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Firlakuza [10]
3 years ago
7

Given: 2x + 3y = 1470 Convert to slope intercept form to find the slope and y-intercept.

Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

Answer:

Slope = 2/3 and y-intercept = 490


Step-by-step explanation:

2x + 3y = 1470

3y = -2x + 1470

  y = 2/3 x + 490          <----------Slope intercept form


Slope = 2/3 and y-intercept = 490

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I need help with geometry
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Answer:

x= 98

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Step-by-step explanation:

First add 36 and 46. Then subtract the sum (82°) from 180° to get the value of x (98°). Use reflection to realize that x and the angle across from it are the same value. Add 98 to 44. Then subtract the sum (142°) from 180° to get y (38°).

3 0
3 years ago
Which graph represents 2(cos(2 pi/3)+isin(2 pi/3))?
Artyom0805 [142]

Answer:The one with -1. B

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Step-by-step explanation:

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Which graph shows the solution to the inequality -3x-7 &lt;20?​
ki77a [65]

Answer:

x > -9

Step-by-step explanation:

The solution to the inequality is obtained as follows:

-3x -7 < 20

-3x - 7 + 7 < 20 + 7

-3x < 27

-3x/(-3) > 27/(-3)

x > -9

Notice that when you divide by a negative number, the inequality sign changes.

In the picture attached, the graph of the solution s shown. Notice that -9 is not included in the solution.

4 0
3 years ago
A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 2 as in 4, is not
Marizza181 [45]
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.

That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If x_i is the component for state i, then you have

x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16

which means x_2=4x_4=0.64. So the state vector is \mathbf x=(0.2,0.64,0,0.16).
4 0
3 years ago
The judiciary committee at a college is made up of three faculty members and four students. If ten faculty members and 25 studen
Andre45 [30]

Answer:

1,518,000 committees.

Step-by-step explanation:

We have been given that the  judiciary committee at a college is made up of three faculty members and four students. Ten faculty members and 25 students have been nominated for the committee.

We will use combinations for solve our given problem.

^nC_r=\frac{n!}{r!(n-r)!}, where,

n = Number of total items,

r = Items being chosen at a time.

^{10}C_3\cdot ^{25}C_4=\frac{10!}{3!(10-3)!}\cdot \frac{25!}{4!(25-4)!}

^{10}C_3\cdot ^{25}C_4=\frac{10!}{3!*7!}\cdot \frac{25!}{4!*21!}  

^{10}C_3\cdot ^{25}C_4=\frac{10*9*8*7!}{3*2*1*7!}\cdot \frac{25*24*23*22*21!}{4*3*2*1*21!}

^{10}C_3\cdot ^{25}C_4=10*3*4\cdot 25*23*22

^{10}C_3\cdot ^{25}C_4=120\cdot 12650

^{10}C_3\cdot ^{25}C_4=1,518,000

Therefore, 1,518,000 judiciary committees could be formed at this point.

7 0
3 years ago
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