is f(x)=7-2x a polynomial function

Answer:

See explanation below

Step-by-step explanation:

Recall the identity for the cosine of an addition of angles:

[tex]cos(\theta+\gamma)= cos(\theta)*cos(\gamma)- sin(\theta)*sin(\gamma)[/tex]

and that for a subtraction of angles:

[tex]cos(\theta-\gamma)= cos(\theta)*cos(\gamma)+sin(\theta)*sin(\gamma)[/tex]

Now, use the property of addition of angles above to write :

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

but since :  [tex]\frac{A+B}{2} +\frac{A-B}{2}= A[/tex]

Then the cosine of addition of angles above can be written as:

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(A)=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

We do something similar now with the cosine of the subtraction of angles:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and we notice that: [tex]\frac{A+B}{2} -\frac{A-B}{2}= B[/tex]

Then the cosine of subtraction of angles above can be written as:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and finally, we add term by term the expressions we got for cos (A) and for cos(B) and notice that the terms that contain the sine functions cancel each other because they have opposite signs, while the terms in cosine add up to double themselves:

[tex]cos(A )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\+\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\=\\cos(A) +cos(B)=2\,cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )[/tex]

which is what we wanted to prove.

Answer:

s

Step-by-step explanation:

s

Answer:

Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.

Step-by-step explanation:

The equation of a line with given point(x1,y1) and slope m is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

The line passes through (x1,y1)

Given

[tex](x_1,y_1) = (3,2)\\m = \frac{1}{3}[/tex]

=> x1 = 3

=> y1 = 2

Putting the values of x1, y1 and slope(m) in the point-slope form, the equation of line is:

[tex]y - 2 = \frac{1}{3}(x-3)[/tex]

Hence,

Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.

Answer:

a7/5

Step-by-step explanation:

Answer:

the answer will be 12 bc all you do is divided 6.6 =11

Step-by-step explanation:

The scientific notation for the given width will be [tex]3*10^{6}[/tex].

A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.

Given that, The Kuiper Belt is estimated to be about 3,000,000

meters wide.

3,000,000 = 3x1000,000

=  [tex]3*10^{6}[/tex].

Hence, The scientific notation for the given width will be [tex]3*10^{6}[/tex].

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Answer:

D. n1 and n2 can be of different sizes

Step-by-step explanation:

When we are trying to develop interval estimate for difference between two populations, we first select two samples from these populations. We get the interval using the required statistic.

These are:

- Sample size of both populations. Which are n1 and n2 respectively.

- then the Sample mean of two populations

- sample standard deviation.

The samples of different sample sizes can be used and we are not obligated to make use of the same sample size.

Answer:

a)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I know for sure.

12+84=96

12*1=12

12*7=84

Answer:

4

Step-by-step explanation:

1 2 3 4 so 4 because 4 is the last number before 5

Answer:

63.89

Step-by-step explanation:

my teacher went over this in class

Answer:

1 and 2 are the elements of (A B)

Answer:

It's not a function..

Step-by-step explanation:

Just take a look at it.

what did u studied about functions before doing this type of problem in math?

Does it look like it? no.

Answer:

That looks very hard .. sorry :(

Step-by-step explanation:

Answer:

-4/3

Step-by-step explanation:

you do change in y over change in x which is -1-3 over -3-(-6)

when you do the calculations you get -4/3

Answer:

rate of current=1 mph

Step-by-step explanation:

Answer:

1. 3. 6.

Step-by-step explanation:

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

Answer:

Its area is 370 square centimeters.

Step-by-step explanation:

Answer:

Answer is Option 2

Step-by-step explanation:

Triangles equal to 180 degrees in total. So it is 55+54+x+74=180

The simplified version that I just wrote is Option 2

Answer:

About 2.08 Uranus years is equal to 175 Earth years

Step-by-step explanation:

1     = ?

84     175

175/84 = 2.08

Number of Uranus years are equal to 175 Earth years is 2.08 years.

Given that, The length of 1 year on Uranus is a little more than 84 years on Earth.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of years be x

1 : 84 :: x : 175

⇒ 1/84 = x/175

⇒ 84x=175

⇒ x=175/84

⇒ x=2.08 years

Therefore, number of Uranus years are equal to 175 Earth years is 2.08 years.

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Answer:

nothing nothing nothing nothing

Step-by-step explanation:

nothing nothing nothing nothing nothing nothing nothing nothing

stream positons by ariana grande <3

Answer:

87   39/1000

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

12 bran muffins in 1 Cup so for 2/3 it is

2/3*12 = 8

Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]

C). m∠OPS + m∠OPN = 180° [Linear pair of angles]

D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

    And m∠TSP + m∠TSU = 180° [Linear pair of angles]

Therefore, Option (A) is the correct option.

Question (2).

A). m∠RSP + m∠RSU = 180° [Linear pair of angles]

B). m∠RSP + m∠PST = 180° [Linear pair of angles]

C). ∠RSP ≅ ∠TSU [Vertically opposite angles]

D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]

Therefore, Option (C) will be the answer.

Answer:

C

Step-by-step explanation:

OQ and RT are parallel lines, while UN is a transversal that crosses both lines at two points. P and S are a couple.

A). RSU [corresponding angles] OPS

B). [Consecutive interior angles] mOPS + mRSP = 180°

C). [Linear pair of angles] mOPS + mOPN = 180°

D.) Since then, OPS TSP [Alternate Interior Angles] has been implemented.

And [Linear pair of angles] mTSP + mTSU = 180°

As a result, Option (A) is the right one.

Inquiry (2).

A). [Linear pair of angles] mRSP + mRSU = 180°

B). [Linear pair of angles] mRSP + mPST = 180°

C). [Vertically opposite angles] RSP TSU

D). [Consecutive interior angles] mRSP + mOPS = 180°

so it’s gonna have to be C

Answer:

You will need to figure out how much it is going up by

Step-by-step explanation:

Answer:

Step-by-step explanation:

(Decimal: 1.222222)

Answer:

It's 10 times larger.

Step-by-step explanation:

If you just have 500,000, and the other one is 50,000, That means 50,000 x 10 is 500,000.

Answer:

Juke's jump; by 0.35 feet

Step-by-step explanation:

Given that,

Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.

Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.

Cooper's jump is :

[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]

Juke's jump is

[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]

So, it is clear that Juke's jump is longer than Cooper's jump.

Juke's jump - Cooper's jump = 4.75 - 4.4

= 0.35 feet

or

So, Juke's jump is 375 feet longer.

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

Answer:

Yeah im sure you wont get 3 heads for all coins it would usually be like 1 tails, 2 tails or 3 tails :/?

Step-by-step explanation:

Answer:

b does represent a function

Answer:

c

Step-by-step explanation:

a funtion cannot have and x coordinate repeatin g. there fore, because 2 repeats in c, c is the answer