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Darina [25.2K]
3 years ago
14

The sum of two numbers is 12 and their difference is 20. What is the smaller number?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

16 and -4

Step-by-step explanation:

Let the 2 numbers be x and y with x > y

x+y=12

x-y=20

Adding the 2 equations, term by term on both sides, will eliminate y leaving an equation in x that we can solve

(x+x)+(-y+y)=(12+20)

2x=32

x=16

16+y=12

y=-4

16+-4=12

12=12

16--4=20

20=20

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pantera1 [17]

Answer:

  • 8 3/4
  • 2, 3
  • 4 1/2, 11 1/4
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  • Y/B = 2/3

Step-by-step explanation:

<h3>a)</h3>

The first line is simply the sum of the two given numbers.

  3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4

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To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...

  Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3

Then ...

  Y : B : total = 2 : 3 : 5

This tells you the numbers on the second line are ...

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The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...

  Y = 2(2 1/4) = 4 1/2

  total = 5(2 1/4) = 11 1/4

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The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...

  B = 3(3 1/4) = 9 3/4

  total = 5(3 1/4) = 16 1/4

_____

<h3>b)</h3>

The equation is the one we used to find the values on the second line:

  Y/B = 2/3

7 0
2 years ago
For all the values of x,<br> f(x)=x²+3 g(x)=2x-1 <br> a) find fg(2) <br> b) find gf(2)
erik [133]

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

--------------------------------------------

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

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3 years ago
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Answer and explanation:

We know that this is in slope-intercept form. ( y = mx + b )

1/2 would be the slope (you would use this to graph the next point)

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With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.

3 0
3 years ago
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