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3 years ago

Is 1/3 less than or greater than 5?

Mathematics

1 answer:

NikAS [45]3 years ago

7 0

Answer:

Less than

Step-by-step explanation:

not a whole #

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For which interval does this quadratic inequality hold true? 6x − x2 − 8 > 0

xz_007 [3.2K]

$6x-x^2-8 \ \textgreater \ 0 \\
-x^2+6x-8\ \textgreater \ 0 \\
-x^2+2x+4x-8\ \textgreater \ 0 \\
-x(x-2)+4(x-2)\ \textgreater \ 0 \\
(-x+4)(x-2)\ \textgreater \ 0 \\ \\
\hbox{the zeros:} \\
(-x+4)(x-2)=0 \\
-x+4=0 \ \lor \ x-2=0 \\
x=4 \ \lor \ x=2$

The coefficient of x is negative, so the parabola opens downwards. The values greater than 0 are between the zeros.
The solution set for the inequality is:
$x \in (2,4)$

The answer is B.

8 0

3 years ago

Read 2 more answers

A commercial package contains thirty-six 200-mg tablets of ibuprofen. How many kilograms of ibuprofen were

PIT_PIT [208]

Answer: 0.0072 kilogram

Step-by-step explanation:

Given : The mass of one tablet of ibuprofen =200 mg

Then, the mass of 36 tablets of ibuprofen = $36\times200$ mg

i.e. the mass of 36 tablets of ibuprofen = $7200$ mg

We know that 1 kilogram = 1000 grams

and 1 gram = 1000 milligram

Then, 1 kilogram = $1000,000$ milligrams

Then, $\text{1 mg}=\dfrac{1}{1000,000}\text{ kg}$

Now, $\text{7200 mg}=\dfrac{7200}{1000,000}=0.0072\text{ kg}$

Hence, A commercial package contains 0.0072 kilogram of ibuprofen.

3 0

3 years ago

Rearrange numbers from least to greatest 2/3, 30%, 0.03, 23%

Orlov [11]

Answer:

2/3,30% ,0.03,23%

Step-by-step explanation:

8 0

3 years ago

Please help<br><br> Write an inequality for the given graph

Oduvanchick [21]

Answer:

y < 1/2x - 3

Step-by-step explanation:

You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.

This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.

y < 1/2x - 3 y > 1/2x - 3

0 < 1/2(0) - 3 0 > 1/2(0) - 3

0 < -3 0 > -3

The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.

8 0

3 years ago

6 * 10^8 is how many times as large as 2 * 10^3

REY [17]

Answer:

300000 or 3 * 10^5

6 0

3 years ago

Read 2 more answers