What is the slope of the line below?

20.) Which inequality represents the solution on the graph?*<br><br>

VMariaS [17]

Answer:

Option 2

Step-by-step explanation:

You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:

1

. $3x \geq -9\\x \geq -3$

doesn't match

2.

$-7x\geq 21\\x\leq -3$

Does match, so this is the answer.

7 0

3 years ago

The least squares regression line minimizes the sum of the:

lorasvet [3.4K]

Answer:

d) Squared differences between actual and predicted Y values.

Step-by-step explanation:

Regression is called "least squares" regression line. The line takes the form = a + b*X where a and b are both constants. Value of Y and X is specific value of independent variable.Such formula could be used to generate values of given value X.

For example,

suppose a = 10 and b = 7. If X is 10, then predicted value for Y of 45 (from 10 + 5*7). It turns out that with any two variables X and Y. In other words, there exists one formula that will produce the best, or most accurate predictions for Y given X. Any other equation would not fit as well and would predict Y with more error. That equation is called the least squares regression equation.

It minimize the squared difference between actual and predicted value.

3 0

3 years ago

The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time

pickupchik [31]

Answer:

$N_c \approx 5.0$

Step-by-step explanation:

From the question we are told that:

Waiting time for a container of the wheels during production $T_w=0.25day$

Average processing time is $T_a=0.15 day per container$

Wheel per container $N_w=200$

Total wheel per day $D=2000$

Policy variable of $X=5%$

Generally the equation for Total number of container $N_c$ is mathematically given by

$N_c=DT(\frac{1+X}{N_w} )$

Where

Total time $T=T_w+T_a$

$T=0.15+0.25$

Therefore

$N_c=DT(\frac{1+X}{N_w} )$

$N_c=2000*0.40(\frac{1+0.5}{200} )$

$N_c=(\frac{840}{200} )$

$N_c=4.2$

$N_c \approx 5.0$

Therefore the number of Kanban containers needed for the wheels is

$N_c \approx 5.0$

3 0

2 years ago

-3x+18=7x what could you do to isolate the variable term to one side of the equation

Alexxandr [17]

Answer:

7x=−x+24 7 x = − x + 24

Step-by-step explanation:

The equations we solved in the last section simplified nicely so that we could use the. Our strategy will involve choosing one side of the equation to be the variable side, and step by step, to isolate the variable terms on one side of the equation

7 0

3 years ago

Read 2 more answers

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .

Verify that $(x + 2)\, (x + 3)$ indeed expands to the original polynomial:

$\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}$ .

4 0

2 years ago