Select the correct answer. Let f(x) and g(x) be polynomials as shown below.
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Answer:

Angle #4

Step-by-step explanation:

4 & 5 are equal, and opposite.

1 & 2 are also congruent by this standard.

Answer:

1.1+2. =3

2.1+2+3 =6

3.1+2+3+4 =10

4.1+2+3+4+5=15

5.1+2+3+4+5+6=21

6.1+2+3+4+5+6+7=28

triangle numbers

Answer:

Step-by-step explanation:

Diagram  (n)               Number of circles  ([tex]T_n[/tex])

 1                                       3

 2                                      6

 3                                      10

 4                                       15

 5                                       21  

 6                                       28

Pattern:

      [tex]T_n = \frac{(n+1)(n+2)}{2}[/tex]          

Where n = diagram number,        

OR

Diagram                                               Number of circles

 1                                                                  1 + 2

 2                                                                 1 + 2 + 3

 3                                                                  1 + 2 + 3 + 4

 4                                                                  1 + 2 + 3 + 4 + 5

 5                                                                  1 + 2 + 3 + 4 + 5 + 6

 6                                                                  1 + 2 + 3 + 4 + 5 + 6 + 7

 n                                                                  1 + 2 + 3 + 4 + 5 + . . . + (n + 1)  

Answer:

Step-by-step explanation:

We have two sides of the triangle and the included angle and we need to find the missing side.

Use the law of cosines:

Answer:

Mistakes:

Used addition

Didn't flip inequality form

Corrections:

Divide each term

Instead of a positive value it should be negative

flip the direction of the inequality form

Step-by-step explanation:

[tex] - 9x \div - 9 \leqslant 90 \div – 9 [/tex]

cancel the common factor

[tex] \times \leqslant 90 \div - 9[/tex]

Divide 90 by – 9

Answer is:

[tex] \times \leqslant - 10[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

1) a variable term contains a variable. If x is  a variable

5x is an example of a variable therm

2) a constant therm is not a variable

3 is an example

3) for example when a number multiply a sum or a difference between a constant and a variable

Example:

2(x-3) = 5(x+4)

4) one solution: only if x is equal to 0 the equation is true

5) no solution: the equation can’t be true for ever value of the variable

6) infinite solutions: the equation is ever true for every value of the variable

Answer:There is a button that says answer you click on answer and then give the answer and then once your finished click the green button on top that says add your answer.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Either you can click on the "answer" button on the question in main menu, or you can click on the question, and then click the "add your answer" button.

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hope it helps

Answer:

$138.75

Step-by-step explanation:

t = total purchase

t = 125 + 125(11%)

 = 125 + 13.75

t = 138.75

The total purchase was $138.75.

Answer:

[tex]\$8,100[/tex]

Step-by-step explanation:

We can denote this increase with the function [tex]y=3^x\cdot 100[/tex], where [tex]y[/tex] is value after [tex]\frac{x}{9}[/tex] years.

Substituting [tex]x=36[/tex], we get:

[tex]3^4\cdot 100=\boxed{\$8,100}[/tex]

Answer:

8,100

Step-by-step explanation:

The first 9 years would be 300, then 18 years would be 900, and 27 years it would be 2,700, and finally after 36 years it would be 8,100.

Answer:

Not the same

Because if it derives, it will be positive and the other negative

Answer: (below)

Step-by-step explanation:

The functions shown are exponential functions, which have the form f(x) = a*(b)^x. "a" represents the intial value, while "b" represents the growth factor.

To determine whether a function is growing or decaying, you look at the growth factor. If the growth factor is greater than 1, the function is growing, since each value is getting larger and larger. Meanwhile, if the growth factor is between 0 and 1, the function is decaying, since each value is getting smaller and smaller.

Now, back to this question, let's look at our functions. In the function on the left, the growth factor is 0.87, which is between 0 and 1, so this function is decaying. For the function on the right, the growth factor is 1.25, which is greater than 1, so this function is decaying. Next, let's look at our graphs. In the left graph, the function is growing, so it matches with the function on the right. Meanwhile, in the right graph, the function is decaying, so it matches with the function on the left.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

The probability that the spinner lands on a 5 or a multiple of 3 will be 0.4444 or 44.44%.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

You spin a spinner with 9 equal spaces numbered 1 through 9.

Then the probability that the spinner lands on a 5 or a multiple of 3 will be

The total number of the event will be

Total events = 9

The favorable event will be

Favorable = 1 {5} and 3 {3, 6, 9}

Then the probability will be

P = 1/ 9 + 3/ 9

P = (1 + 3) / 9

P = 4/9

P = 0.4444

P = 44.44%

More about the probability link is given below.

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Answer:

w> -24

Step-by-step explanation:

w +6 > -18

Subtract 6

w+6-6 > -18-6

w> -24

Answer: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Rate of change are typically found using [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1} }[/tex].

[tex](x_{1}, y_{1}) = (-2, 3)\\(x_{2}, y_{2}) = (2, 5)\\\\\frac{5-3}{2-(-2)} =\frac{2}{2+2} =\frac{2}{4} =\frac{1}{2}[/tex]

Therefore, the rate of change(aka slope) is [tex]\frac{1}{2}[/tex].

Answer:

a ≈ 14.39

Step-by-step explanation:

7² + a² = 16²

49 + a² = 256

49 - 49 + a² = 256 - 49

a² = 207

√a² = √207

a = 14.3874945699

a ≈ 14.39

the answer is 15 ten thousand because all the other except this is equal to 15,000

Answer:

C

Step-by-step explanation:

sine uses opposite over hypotenuse

the opposite of x is 20 and the hypotenuse is 29

so the answer is 20/29

Answer:

I don't understand the language but I can do it

Answer:

OPTION C is the correct answer

7,9

Answer:

option 3 is correct

Step-by-step explanation:

hope it helped

have a good day!

Answer:

C is the answer of this question

Answer:

Triangle 2

Step-by-step explanation:

The translation is a type of transformation, where the figure is just translated or simply moved from its original place.

The figure is not rotated or dilated but simply moved.

Here, we can see that only figure or triangle 2 is like the triangle ABC. Other triangles have undergone other transformations.

So, the correct answer is triangle 2.

~Hope this helps~

Answer:

(-2, -1)

Step-by-step explanation:

The centre of a circle is located at the mid-point of any diameter, hence we take the average of the coordinates of the end-points.

Cx = (2-6)/2 = -2

Cy = (6-8)/2 = -1

So the centre is located at (-2, -1)

Answer:

I'm not good at math

Step-by-step explanation:

Answer:

6x= 12+8

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

If there are 100 birds on a tree and you shoot 1, that bird is still on the tree. So there are 100 birds.

Answer:

C

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the whole length of DEF is given as 7, and segment DE is 2, then segment EF is 7 - 2 = 5

Answer:

Joe Will need to pay a commission of [$7.50]. The Total amount Charged by the broker will be [$17.50]

Step-by-step explanation:

Joe will need to pay a commission of [tex]\$7.50[/tex] and Total amount charged by broker will be [tex]\$17.50[/tex].

Commission is a form of money pay as remuneration for services rendered or products sold.

We have,

Joe's current portfolio  [tex]=\$ 50,000[/tex]

Price of one stock [tex]=\$15[/tex]

So,

As his portfolio is less than [tex]\$100,000[/tex], he have to pay [tex]15\%[/tex] and [tex]\$10[/tex] trade fee,

So,

Price of [tex]50[/tex] shares [tex]=50*15=\$750[/tex]

Commission charge [tex]=1\%\ of\ 750[/tex]

                                  [tex]=\$7.5[/tex]

So, commission of [tex]\$7.5[/tex] will be paid.

So,

Total amount charged by Broker [tex]=10+7.5=\$17.5[/tex]

Hence, we can say that Joe will need to pay a commission of [tex]\$7.50[/tex] and Total amount charged by broker will be [tex]\$17.50[/tex].  .

To know more about probability click here

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