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3 years ago

Find ordered pair that is solution for liner equation 4x - 5y=20

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

Answer:

(0,-4) (5,0)

Step-by-step explanation:

4x-5y=20

First, we must put the equation into slope intercept form: y= mx+b

5y=4x-20=y=4/5x-4

The y intercept, by definition, is b. In this scenario, b is -4.

One ordered pair that works is (0,-4).

Also, we can find the ordered pair for the x intercept. By definition, the x intercept is the value of x when y equals zero. hence, we substitute 0 for y and then we can find an ordered pair that works and solve for x!:

0=4/5(x)-4= 4=4/5x
4x=20
x=5

Therefore, (5,0) works as well!

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Karen set her watch 1 second behind, and it falls behind another 2 seconds every day. How many days has it been since Karen last

Kay [80]

Answer:

The equation to find the answer is $9=1+(n-1)2$ .

It has been 5 days since Karen has set her watch.

Step-by-step explanation:

Given:

Karen set her watch 1 second behind

So we will consider;

First term 'a' = 1 second

Also Given :

it falls behind another 2 seconds every day.

So we can consider;

Common difference = 2

We need to find number of days it has been 9 seconds since Karen last set her watch

Solution:

Let number of days be represented by 'n'.

Also Let $T(n) = 9$

Now By Applying formula for Arithmetic Progression we get;

$T(n)=a+(n-1)d$

Substituting the given values we get;

$9=1+(n-1)2$

Hence The equation to find the answer is $9=1+(n-1)2$ .

On Solving the above equation we get;

Subtracting both side by 1 we get;

$9-1=1+(n-1)2-1\\\\8=(n-1)2$

Now Dividing both side by 2 we get;

$\frac{8}{2}=\frac{(n-1)2}{2}\\\\4=n-1$

Adding 1 on both side we get;

$4+1=n-1+1\\\\n=5$

Hence It has been 5 days since Karen has set her watch.

3 0

4 years ago

Rico’s backpack weighed 3.6 pounds. Then he added his school books which weighed an additional 24.76 pounds. How much did Rico’s

Maru [420]

I would add, the weight of the backpack and the weight of the school books which is 28.36.

So Rico's backpack altogether weighs 28.36.

I'm pretty sure.

6 0

4 years ago

Find the value of x. 2(x-3)-17=13-3(x+2)

Nonamiya [84]

Solve your equation step-by-step.

2(x−3)−17=13−3(x+2)

Simplify both sides of the equation.

2(x−3)−17=13−3(x+2)

Simplify

2x−23=−3x+7

Add 3x to both sides.

2x−23+3x=−3x+7+3x

5x−23=7

Add 23 to both sides.

5x−23+23=7+23

5x=30

Divide both sides by 5.

5x/5 = 30/5

x=6

5 0

4 years ago

Read 2 more answers

A. How many hours did Marcus work for the week? (5 points)

Dahasolnce [82]

The answer is C you’re welcome.

7 0

3 years ago

Part 1. Please show work. Please assist me with these math problems.

Vitek1552 [10]

Answer: 1) 2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784

2) 2,490,924

3) Neither

<u>Step-by-step explanation:</u>

$S_n=S_{n-2}\cdot (S_{n-1}-1)\quad \\\\S_1=2\quad given\\S_2=3\quad given\\S_3=S_1(S_2-1)\quad =2(3-1)\quad =4\\S_4=S_2(S_3-1)\quad =3(4-1)\quad =9\\S_5=S_3(S_4-1)\quad =4(9-1)\quad =32\\S_6=S_4(S_5-1)\quad =9(32-1)\quad =279\\S_7=S_5(S_6-1)\quad =32(279-1)\quad =8,896\\S_8=S_6(S_7-1)\quad =279(8896-1)\quad =2,481,705\\S_9=S_7(S_8-1)\quad =8896(2481705-1)\quad =22,077,238,784$

$\sum^8_{k=1}S_k\\\\=S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8\\\\= 2,490,924\\$

Neither

Not arithmetic because the difference between each of the terms is not the same.

S₂ - S₁ S₃ - S₂ S₄ - S₃

3 - 2 = 1 4 - 3 = 1 9 - 4 = 5

Not geometric because the ratios between each of the terms is not the same.

$\dfrac{S_2}{S_1}=\dfrac{S_3}{S_2}\qquad \rightarrow \dfrac{3}{2}=\dfrac{4}{3}\qquad \rightarrow \text{cross multiply to get}: 9\neq 8$

8 0

3 years ago