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Brums [2.3K]
3 years ago
10

Use the functions to answer the question.

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0
Composition function rule (f○g)(x) = f(g(x))
<em><u /></em><u>Given the separate functions</u>: f(x)=2x+1 and g(x)=x^2

(f\circ g)(-5)\rightarrow\text{ Composition Function Rule}\rightarrow f(g(-5))=2((5)^2)+1
\rightarrow2(25)+1=50+1=51
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What is the 6th term of the geometric sequence 4, −20, 100, ...?
shtirl [24]
Let's calculate r of this G.P: (-20)/(4) = - 5(100)/(-20) = - 5So r = -5
The formula to find the nth term of a GP is;
a(n) = a(r)ⁿ⁻¹
<u />a₆ = a(r)⁶⁻¹
a₆ = 4(-5)⁵ = -12500<u />
3 0
3 years ago
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PLEASE HELP WILL MARK BRAINLIEST<br> -SEE ATTACHMENT-
yuradex [85]

ANSWER

(x - 5) ^{5}  =  {x}^{5}  - 25 {x}^{4} + 250 {x}^{3}   - 1250 {x}^{2} + 3125x- 3125

EXPLANATION

From the Pascal's triangle,

The coefficients are :

1, 5, 10,10, 5,1

Because of the negative sign, the expansion will alternate sign.

(x - y) ^{5}  =  {x}^{5}  - 5 {x}^{4} y + 10 {x}^{3}  {y}^{2}  - 10 {x}^{2}  {y}^{3}  + 5x {y}^{4}  -  {y}^{5}

We now put y=5 into the expansion to get,

(x - 5) ^{5}  =  {x}^{5}  - 5 {x}^{4} (5) + 10 {x}^{3} ( {5}^{2})  - 10 {x}^{2}  ({5})^{3}  + 5x( {5})^{4}  - {5}^{5}

(x - 5) ^{5}  =  {x}^{5}  - 25 {x}^{4} + 250 {x}^{3}   - 1250 {x}^{2} + 3125x- 3125

3 0
4 years ago
Read 2 more answers
What is the value of x ; 32x + 53 = 501
kirill [66]
32x + 53 = 501 
       -53       - 53 

<u>32x</u> = <u>448</u>
32       32

x = 14 
6 0
3 years ago
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State whether the data described below are discrete or​ continuous, and explain why. The numbers of languages spoken by differen
Tems11 [23]

Answer:

Option C) The data are discrete because the data can take on specific value.

Step-by-step explanation:

We are given the following in the question:

The numbers of languages spoken by different people.

The data would include points like English, Hindi, Marathi, and many more.

Thus, the data is discrete because the number of languages will always be expressed in whole numbers and thus it cannot take any value within an interval.

The value is calculated and not measured.

Thus, the correct answer is

Option C) The data are discrete because the data can take on specific value.

8 0
4 years ago
5x+9−2x+13=67 solve the equation
MariettaO [177]

Answer:

5x+9−2x+13=67

3x+9+13=67

3x+22=67

3x=45

x=15

Mark brainliest!!

3 0
3 years ago
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