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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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Answer:

1/3

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur

Probability = Expected/Total outcome

Since the experiment requires rolling a dice

S = {1, 2, 3, 4, 5, 6}

Total outcome n(S) = 6

Number greater than 4 are;

Events E = {5,6}

Expected outcome n(E) = 2

Probability of rolling a number greater then 4 = 2/6

Probability of rolling a number greater then 4 = 1/3

8 0
2 years ago
Tony is mailing packages. Each small package costs him $2.80 to send. Each large package costs him $3.60. How much will it cost
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Answer:

The answer is $33.6

Step-by-step explanation:

Each small package costs him $2.80

3 small packages will cost him 3 x $2.80 = $8.4

 

Each large package costs him $3.60

7 large packages will cost 7 x $3.60 = $25.2

 

Cost to  send 3 small packages and 7 large packages = $8.4 + $25.2

= $33.6

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2 years ago
A construction crew has repaired 1.37 miles of a highway. The total length of the highway to be repaired is 7.9. How many miles
JulijaS [17]

Answer:

Part A: m+1.37=7.9

Part B: 6.53 miles are left to be repaired.

Step-by-step explanation:

Given,

Length of repaired part = 1.37 miles

Total length to be repaired = 7.9 miles

Miles left to be repaired = m

Part A:

Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.

Miles left to be repaired + Length of repaired part = Total length to be repaired

m+1.37=7.9

Part B

How many miles are left to be repaired?

Subtracting 1.37 from both sides

6.53 miles are left to be repaired.

Keywords: length, subtraction

Step-by-step explanation:

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The second hand of an analog clock completes an entire rotation in 60 seconds, and the length of the seconds hand is 8 inches. a
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