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PilotLPTM [1.2K]
3 years ago
7

How many solutions exist for the given equation?

Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

Infinitely many

Step-by-step explanation:

12x+1=3(4x+1)-2

Expand 3(4x+1)-2

12x+3-2

12x+1

12x+1=12x+1

Simplify.

0=0

True for all values of x

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AD = 6x - 4 and AC = 4x - 3
salantis [7]

Answer:

CD= 2x-1

Step-by-step explanation:

AD = 6x-4

AC = 4x - 3

CD= AD- AC

CD=  6x-4 - (4x - 3)

CD= 6x - 4 - 4x +3

CD= 2x -1

Therefore, the value of CD= 2x-1

3 0
1 year ago
The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

3 0
3 years ago
Solve to find the value of x.
aleksley [76]
135
cross multiply 9*20 then divide by 8


5 0
3 years ago
Read 2 more answers
WORTH 100 POINTS need the answers asap
Lena [83]

<u>Answer:</u>

f(x) = x^2 , x < 2

f(x) = 5, 2\leq x < 4

<u>Step-by-step explanation:</u>

We have a parabola and a small line shown in the graph.

The parabola goes upto x = 2 but does not reach that very value. So x = 2 starts on the line above where x = 2 and ends just before x = 4.

Therefore, this function can be modeled by:

f(x) = x^2 , x < 2

f(x) = 5, 2\leq x < 4

4 0
3 years ago
Read 2 more answers
Shelly biked 21 miles in 4 hours (part A) what is Shelly's average speed in miles per hour (part B) at the same rate how many ho
Alex73 [517]

A) Divide total miles by total time:

21 miles /  4 hours = 5.25 miles per hour.

B) Divide miles by miles per hour:

42 miles / 5.25 miles per hour = 8 hours.

3 0
2 years ago
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