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3 years ago

12

How does knowing the slope and y-intercept help you graph and write the equation of a line?

1 answer:

timofeeve [1]3 years ago

3 0

Answer:

It allows to to know y-intercept formula which is used to graph a line.

Step-by-step explanation:

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Please please please help i can't do this anymore

anastassius [24]

Answer:

Photo.

Step-by-step explanation:

A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2

B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.

6 0

3 years ago

1. To test a new package design, a carton of a dozen eggs is dropped from a height of 18 inches. The number of broken eggs is co

scoray [572]

Answer:

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Step-by-step explanation:

A dozen eggs will have 12 individual eggs. Hence the sample space will be whole numbers from 0 to 12

4 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

olga nikolaevna [1]

$f(x_1,\ldots,x_n)=x_1+\cdots+x_n=\displaystyle\sum_{i=1}^nx_i$

${x_1}^2+\cdots+{x_n}^2=\displaystyle\sum_{i=1}^n{x_i}^2=4$

The Lagrangian is

$L(x_1,\ldots,x_n,\lambda)=\displaystyle\sum_{i=1}^nx_i+\lambda\left(\sum_{i=1}^n{x_i}^2-4\right)$

with partial derivatives (all set equal to 0)

$L_{x_i}=1+2\lambda x_i=0\implies x_i=-\dfrac1{2\lambda}$

for $1\le i\le n$ , and

$L_\lambda=\displaystyle\sum_{i=1}^n{x_i}^2-4=0$

Substituting each $x_i$ into the second sum gives

$\displaystyle\sum_{i=1}^n\left(-\frac1{2\lambda}\right)^2=4\implies\dfrac n{4\lambda^2}=4\implies\lambda=\pm\frac{\sqrt n}4$

Then we get two critical points,

$x_i=-\dfrac1{2\frac{\sqrt n}4}=-\dfrac2{\sqrt n}$

or

$x_i=-\dfrac1{2\left(-\frac{\sqrt n}4\right)}=\dfrac2{\sqrt n}$

At these points we get a value of $f(x_1,\cdots,x_n)=\pm2\sqrt n$ , i.e. a maximum value of $2\sqrt n$ and a minimum value of $-2\sqrt n$ .

6 0

4 years ago

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 mile per hour slower than the othe

jeyben [28]

Answer:

12 mph and 16 mph

Step-by-step explanation:

distance = speed * time

56 = s * 2 + (s - 4) * 2

56 = 2s + 2s - 8

56 = 4s - 8

64 = 4s

16 = s

s = 16

s - 4 = 12

5 0

3 years ago

Read 2 more answers

Which figure is not drawn to the scale. PQ and MN are straight lines. Find

adoni [48]

Your answer should be y=38

4 0

3 years ago