C) or the last one

I think it's the second one

Answer:

C

Step-by-step explanation:

Both AB and AC have the length of 8, meaning that they're congruent.

This means that we have an isosceles triangle.

Angle B and Angle C are equal and all angles in a triangles add up to 180 degrees so:

30 + 30 = 60

180 - 60 = 120

So C would be your answer.

Please let me know if I'm incorrect :)

Answer:

120°

Step-by-step explanation:

This is an Isosceles triangle and that means angle C = angle B

Since the sum of interior angles in a triangle is equal to 180° the measure of angle A is = 120°

Answer:

3 x3 x 3 x 5

Step-by-step explanation:

Answer:

135 is a composite number.

135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.

Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

according to what is given:

K = 0

N = 3

I = -2

so just substitute in these values into the given equations and solve

KN + IK

0 * 3 + -2 * 0

= 0 + 0

= 0

[tex] - 9 {x}^{2} + 3x = 0 [/tex]

[tex]3x( - 3x + 1) = 0[/tex]

[tex]3 x = 0 \\ x = 0[/tex]

And

[tex] - 3x + 1 = 0 \\ - 3x = - 1 \\ x = \frac{ - 1}{ - 3} \\ x = \frac{1}{3} [/tex]

So the x-intercepts are :

[tex]x = 0 \: \: \: \: \: and \: \: \: \: \: x = \frac{1}{3} \\ [/tex]

Answer:

Step-by-step explanation:

Option B is the correct answer

Answer:

Step-by-step explanation: You must multuply the number of tacos by the money for all of them then you compare them and see if the see if they payed the same rate!P.S i'm in class too!!

Answer: They did not pay the same rate

Step-by-step explanation:

If they were to pay the same price the unit rate would be 1.25 but instead Ryan paid 1.25 for each taco and Maria paid 1.6 for each taco, which means they did not pay the same rate.

Point :

A × B = B × A

Ex)

[tex] \frac{1}{2} \times \frac{3}{4} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{2} \times \frac{1}{4} [/tex]

_________________________________

a )

[tex] \frac{12 {a}^{2} }{25 {b}^{3} } \times \frac{5b}{4 {a}^{4} } = \frac{12 {a}^{2} }{4 {a}^{4} } \times \frac{5b}{25 {b}^{3} } = \\ [/tex]

[tex] \frac{4 {a}^{2} \times 3 }{4 {a}^{2} \times {a}^{2} } \times \frac{5b}{5b \times 5 {b}^{2} } = \\ [/tex]

[tex] \frac{3}{ {a}^{2} } \times \frac{1}{5 {b}^{2} } = \frac{3}{5 {a}^{2} {b}^{2} } \\ [/tex]

_________________________________

b )

[tex] \frac{ {x}^{2} - 2x - 15 }{ {x}^{2} - 9 } \times \frac{ {x}^{2 } - 6x + 9 }{4x - 12} = \\ [/tex]

[tex] \frac{(x - 5)(x + 3)}{(x - 3)(x + 3)} \times \frac{(x - 3)(x - 3) }{4(x - 3)} = \\ [/tex]

[tex] \frac{(x - 5)}{(x - 3)} \times \frac{(x - 3)}{4} = \\ [/tex]

[tex] \frac{(x - 3)(x - 5)}{(x - 3) \: \: \: \times \: \: 4} = \frac{x - 5}{4} \\ [/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

125

Step-by-step explanation:

Measure of d will be,

⇒ d = 125°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Here, r and s are two parallel lines

And, q is the Transversal

Here, Uppercase left angle is 125 degrees

And, The bottom right angle is d degrees

We know that the sum of supplementary angles is 180°

Hence, By the figure, we get;

125 + x = 180

x = 180 - 125

x = 55°

Also we know that

Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

So, Measure of d will also be,

d = 125°

Or,

d = 180 - 55

   = 125°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ6

answer:

75 times

explanation:

just add 25 per 10 seconds

Answer:

The correct answer is 75 jumps in 30 seconds.

Step-by-step explanation:

All you do is multiply 25x3=75. Because 3x10=30.

Answer:

1 mile: 4 minutes

Step-by-step explanation:

This problem can be expressed with a simple ratio: 2:8

Now, thankfully the numbers are even so we just need to simplify the ratio to get our answer. Ratios work like fractions in that manner. So we just need to divide both sides by 2 to get the _:4 result.

This gives us a ratio of 1:4. Therefore, Lin travelled 1 mile in 4 minutes.

12y = 4x + 8

A = 12y -4x + 8

B = 8yx = 8

C = yx =8/8

=yx = 1

Answer

i'm pretty sure 64 people attended the concert.

Step-by-step explanation:

Tell me if this helped or not.

Answer:

0

Step-by-step explanation:

To solve this without L'Hopital's rule, you need to use this identity:

lim(x→0) (sin x / x) = 1

lim(x→0) (sin²x / x)

lim(x→0) (sin x / x) (sin x)

lim(x→0) (sin x / x) · lim(x→0) (sin x)

1 · 0

0

Alternatively, since plugging in x=0 gets 0/0, we can use L'Hopital's rule.  Replace the numerator and denominator with their derivatives.

lim(x→0) (sin²x / x)

lim(x→0) (2 sin x cos x / 1)

0

Answer: 50 houses

Step-by-step explanation: If there was 100 houses the 60 percent would be 60 houses but all they did was cut the number of houses in half to try and trick you.

Answer:

hope you have a good day it is cccccccc

Answer:

4

Step-by-step explanation:

4=x

5x+7 =27

27=27

:(((

Answer:

you may be talking about this! the answer is (A) for this graph!

if not, let me know!

Answer:

2=the slope

Step-by-step explanation:

I used my graphing calculator.

Answer:

x^2-2x-24

Step-by-step explanation:

Answer:

1/4 is the answer for this because the slope is 1 and 4 so this means it is going up at a 1/4 slope.

Answer:

The slope = 1/4