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sesenic [268]
3 years ago
13

Instructions: Write the equation of the line in Point-Slope Form given the information below. Hint: The y-intercept is the

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

<h2>           y - 2 = -⁶/₅x</h2>

Step-by-step explanation:

The point-slope form of the equation of the line passing point <em>(x₁, y₁)</em> and with the slope of <em>m</em> is:  y - y₁ = m(x - x₁)

m = -⁶/₅

Y-Intercept = 2  ⇒  point (0, 2)  ⇒  x₁ = 0,  y₁ = 2

Point-Slope Form:  <u>  y - 2 = -⁶/₅(x - 0)</u>

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Michelle and her roommate rent an apartment for $798 a month. Each of them pays half. Because there are about 4 weeks in a month
matrenka [14]

Answer:

yes

Step-by-step explanation:

half of $798 is $399. $100 a week × 4 = $400. 400 is very close to 399, so yes it would be a food estimate. Hope this helps! :)

7 0
2 years ago
2.the solution set of x +y =5 and x-y =3
Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

6 0
3 years ago
Question 10
kozerog [31]

The regular selling price per unit for the laptop is $298.6.

<h3>How to calculate the price?</h3>

Let the regular price per unit be x.

The expense is 19% of the selling price and profit is 25% of the selling price. This will be illustrated as:

x + (19% × x) + (25% × x) = 430

x + 0.19x + 0.25x = 440

1.44x = 430

Divide

x = 430 / 1.44

x = 298.6

The price is $298.6

Learn more about cost on:

brainly.com/question/25109150

#SPJ1

7 0
1 year ago
Isaac invested $460 in an account paying an interest rate of 2.4% compounded daily. Assuming no deposits or withdrawals are made
allochka39001 [22]

Answer:

t =17 years

Step-by-step explanation:

The formula for interest

A = P(1+ r/n)^ nt

where a is the amount in the account , p is the principal, r is the rate, n is the number of times compounded per year and t is the time in years

Substituting in what we know

690 = 460 ( 1+ .024/365)^ 365t

690/460 = ( 1+ .024/365)^ 365t

1.5 = ( 1+ .024/365)^ 365t

Taking the log of each side

log(1.5) = 365t log( 1+ .024/365))

Dividing each side by( 1+ .024/365)

log(1.5)/ log( 1+ .024/365) = 365t

divide each side by 365

1/365 log(1.5)/ log( 1+ .024/365)  =t

t =16.8949

To the nearest year

t =17

4 0
3 years ago
Read 2 more answers
Add 20 and 12, then, raise the sum to the 2nd power.
zubka84 [21]
The answer to the question they gave you is D
4 0
2 years ago
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