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Natalka [10]
3 years ago
8

Which statement about the functions f(x)=2x+5 and g(x)=6x+15 is true?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
4 0

The true statement is g(x) = 3.f(x) ⇒ 1st answer

Step-by-step explanation:

  • f(x) = 2x + 5
  • g(x) = 6x + 15

We need to find which statement is true

Let us compare between the x term in the two function and the numerical terms in the two function

∵ The x terms are 2x and 6x

∵ 6x ÷ 2x = 3

∵ The numerical terms are 5 and 15

∵ 15 ÷ 5 = 3

- That means each term of f(x) is multiplied by 3 to give g(x)

∴ g(x) = 3(2x + 5)

∴ g(x) = 3.f(x)

The true statement is g(x) = 3.f(x)

<em>V.I.Notes:</em>

  • f(3x) means we multiply x only by 3, then g(x) = 6x + 5
  • f(x + 3) means we add x only by 3, then g(x) = 2(x + 3) + 5, when simplify it g(x) = 2x + 11
  • f(x) + 3 means we add 3 to (2x + 5), then g(x) = 2x + 8

Learn more:

You can learn more about the functions in brainly.com/question/4326955

#Learnwithbrainly

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On average the number of electric guitars sold in New York each year is 88,438, which is seven times the average number of elect
Taya2010 [7]

Answer:

South Dakota sells 12634 electric guitars p/yr.

Step-by-step explanation:

All you have to do is divide 88,438 by 7 because New York sells 7 times more. Divide that by 7 and you get 12,634

In Conclusion, your answer is that South Dakota sells 12634 electric guitars p/yr (per year) on average.

8 0
3 years ago
PLEASE SOMEONE HELP EASY Y6 QUESTION
pshichka [43]

Answer:

15

Step-by-step explanation:

googled it

8 0
3 years ago
Read 2 more answers
Please help me almost done
Gnom [1K]

Answer:

x = -8

<XCE = 30

Step-by-step explanation:

Remark

In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.

We have a little bit of both in this question.

Solution

3x + 174 = - 7x + 94                  Alternate exterior angles. Add 7x to both sides.

3x+7x +174 = 94                       Combine

10x + 174 = 94                          Subtract 174 from both sides

10x = 94 - 174

10x = - 80                                 Divide by 10

x = - 80/10

x = - 8

===================

Check

3x + 174 = -24 + 174 = 150

-7x + 94 = -7*-8 + 94

-7x + 94 = 56 + 94 = 150

<XCE

<XCE = 180 - (3x + 174)

<XCE = 180 - (-24 + 174)

<XCE = 180 - (150)

<XCE = 30

3 0
3 years ago
Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic
antoniya [11.8K]
The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Step-by-step explanation :
The given expression is,




To solve this problem we are using quadratic formula.
The general quadratic equation is,

Formula used :

Now we a have to solve the above equation and we get the value of 'x'.

a = 3, b = -2, c = 0






The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
8 0
2 years ago
For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)
Lana71 [14]

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

4 0
3 years ago
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