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Volgvan
3 years ago
11

-3(3+x)+4(x-6)=-4 Please help me with this question

Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

\boxed{ \bold{ \huge{ \sf{x = 29}}}}

Step-by-step explanation:

\sf{ - 3(3 + x) + 4(x - 6) =  - 4 }

Distribute -3 through the parentheses

Similarly, Distribute 4 through the parentheses

⇒\sf{ - 9 - 3x + 4x - 24 =  - 4}

Collect like terms

⇒\sf{x - 9 - 24 =  - 4}

Calculate

⇒\sf{x - 33 =  - 4}

Move 33 to right hand side and change it's sign

⇒\sf{x =  -  4 + 33}

Calculate

⇒\sf{x = 29}

Hope I helped!

Best regards!!

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What number needs to be added to both sides of the equation to complete the square?
Doss [256]

Answer:

9/4

Step-by-step explanation:

(-3/2)^2=9/4

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2 years ago
The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?
34kurt

Answer:

115.3333

Step-by-step explanation:

346/3

Hope this helps. :)

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3 years ago
PLZZZZZZZZZZZZZZZZ
Julli [10]

Answer:

x = -(8/5)  or  -(\frac{8}{5})

Step-by-step explanation:

-5x+12=20

-5x=20-12

-5x=8

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Find the greatest commun factor of each set of numbers 24, 26 and 84
Nataly_w [17]
2
Because  -
2 x 12=12 

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4 0
2 years ago
Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.
Artyom0805 [142]

Answer:

P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)

And we can find this probability on this way:

P(Z>-0.75)=1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problm

Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:

X \sim N(75,8)  

Where \mu=75 and \sigma=8

We are interested on this probability

P(X>69)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)

And we can find this probability on this way:

P(Z>-0.75)=1-P(Z

4 0
3 years ago
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