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dusya [7]
3 years ago
5

The sum of three numbers is 12. The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is

59. The difference between 8 times the first number and the second number is 23. Find the three numbers.

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0
A suitable calculator can row-reduce the augmented matrix.

first number: 3
second number: 1
third number: 8

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If your starting salary is 40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars,
Molodets [167]

Answer:

$64188.26

Step-by-step explanation:

→ Calculate the increase in decimal multiplier

( 100 + 3 ) ÷ 100 = 1.03

→ Multiply this by the salary raised to the power of 16

40000 × ( 1.03 )¹⁶

→ Solve

$64188.26

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3 years ago
What is the equation of the line shown in this graph
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Slope = (2+4)/(1-4) = 6/-3 = -2
passing thru (1.2)
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b = y - mx
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b = 2 + 2
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equation
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7 0
3 years ago
(x^2 + 5x + 2) – (5x^2 – x – 2) =
zlopas [31]

Answer:

{ \tt{( {x}^{2} + 5x + 2) - (5 {x}^{2} - x - 2)  }} \\  = { \tt{(1 - 5) {x}^{2}  + (5 + 1)x + (2 + 2)}} \\  = { \tt{ - 4 {x}^{2} + 6x + 4 }} \\  = { \tt{ - 2(2 {x}^{2} - 3x - 2) }}

3 0
3 years ago
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7 0
3 years ago
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The product of two positive integers plus their sum is 95. The integers are relatively prime, and each is less than 20. What is
creativ13 [48]
Let the fist integer be x, the second is x+20
the product of the numbers is:
x(x+20)
the sum of the numbers is:
x+x+20=2x+20
the sum of the above operations will give us:
2x+20+x^2+20x=95
x^2+22x+20=95
this can be written as quadratic to be:
x^2+22x-75=0
solving the above we get:
x=3 and x=-25
but since the integers should be positive, then x=3
the second number is x+20=3+20=23
hence the numbers are:
3 and 23
3 0
4 years ago
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