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Nitella [24]
3 years ago
9

Help me solve this equation 3x-7=4x

Mathematics
2 answers:
Alla [95]3 years ago
7 0
3x - 7 = 4x

We're basically just trying to take all of the variables & put it onto one side, and then move everything else to the other side :)

So, we must add 7 to both sides.

3x = 4x + 7

Then, we subtract 4x from both sides.

3x - 4x = 7

Simplify.

-x = 7

Divide both sides by -1.

x = -7

To check our work, we simply need to plug in -7 for x in our given equation :)

3x - 7 = 4x

3(-7) - 7 = 4(-7)

Simplify.

-21 - 7 = -28

-28 = -28

Therefore, x = -7

~Hope I helped!~
Sauron [17]3 years ago
4 0
Hey!

Let's write it, 3x-7=4x
Add 7 to both sides,
3x-7+7=4x+7
3x=4x+7
Subtract 4x from both sides.
3x-4x=4x+7-4x
-x=7
Since we don't want a negative variable, we have to divide both sides by -1.
\frac{-x}{-1}=\frac{7}{-1}
Our answer would be,
x=-7

Thanks!
-TetraFish
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Solution to m^2- 36=0
alex41 [277]

Answer:

m=(-6,6)

Step-by-step explanation:

m^2 -36 = 0

Reorder the terms:

-36 + m^2 = 0

Solving for variable 'm'.

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-36 + 36 + m^2 = 0 + 36

Combine like terms: -36 + 36 = 0

0 + m^2 = 0 + 36

m^2 = 0 + 36

Combine like terms: 0 + 36 = 36

m^2 = 36

Simplifying

m^2 = 36

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3 years ago
X+2=-2x+8<br> I am stuck
Irina-Kira [14]

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3 years ago
drug sniffing dogs must be 95% accurate in their responses because their handlers don't want them to miss durgs and also don't w
GenaCL600 [577]

Answer:

95% Confidence interval:  (0.8449,0.9951)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Number of times the dog is right, x = 46

\hat{p} = \dfrac{x}{n} = \dfrac{46}{50} = 0.92

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.92 \pm 1.96(\sqrt{\dfrac{0.92(1-0.92)}{50}})\\\\ = 0.92\pm 0.0751\\\\=(0.8449,0.9951)

(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.

7 0
3 years ago
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