Solve the absolute value inequality |4x+7|-2|-x-2|≥2x+3

Lorico [155]

Pick two points. For example, (0,3) and (2,4)

First, find the slope:
$\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 } = \frac{ 4 - 3}{ 2 - 0}=\boxed{\bf{ \frac{ 1}{ 2}}}$

The slope is 1/2.

Now we have this much of the equation:

y = 1/2x + b

Plug in the point (0,3) to find the value of b

3 = (1/2)(0) + b
b = 3

Your final equation is y = 1/2x + 3.

6 0

3 years ago

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Five friends share 6 cheesecakes equally. How many cheesecakes will each friend get?

viktelen [127]

Each friend will get 1.83 of a cheesecake.

Or 1 and 83/100 of a cheesecake.

3 0

3 years ago

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Anna set up a lemonade stand on her block over the summer. She recorded each day’s high temperature and the number of cups of le

Alexxx [7]

Answer:

Residual = -2

The negative residual value indicates that the data point lies below the regression line.

Step-by-step explanation:

We are given a linear regression model that relates daily high temperature, in degrees Fahrenheit and number of lemonade cups sold.

$y = -34+ \frac{3}{5} x$

Where y is the number of cups sold and x is the daily temperature in Fahrenheit.

Residual value:

A residual value basically shows the position of a data point with respect to the regression line.

A residual value of 0 is desired which means that the regression line best fits the data.

The Residual value is calculated by

Residual = Observed value - Predicted value

The predicted value of number of lemonade cups is obtained as

$y = -34+ \frac{3}{5} (95)\\\\y = -34+ 3 (19)\\\\y = -34+ 57\\\\y = 23$

So the predicted value of number of lemonade cups is 23 and the observed value is 21 so the residual value is

Residual = Observed value - Predicted value

Residual = 21 - 23

Residual = -2

The negative residual value indicates that the data point lies below the regression line.

7 0

3 years ago

Help PLZ! I am not sure if i chose the right answer

Vikentia [17]

Answer:

5. I agree with your answer choice.

6. 13.3

Step-by-step explanation:

5. You have m∠1 = 90° = m∠2, so it is reasonable to invoke the transitive property. (Step 4 would use "angles with the same measure are congruent" to complete the proof.)

6. The difference in x-coordinates is (4-1) = 3. The difference in y-coordinates is (22-9) = 13. By the Pythagorean theorem, the distance between the points is ...

... √(3² +13²) = √178 ≈ 13.342 ≈ 13.3

6 0

3 years ago

Please answer this question below fast

Licemer1 [7]

Answer:

42 m^2

Step-by-step explanation:

6 0

3 years ago

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