Mathematics, 09.10.2019 19:00 sairaanwar67

Drag each equation to the correct location on the table.

determine the number of solutions in each equation. then place each equation in the box that corresponds to its number of solutions.

Drag each equation to the correct location on the table. determine the number of soluti

Answers: 2

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Answer from: hei40563273

1) $3^{x}=2^{x} +1$ ------> 1 solution

2) $3x-2=3^{x} +1$ ------> No solutions

3) $2^{x} -1=4^{x}+3$ ----> No solutions

4) $2x+1=2^{x}$ ----> 2 solutions

5) $(1/2)x+3=3^{x}-1$ ----> 2 solutions

Step-by-step explanation:

we know that

Using a graphing tool

Verify each case

case 1) we have

$3^{x}=2^{x} +1$ -----> equation A

we know that

The equation A can be divided into two equations B and C

$y=3^{x}$ -----> equation B

$y=2^{x} +1$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 1

One point of intersection

therefore

One solution

case 2) we have

$3x-2=3^{x} +1$ -----> equation A

we know that

The equation A can be divided into two equations B and C

y=3x-2 -----> equation B

$y=3^{x} +1$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 2

No point of intersection

therefore

No solutions

case 3) we have

$2^{x} -1=4^{x}+3$ -----> equation A

we know that

The equation A can be divided into two equations B and C

$y=2^{x} -1$ -----> equation B

$y=4^{x} +3$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 3

No point of intersection

therefore

No solutions

case 4) we have

$2x+1=2^{x}$ -----> equation A

we know that

The equation A can be divided into two equations B and C

y=2x+1 -----> equation B

$y=2^{x}$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 4

Two point of intersection

therefore

Two solutions

case 5) we have

$(1/2)x+3=3^{x}-1$ -----> equation A

we know that

The equation A can be divided into two equations B and C

y=(1/2)x+3 -----> equation B

$y=3^{x}-1$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 5

Two point of intersection

therefore

Two solutions

Drag each equation to the correct location on the table. determine the number of solutions in each

Answer from: Quest

What’s the question here? what have you been learning about?

Answer from: Quest

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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Drag each equation to the correct location on the table.

determine the number of soluti...