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hoa [83]
4 years ago
9

Four times the first of three consecutive even integers is six more than the product of two and the third integer. Find the inte

gers.
Mathematics
1 answer:
Shkiper50 [21]4 years ago
7 0
The solution to this problem is as follows:

1. Assign your variables.

Let X = first integer
X+2 = second integer
X+4 = third integer

*note: multiples of 2 are added because the problem states that they are consecutive even integers.

2. Formulate the equation

4X = 6 + 2(X+4)
X=7

3. Solve other variables

first integer = 7
second integer = 7+2 = 9
third integer = 7+4 = 11

As you can see, the answers are all odd which means that the given information in the problem should say odd, not even. 
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If K(x) = |x-3| + x, find k(4)
swat32

Answer:

5

Step-by-step explanation:

First do substitution,

Which means |(4)-3|+4

Therefore 1+4=5

7 0
3 years ago
Write an equation to represent each function.
JulsSmile [24]

Answer:

Ques 1 - y=2x+1

Ques 2 - y=12x+2

Step-by-step explanation:

Ques 1: From the table, we see the relation,

5 = 2 × 2 + 1

9 = 2 × 4 + 1

13 = 2 × 6 + 1

17 = 2 × 8 + 1

21 = 2 × 10 + 1

That is, the relation from the table is given by, y=2x+1, where x is the input and y is the output.

Hence, the required equation is y=2x+1.

Ques 2: From the table, we see that,

2 = 12 × 0 + 2

14 = 12 × 1 + 2

26 = 12 × 2 + 2

38 = 12 × 3 + 2

50= 12 × 4 + 2

That is, the relation from the table is given by, y=12x+2, where x is the input and y is the output.

Hence, the required equation is y=12x+2.

3 0
3 years ago
Logan opened a savings account 21 years ago with a deposit of $3,471.52. The account has an interest rate of 3.1% compounded mon
notka56 [123]
P = $3,471.52, the principal
r = 3.1% = 0.031, annual ratr
n = 12, monthly compounding
t = 21 years

Note that n*t = 252.

The value after 21 years is
A = 3471.52*(1 + 0.031/12)²⁵²
   = $6,650.91

The interest earned is
6650.91 - 3471.52 = 3179.39

Answer: $3,179.39
8 0
3 years ago
If f(x) = x^2 - 2x and g(x) = 6x + 4, for what value of x does (f + g)(x) = 0?
larisa86 [58]

Answer:

x = -2

Step-by-step explanation:

f(x) =x^2 -2x\:\: and \:\: g(x) = 6x + 4\\(f+g)(x) = f(x) + g(x) \\(f+g)(x) = x^2 -2x+ 6x + 4\\(f+g)(x) = x^2+4x + 4\\(f+g)(x) = (x+2)^2\\ 0 = (x+2)^2...[\because (f+g)(x) =0]\\0 = x+2\\\therefore x = -2

6 0
3 years ago
Read 2 more answers
What is 7 10ths minus 4 10ths
Taya2010 [7]
3 10ths
you minus the the 7 and the 4 the 10th stay the same
7 0
3 years ago
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