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Paul [167]
3 years ago
11

For which value of c will the equation 6y−8=c+6y have an infinite number of solutions?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

<h2>-8</h2>

Step-by-step explanation:

6y - 8 = c + 6y        <em>subtract 6y from both sides</em>

6y - 6y - 8 = c + 6y - 6y

-8 = c

The equation has an infinite many solutions if when we get a true equation with no variable y.

Therefore c = -8

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4 0
3 years ago
[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?
Nitella [24]

Answer:

C

Step-by-step explanation:

Given the logarithmic equation

\log_4x+\log_4(x-3)=\log_4(-7x+21)

First, notice that

x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

\log_4x+\log_4(x-3)=\log_4x(x-3),

then

\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3

Hence, x=3 and x=-7 are extraneous solutions

6 0
3 years ago
How do you know if -4^2 is -16 or 16?
alex41 [277]

\text{Hey there!}

\bf{-4^2=-4\times-4=16}\\\bf{You\ factor\ out\ the\ exponent\ by\ multiplying.\ Like\ how\ I\ did.}\\\\\\\\\boxed{\boxed{\text{Answer: 16}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

4 0
3 years ago
Help brainliest and 10 points
evablogger [386]
A= 1
................
4 0
3 years ago
Read 2 more answers
The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between x(height) and y(arm span) is sho
abruzzese [7]

Answer:

27.385 cm longer would we expect Mike's arm span to be than George's.

Step-by-step explanation:

We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:

y= 4.5x + 0.977 x

where y= arm span

and x= height

Given:

Mike's height=x = 175 cm

so Mike's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (175) + 0.977* (175)

                                    = 787.5 + 170.975

                                    = 958.475 cm

George's height = x = 170 cm

so George's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (170) + 0.977* (170)

                                    = 765 + 166.09

                                    = 931.09 cm

Mike's arm span longer than George's = Mike's arm span - George's arm span

                                                                 = 958.475 - 931.09

                                                                 = 27.385 cm.

8 0
3 years ago
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