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Aleksandr-060686 [28]
2 years ago
13

Given the equation, y=3x – 7 what is the slope of the line?

Mathematics
2 answers:
andriy [413]2 years ago
5 0
To solve this, we must understand Slope Intercept Form, or the form that is y=mx+b where "m" is the slope and "b" is the y intercept. Seeing as "m" is the slope, then we know that the slope of y=3x-7 is 3/1 or simply 3.
Natasha_Volkova [10]2 years ago
4 0
<span>y=3x – 7
slope = 3

hope it helps</span>
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A new car that sells for $19,000 depreciates (decreased in value) 21% each year. What is the decay factor, b ?
Aloiza [94]

Answer: 0.79

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4 0
2 years ago
Find all of the polar coordinates of point P if p=(1,-pi/6)
Mama L [17]

Answer:

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n).

Step-by-step explanation:

The polar coordinates can be written as (r,Ф)= (r,Ф+2nn) or (r,Ф) =(-r,Ф+(2n+1)n) and n is any integer value.

We are given p=(1,-pi/6)

P(r,Ф), then r = 1 and Ф = -pi/6

The polar coordinates will be

P(r,Ф)= (r,Ф+2nn)  = (1 , -pi/6 + 2nn) and n is any positive integer and the value of r is positive.

P(r,Ф) =(-r,Ф+(2n+1)n) = (-1, -pi/6+(2n+1)n) and n is any positive integer and the value of r is negative.

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n)

6 0
2 years ago
Read 2 more answers
In the envelope game, there are two players and two envelopes. One of the envelopes is marked ''player 1 " and the other is mark
svetoff [14.1K]

Answer:

Step-by-step explanation:

a) The game tree for k = 5 has been drawn in the uploaded picture below where C stands for continuing and S stands for stopping:

b) Say we were to use backward induction we can clearly observe that stopping is optimal decision for each player in every round. Starting from last round, if player 1 stops he gets $3 otherwise zero if continues. Hence strategy S is optimal there.

Given this, player 2’s payoff to C is $3, while stopping yields $4, so second player will also chooses to stop. To which, player 1’s payoff in k = 3 from C is $1 and her payoff from S is $2, so she stops.

Given that, player 2 would stop in k = 2, which means that player 1 would stop also in k = 1.

The sub game perfect equilibrium is therefore the profile of strategies where both players always stop: (S, S, S) for player 1, and (S, S) for player 2.

c) Irrespective of whether both players would be better off if they could play the game for several rounds, neither can credibly commit to not stopping when given a chance, and so they both end up with small payoffs.

i hope this helps, cheers

5 0
1 year ago
1. tentukan hasil dari 243⅔?
Vesnalui [34]

Penjelasan langkah demi langkah:

1)

= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49

2) √32 +3√18-2√50

= √16*2 +3√9*2-2√25*2

= 4√2 + 3(3√2)-2(5√2)

= 4√2 + 9√2-10√2

= 13√2-10√2

= 3√2

3) 1000 ⅔×64⅙

 = (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6}  \\= 10^2 \times 2\\= 100 \times 2\\= 200

4) 3/4+√2

3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }

5) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

6) 12/3+√3

= 4+√3

7) √1000—2√40

= 10 -2 (√4*10)

= 10-2(2√10)

= 10 - 4√10

8) 2- ¹+3-¹

= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}

9)

\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}

Jika pernyataannya opsional, penyebutnya adalah 1

10) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

7 0
2 years ago
Gabe and Eugenia bought a house! Their loan is for $117,000 , for 15 years at an annual interest rate of 4% . This results in a
cupoosta [38]

Answer:

Principal element is $475.43

Interest payment is $390

Step-by-step explanation:

The amount of interest paid in month one is 4%*$117,000*1/12=$390

The interest is calculated based on the annual interest rate of 4% apportioned to reflect one month interest by multiplying by 1/12

The principal element of monthly payment is the monthly payment minus interest.

principal paid in month one=$865.43-$390=$475.43

Ultimately,$475.43 goes toward reducing her loan balance while the $390 is interest on loan

4 0
2 years ago
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