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dlinn [17]
2 years ago
8

PLEASE HELP!!This is joshs solution for the equation x^2-6x-7=0: x^2-6x-7=0

Mathematics
1 answer:
iren [92.7K]2 years ago
4 0

Answer:

  no. see below

Step-by-step explanation:

This much of Josh's working is correct:

  x^2-6x=7

  x^2-6x+9=7+9

  (x-3)^2=16

At this point Josh apparently overlooked the fact that he needed to take the square root of both sides of the equation. Had he done that, he would have ...

  x -3 = ±4

  x = 3+4 . . . or . . . 3 -4

  x = 7 or -1

_____

Josh reported values of x that would match ...

  x -3 = ±16

He <em>violated the equal sign</em> by taking the square root on the left, and multiplying by ±1 on the right. Doing different operations on the two sides of the equation will mean the value of x is changed to something other than what you're looking for.

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Find the constant of proportionality for the table of values.
Anna [14]

The constant of proportionality k is 3.5

Step-by-step explanation:

Proportionality describes any relationship that is always in the same

ratio

If two quantities x and y are in proportionality, then

1. y ∝ x

2. y = k x , where k is the constant of proportionality

∵ x ⇒    6    ,    7      ,    8    ,    9

∵ y ⇒    21   ,   24.5 ,    28  ,    31.5  

∵ y ∝ x

∴ y = k x

- Use x = 6 and y = 21 to find the value of k

∵ x = 6 and y = 21

∴ 21 = k (6)

- Divide both sides by 6

∴ k = 3.5

- Use x = 7 and y = 24.5 to find the value of k

∵ x = 7 and y = 24.5

∴ 24.5 = k (7)

- Divide both sides by 7

∴ k = 3.5

- Use x = 8 and y = 28 to find the value of k

∵ x = 8 and y = 28

∴ 28 = k (8)

- Divide both sides by 8

∴ k = 3.5

- Use x = 9 and y = 31.5 to find the value of k

∵ x = 9 and y = 31.5

∴ 31.5 = k (9)

- Divide both sides by 9

∴ k = 3.5

The constant of proportionality k is 3.5

Learn more:

You can learn more about proportionality in brainly.com/question/10708697

#LearnwithBrainly

4 0
3 years ago
What is the value of x?
Aleks04 [339]
The answer of x is
X=84,8
5 0
3 years ago
If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?
LuckyWell [14K]

Answer:

RM = 12 cm

Step-by-step explanation:

a^{2} + b^{2} = c^{2}

Assuming 20 is the hypotenuse cus there is no picture:

a^{2} + 16^{2} = 20^{2}

a^{2} +256 = 400

a^{2} = 144

a=144

If It's not the hypotenuse:

16^{2}+ 20^{2} =c^{2}

256+400 =c^{2}

656=c^{2}

c = 25.61249695

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

5 0
2 years ago
The sum of the two decimals is 1 the product of these decimals is 0.25 the quotient of these two decimals is 1 what are the two
ExtremeBDS [4]
Since the quotient of the two decimal numbers is 1, that tells use that they are the same number.
Since the sum of the two numbers equals 1 and both numbers are the same, then the answer must be 1 divided by 2. or .5
the fractions would be 1/2 and 1/2

5 0
2 years ago
There are 12 inches in a foot and 3 feet in a yard. If a baby step is 6 inches long. How many baby steps are needed to walk 3 ya
SashulF [63]
18 I believe. not 100%
8 0
3 years ago
Read 2 more answers
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