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3 years ago

Find g(x), where g(x) is the translation 7 units up of f(x)=x.

Mathematics

1 answer:

hammer [34]3 years ago

8 0

G(x)=x+7 is the translation

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2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the fathe

Goshia [24]

Answer:

The Father is currently 47 and the Son is 7

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]

We also learn that (F+3) = 5(S+3) [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F). I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

Father is 47 and Son is 7

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5. Yes, 9*5 = 45

In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50

3 0

2 years ago

Form a polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3

polet [3.4K]

The polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3 is $x^3-3x^2-x+3=0$

Step-by-step explanation:

We need to find a polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3.

If -1, 1 and 3 are real zeros, it can be written as:

x= -1, x= 1, and x = 3

or x+1=0, x-1=0 and x-3=0

Finding polynomial by multiply these factors:

$(x+1)(x-1)(x-3)=0\\(x+1)(x(x-3)-1(x-3))=0\\(x+1)(x^2-3x-x+3)=0\\(x+1)(x^2-4x+3)=0\\x(x^2-4x+3)+1(x^2-4x+3)=0\\x^3-4x^2+3x+x^2-4x+3=0\\Combining\,\,like\,\,terms:\\x^3-4x^2+x^2+3x-4x+3=0\\x^3-3x^2-x+3=0$

So, The polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3 is $x^3-3x^2-x+3=0$

Keywords: Real zeros of Polynomials

Learn more about Real zeros of Polynomials at:

#learnwithBrainly

8 0

3 years ago

there are 25 students in a classroom. the ratio of girls to boys is 3to2 how many boys and how many girls are there in the class

mixas84 [53]

Answer:

15 girls, 10 boys

Step-by-step explanation:

Since the ratio is 3:2, then the ratio can be rewritten as 15:10. So there are 15 girls and 10 boys

5 0

3 years ago

Read 2 more answers

I need a 4 to 3 ratio sentence pls

Slav-nsk [51]

Answer:

Four over three

Step-by-step explanation:

i just know

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3 years ago

How do you know to use trig ratios

Katena32 [7]

You pay attention in class

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3 years ago