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Vlad [161]
2 years ago
11

What is the equation of the line that passes through the point (- 2, 0) and has a slope of ? 5/2 ?​

Mathematics
1 answer:
Bond [772]2 years ago
7 0

Answer:

y = 5/2x + 5

Step-by-step explanation:

y = 5/2x + b

0 = 5/2(-2) + b

0 = -5 + b

5 = b

y = 5/2x + 5

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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and
omeli [17]

Step-by-step explanation:

x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\     (given)

Let us consider :

x_{1} = t_{1} + 1

x_{2} = t_{2}

x_{3} = t_{3}

x_{4}  = t_{4}

x_{5} = t_{5}

Now, by substituting the above considerations in the above equation, we get:

t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\

t_{1}  + t_{2} + t_{3} + t_{4} + t_{5} = 20\\

where,

t_{i} \geq 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = _{r}^{n + r}\textrm{C}

                                                      = _{4}^{24}\textrm{C}

                                                      = 10626

Answer :

no. of solutions for the eqn 10626

4 0
3 years ago
Solution to m^2- 36=0
alex41 [277]

Answer:

m=(-6,6)

Step-by-step explanation:

m^2 -36 = 0

Reorder the terms:

-36 + m^2 = 0

Solving for variable 'm'.

 Add '36' to each side of the equation.

-36 + 36 + m^2 = 0 + 36

Combine like terms: -36 + 36 = 0

0 + m^2 = 0 + 36

m^2 = 0 + 36

Combine like terms: 0 + 36 = 36

m^2 = 36

Simplifying

m^2 = 36

Take the square root of each side:

√m^2=+/-√36

m=(+/-)6

m = {-6, 6}

4 0
3 years ago
Find the x-intercepts for the parabola defined by the equation below. y = x2 - 9x + 18
Alla [95]

Answer:

x-intercept:  (6,0), (3,0)

Step-by-step explanation:

I graphed the equation and cannot upload the picture of it

3 0
3 years ago
Read 2 more answers
Hi guys, I need help to solve this. I can’t understand how the percentage is calculated in (a) and (b) and how the rent is calcu
lana [24]

Answers :

  1. (A) 18.33%
  2. (B) 21.65%
  3. (C) about 173.33
  4. (D) i really have no way of finding the angles for you, you could try to find them yourself; or maybe just leave it blank?
<h3>OK, so judging from the bar shown : </h3>

It looks like <u>Rent</u> takes up 1/3 of the space so 33.33..%

It also looks like <u>Loan Repayment</u> + <u>Savings</u> is another 33.33..% but Savings is slightly larger than Loan Repayment so you could just estimate Savings to be 55% and LR to be 45% of the 1/3 space.

  • 55% of 33.33.. = 18.33%
  • 45% of 33.33.. = 14.99%

LR looks equal to <u>Entertainment</u> making it another <u>14.99.</u>

It also looks like Entertainment + Electricity + Groceries = the last 33.33..%

And since we know <u>Entertainment</u> = 14.99 / 45% of 33.33..

Making <u>Electricity and Water</u> <em>ABOUT</em>  35% of 33.33... which is <u>11.66</u>

And Groceries is somehow 20% of 33.33 = <u>6.66</u>

  • Rent = 33.33..%
  • Savings = 18.33%
  • Loan Repayment 14.99%
  • Entertainment 14.99%
  • Electricity and Water 11.66%
  • Groceries = 6.66%
<h3>All of these added together equal <u><em>ABOUT</em></u> 100%</h3>

4 0
3 years ago
Does the graph represent a function?
Marrrta [24]

Answer:

No, it doesn't pass the vertical line test.

5 0
2 years ago
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