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3 years ago

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:

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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lina2011 [118]

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3 years ago

[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?

Nitella [24]

Answer:

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