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3 years ago

If f(x)= 3x-1 and g(x)=2x-3, for which value of x does g(x)= f(2)

Mathematics

1 answer:

gregori [183]3 years ago

7 0

Answer:

g(4)=f(2)

Step-by-step explanation:

f(2)=3(2)-1

f(2)=6-1

f(2)=5

We then get:

g(x)=f(2)

subsitute 5 for f(2)

g(x)=5

now solve

5=2x-3

add 3

8=2x

divide 2

4=x

so the answer is x=4 or

g(4)=f(2)

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Find the greatest common factor of 10, 30,10,30,10, comma, 30, comma and 454545.

borishaifa [10]

Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as $4\div 2 =2$ . So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, 5, 10.

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 45 = 1, 3, 5, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

5 0

3 years ago

1) 6a + 5a = −11

dimaraw [331]

Answer:

6a + 5a = 11

6a + 5a=

11a

11a = 11

divide both side by 11

11a/11 = 11/11

a = 1

5 0

2 years ago

When an integer is subtracted from 5 times the next consecutive integer, the difference is 17. Find the value of the greater int

Mars2501 [29]

Answer:

Step-by-step explanation:

5(x + 1) -x = 17 Distribute the 5

5x + 5 - x = 17 Combine like terms

4x + 5 = 17 Subtract 5 from both sides

4x = 12 Divide both sides by 4

x = 3

Three is the smaller integer and 4 is the greater integer.

5 0

1 year ago

Enter the missing numbers in the boxes to complete the table of equivalent ratios

son4ous [18]

Answer:

Time(min)

Distance(km)

Step-by-step explanation:

the time is 1/3rd of the distance. it's a 1:3 ratio

4 0

3 years ago

Tyrone and Terri both bought sofas with installment loans. Tyrone bought a sofa with a

Minchanka [31]

Answer:

Tyrone paid the higher markup rate.

Step-by-step explanation:

Tyrone and Terri both bought sofas with installment loans.

Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,

74 × 24 = $1776

The mark up = $1776 - $1350 = $426

Tyrone markup rate = 426/24 = $17.75 per month

Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,

52 × 24 = $1248

mark up = $1248 - $950 = $298

Terri markup rate = 298/24 = $12.4166666667 = $12.42 per month

6 0

3 years ago