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Ivahew [28]
3 years ago
5

When is the difference between two decimals an integer?

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0
An integer is a whole number, and a decimal is not a whole number, it's like a fraction.
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Find the small positive integer solution that solves the equation. if there is no solution, type NONE.
Degger [83]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The equation can be rewritten to ...

  8x = 13n +4 . . . . for some integers x and n

  x = (13n +4)/8

For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.

  x = (13·4 +4)/8 = 56/8

  x = 7

__

The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.

7 0
3 years ago
Given the function f(x)=(x+3)^2 and g(x)=3x+13 determine the x values of the point intersection
charle [14.2K]

Answer:

x = - 4, x = 1

Step-by-step explanation:

At the point of intersection

f(x) = g(x) , that is

(x + 3)² = 3x + 13 ← expand left side using FOIL

x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

3 0
3 years ago
Why does it make sense to use 660 and 60 to estimate the quotient
Alexxx [7]
What the qoutient sweetheart
5 0
4 years ago
You visit an amusement park with your family over the summer. Each adult ticket costs $45 and each child ticket costs $32. Let '
Gala2k [10]

Answer:

45a + 32c

Step-by-step explanation:

a tickets at $45 per ticket cost 45a

c tickets at $32 per ticket cost 32c

The total cost is

45a + 32c

5 0
3 years ago
A rectangle has a width of 46 centimeters and a perimeter of 208 centimeters. What is the rectangles length
alexdok [17]
208- ( 2* 46)= X
208- 92=2x
x=58

The length is 58cm.

Check by:
58*2 +46*2
116+92= 208
4 0
3 years ago
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