All categories

3 years ago

Can someone help me out with these?"write a linear equation for line m,n,l,p"

Mathematics

2 answers:

Debora [2.8K]3 years ago

8 0

m: y=-2x+4

slope: 2

2/1=2

Its negative because the line is going down from left to right

y-intercept:

it crosses the y axis at (0,4)

n: y=x-1

slope: 1

1/1=1

Its positive because the line is going up from left to right

y-intercept:

it crosses the y axis at (0,-1)

l: y=4

slope: 0

A vertical line's slope is always 0

y-intercept:

it crosses the y axis at (0,4)

p: x=-4

To find the equation for a horizontal line, you need to find what x always is no matter what.

aniked [119]3 years ago

3 0

Answer:

Step-by-step explanation:

m: y = -2x + 4

n: y = x - 1

l: y = 4

p: x = -4

You might be interested in

P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

3 years ago

Explain how a number and it's reciprocal are related adding 28 ?

asambeis [7]

Step 1. Let x be the number and 1/x be its reciprocal.

Step 2. Then, since the sum of a number and its reciprocal is 25/12.

Step 3. Multiply 12x to both sides of the equation to get rid of the denominators.

Step 4. Subtract 25x to put the equation in quadratic form

4 0

3 years ago

A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu

bonufazy [111]

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

___

The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

6 0

3 years ago

Read 2 more answers

Please help i will mark branliest

mafiozo [28]

Answer:

The answer is d

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Nour and Rana are shopping for a Christmas tree. They are deciding between 222 different types of trees (real and fake) and 444

Leno4ka [110]

Answer:

Both

Step-by-step explanation:

Nour made a tree diagram that is right and Rana made a graph that has all the outcomes and also it is right on khan academy

3 0

3 years ago

Can someone help me out with these?"write a linear equation for line m,n,l,p"​

Can someone help me out with these?"write a linear equation for line m,n,l,p"