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2 years ago

PLEASE HELP!!! Solve the inequality: 5 (2x-3) - 6x > -2 (x - 6) +3

Mathematics

2 answers:

garri49 [273]2 years ago

7 0

Answer:

x>5 have a great day

Step-by-step explanation:

jeyben [28]2 years ago

3 0

Answer:

x>5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

4x−15>−2x+15

Step 2: Add 2x to both sides.

4x−15+2x>−2x+15+2x

6x−15>15

Step 3: Add 15 to both sides.

6x−15+15>15+15

6x>30

Step 4: Divide both sides by 6.

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3 years ago

Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat

Taya2010 [7]

Answer:

$\displaystyle \left(1,\frac{5}{12}\right)$

Step-by-step explanation:

Graphs

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

$w=mt+b$

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.

Using the point (0,0):

$0=m(0)+b$

It follows that b=0

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$w=mt$

Using the point (12,5):

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We find m:

$\displaystyle m=\frac{5}{12}$

The final equation is:

$\displaystyle w=\frac{5}{12}\cdot t$

Substituting t=1:

$\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}$

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2 years ago

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inna [77]

Answer: $\frac{16}{3}$

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

In this case, given the following expression:

$(-8)(-\frac{2}{3})$

You can idenfity that both factors are negative. Then, the product (The result of the multiplication) will be positive.

Then, in order to get the product, you need to multiply the numerator of the fraction by -8. So, you get:

$\frac{(-2)(-8)}{3}=\frac{16}{3}$

You can notice that the numerator and the denominator of the fraction obtained cannot be divided by the same number; therefore, the fraction cannot be simplified.

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Mashcka [7]

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Step-by-step explanation:

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