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3 years ago

Which inequality is represented by the graph?

Mathematics

1 answer:

blsea [12.9K]3 years ago

7 0

Answer:

B: 4/5x -2y ≥ 3

Step-by-step explanation:

The first thing I always look for is the y-intercept which in this case is around -1.5 (- $1\frac{1}{2}$ ). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around $\frac{2}{5}$ . So now, your equation is y = $\frac{2}{5}$ x -1 $\frac{1}{2\\}$ . Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ $\frac{2}{5}$ x -1 $\frac{1}{2\\}$ .

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤ $\frac{4}{5}$ x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

3 ≤ $\frac{4}{5}$ x - 2y

$\frac{4}{5}$ x - 2y ≥ 3

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Subtract the fractions and simplify the answer 7 8/9-5 3/5

weeeeeb [17]

One way in which to do this problem would involve subtracting 5 from 7 (result: 2) and then subtracting 3/5 from 8/9.
To subtract 3/5 from 8/9, you'd need to find the lowest common denominator (LCD) of 3/5 and 8/9, convert both fractions to have this LCD, and then subtract.

The LCD is (5)(9)=45. Then 8/9 and 3/5 become 40/45 and 27/45.

Subtracting 27/45 from 40/45 results in the fraction 13/45.
Then the full solution is 2 13/45.

You could also do this problem by converting 7 8/9 and 5 3/5 into improper fractions:

71/9 - 28/5. Again, the LCD is 45. Can you rewrite both fractions with 45 as the common denominator and then perform the subtraction?

4 0

3 years ago

How much is 2000 × 36 =? help my please

PIT_PIT [208]

Answer:

72000 should be your answer

Step-by-step explanation:

Got it off of g o o g l e so it should be right!

4 0

2 years ago

An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

1 year ago

Determine the measure of angle a. PLEASE HELP ASAP!

wlad13 [49]

Answer:

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

$(9x+6)+(74)+(16x)=180\\$