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Arisa [49]
3 years ago
8

Diego is thinking of two positive numbers, if we triple the first number and double the second number the sum is 34. Diego then

says, "if we take half of the first of the first number and double the second number, the sum is 34. What are Diego’s two numbers?
Mathematics
1 answer:
lord [1]3 years ago
4 0

Answer:

1st number: 0

2nd number: 17

Step-by-step explanation:

3x+2y=34 x is the first number, y is the second.

1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.

x+4y=68 solve for x.

x=68-4y add this into the first equation to solve for variable y.

3(68-4y)+2y=34 solve for y.

204-10y=34

-10y= -170

y=17

now to solve for x

x= 68-4(17)

x= 0

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Harlamova29_29 [7]

Answer:

a x^2/2 is a polynomial because the power of x is 2 which is a positive whole number but 2/x^2 is not a polynomial because the power of x is -2 which is negative whole number.

b.in

\sqrt{2 x}

the power if x will be

x   {}^{ \frac{1}{2} }

which is not a whole number so it is not a polynomial.

but in

\sqrt{2} x

the power if x is a positive whole number.so it is a polynomial.

c.the greatest power of variable of the term is called degree of polynomial

4 0
3 years ago
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}​
iren [92.7K]

Answer:

A) a_n = 5n + 2

B) a_n = (2^(n + 1)) - 1

Step-by-step explanation:

A) The sequence is given as;

{7,12,17,22,27,...}

The differences are:

5,5,5,5.

This is an arithmetic sequence following the formula;

a_n = a_1 + (n - 1)d

d is 5

Thus;

a_n = a_1 + (n - 1)5

Now, a_1 = 7. Thus;

a_n = 7 + 5n - 5

a_n = 5n + 2

B) The sequence is given as;

{ 3,7,15,31,63,...}​

Now, let's write out the differences of this sequence:

Differences are:

4, 8, 16, 32

This shows that it is a geometric sequence with a common ratio of 2.

In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15

Thus, a_2 = 2a_1 + 1

Also, a_(2 + 1) = 2a_2 + 1

Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1

Thus; a_n can be expressed as:

a_n = (2^(n + 1)) - 1

7 0
3 years ago
Leanne earned $400 and $550 in interest the last 2 years. How much interest must she earn this year so that her average earnings
polet [3.4K]

Answer:

850

Step-by-step explanation:

400+550+850=1800. 1800/3= 600

3 0
3 years ago
8 cm
Sergio039 [100]

Answer:

320 cm³

Step-by-step explanation:

none of the above

8 × 10 × 4

80 × 4

320 cm³

6 0
2 years ago
Find the value g(-2), where g is defined below.<br> g(x) = 2x^2- 4x – 4
DanielleElmas [232]

Answer:

12

Step-by-step explanation:

For this question, simply plug in -2 for x:

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Hope this helps!!

8 0
3 years ago
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