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Furkat [3]
3 years ago
11

What is the answer to 5.09x15

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

5.09 times 15 equals 76.35

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A line with slope
spayn [35]

Answer:

(0, 8/3) = y-intercept

Step-by-step explanation:

I chose to find the y-intercept since it is easy to find with the given information.

The equation for a line is y = mx + b

To find the y-intercept, we must plug in the info we have and solve for b:

4 = -1/3 (-4) + b

4 = -4/3 + b

8/3 = b

To find a point on the line, you also could have added -1 to 4 and 3 to -4 since slope means rise/run or change in y/change in x:

(y - 1) / (x + 3) = (4 - 1) / (-4 + 3) = (3, -1) (flip since it's the y and x coordinate) = (-1, 3)

6 0
2 years ago
How many solutions does the equation have, x1 + x2 + x3 = 10 , where x1 , x2, and x3 are non-negative integers?
MAVERICK [17]

Non-negative integers are positive integers or zero.

1. When x_1=0, then there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=10;
  • x_2=1,\ x_3=9;
  • x_2=2,\ x_3=8;
  • x_2=3,\ x_3=7;
  • x_2=4,\ x_3=6;
  • x_2=5,\ x_3=5;
  • x_2=6,\ x_3=4;
  • x_2=7,\ x_3=3;
  • x_2=8,\ x_3=2;
  • x_2=9,\ x_3=1;
  • x_2=10,\ x_3=0.

In total 11 solutions for x_1=0.

2. For x_1=1, there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=9;
  • x_2=1,\ x_3=8;
  • x_2=2,\ x_3=7;
  • x_2=3,\ x_3=6;
  • x_2=4,\ x_3=5;
  • x_2=5,\ x_3=4;
  • x_2=6,\ x_3=3;
  • x_2=7,\ x_3=2;
  • x_2=8,\ x_3=1;
  • x_2=9,\ x_3=0.

In total 10 solutions for x_1=1.

3. This process gives you

  • for x_1=2 - 9 solutions;
  • for x_1=3 - 8 solutions;
  • for x_1=4 - 7 solutions;
  • for x_1=5 - 6 solutions;
  • for x_1=6 - 5 solutions;
  • for x_1=7 - 4 solutions;
  • for x_1=8 - 3 solutions;
  • for x_1=9 - 2 solutions;
  • for x_1=10 - 1 solution.

4. Add all numbers of solutions:

11+10+9+8+7+6+5+4+3+2+1=66.

Answer: there are 66 possible solutions (with non-negative integer variables)

8 0
3 years ago
Read 2 more answers
One line passes through the points (-7,5)
Studentka2010 [4]

Answer:

1. (-7, 5 ) and (-1, 3)

(3-5)/(-1+7)= -2/6 = -1/3

y - 5 = (-1/3)(x + 7)

y - 5 = (-1/3)x - 7/3

y - 15/3= (-1/3)x - 7/3

y = (-1/3)x + 8/3

2. (-1-3)/(3-0)= -4/3

y + 3 = (-4/3)(x + 1)

y + 3 = (-4/3)x - 4/3

y + 9/3 = (-4/3)x - 4/3

y = (-4/3)x + 5/3

the answer is neither

7 0
3 years ago
Can u answer fast please
Gnesinka [82]

C. e

Step-by-step explanation:

ln( {e}^{e} )  = e ln(e )  = e(1) = e

6 0
2 years ago
Julie rides her bike form the sports complex to school. the she rides from the school to the mall, and then to the library. kyle
Svetllana [295]
Between the two persons presented above, Julie had ridden farther. This is because from the routes she had taken, she would be covering greater distance compared to Kyle. Julie still ad to ride from the complex to school. 
6 0
3 years ago
Read 2 more answers
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