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g100num [7]
3 years ago
12

How many solutions are there to the equation 10= a + b + c with each of a, b, and c a whole number greater than or equal to zero

?
Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
If <em>a</em> is fixed and <em>b</em>,<em>c</em> are unknowns then the equation <em>b</em>+<em>c</em>=10-<em>a</em> has 11-<em>a</em> solutions. They are pairs (b,c): (0,10-a), (1,9-a), (2,8-a), ... (10-a,0). As <em>a</em> runs from 0 to 10 we have total number of solutions (11-0)+(11-1)+...(11-1)=11+10+...+1=(1+11)*11/2=66.
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What is the value of the expression <br> 7⋅(−5)⋅4?
Masja [62]
Multiply each number. Remember that when multiplying a negative and positive number, the outcome will be negative

7 x -5 = -35
-35 x 4 = -140

-140 is your answer

hope this helps
4 0
3 years ago
Read 2 more answers
The graph shows a reflection in the x-axis. The matrix M such that, for any point (x, y), M(x, y) = (x', y') is
Rashid [163]

Answer:

This is a reflection about the x-axis.


Step-by-step explanation:

A reflection about the x-axis has the rule

[x,y]-> [x,-y].

Therefore

M[x,y] = [x,-y}

Let M=

|a  b|

|c  d|

Then the matrix multiplication gives

ax+by=x.............(1)

cx+dy=-y............(2)

Solving the previous equations (1) and (2) gives

a=1, b=0

c=0, d=-1

giving M as

|1  0|

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4 0
3 years ago
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Elina [12.6K]
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4 0
3 years ago
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Solve this system of equations by any method.<br> 5x + y = -13<br> 4x + 3y= -17
irga5000 [103]
5x + y = -13.....multiply by -3
4x + 3y = -17
-----------------
-15x - 3y = 39 (result of multiplying by -3)
4x + 3y = -17
-----------------add
-11x = 22
x = -22/11
x = -2

5x + y = -13
5(-2) + y = -13
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solution (-2,-3)
5 0
3 years ago
W<br>3:<br><img src="https://tex.z-dn.net/?f=2x%28x%20-%203%29%20%3D%200%20" id="TexFormula1" title="2x(x - 3) = 0 " alt="2x(x -
katrin [286]

Answer:

x = 3, x = 0

Step-by-step explanation:

To solve these factored equations, just divide each part by zero and solve.

2x(x-3) = 0 → (x-3) = 0, and 2x = 0.

(x-3) = 0 → x - 3 + 3 = 0 + 3 → <u>x = 3.</u>

2x = 0 → 2x/2 = 0/2 → <u>x = 0.</u>

5 0
3 years ago
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