The sum of the squares of two consecutive odd positive integers is 74. Find the integers.

Answers

Answer 1

Answer: Let first odd number be x

Then that would be $x^2 + (x+2)^2=74$ . We need to solve for x.

$x^2 + (x+2)^2=74\n\ \nx^2 + x^2 + 4x+4 = 74\n\ \n2x^2 + 4x +4=74\n\ \n2x^2+4x-70 = 0\n\ \n2(x^2+2x-35)=0\n\ \n2(x+7)(x-5)=0\n\ \nx=-7\text{ or }5$

But we need positive integers so we would have $\boxed{x=5}$ , so then our integers would be x, x+2 = 5, 7

Check work:

5² + 7² = 25 + 49 = 74.

So our integers would be 5 and 7.

Hope this helps.

Answer 2

Answer: Let’s use a sample set.
Let’s use 5 and 7.
5•5=25
7•7=49
49+25=74
The integers are 5 and 7. The way I found this was by thinking of 9 and 11 at first. I knew that it would be entirely way too much, but 3 and 1 would be too little. 5 and 7 fit in the middle of those two samples.

Your answer is 5 and 7.

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Ernie Rolph borrowed $6150 at 10% annual simple interest. If exactly 1 year later he was able to repay the loanwithout penalty, how much interest would he owe?
Ernie will owe $
in interest.

Show work!

Answers

Answer:

615

Step-by-step explanation:

6150 x 10%

6150 x 0.10 = 615

Answer:

615

Step-by-step explanation:

6150 ÷ 100 = 61.5

61.5 X 10 = 615

6150 X 0.1 = 615

What's the answer? It's not a fraction.

Answers

it would be 10 I'm sure

3/2x = 15
x = 15 *2/3
x = 30/3
x =10

When using 3 letters to make an angle the middle letter is

Answers

X? Not sure what the answer choices are but try that

Jack has a summer job caddying at a golf course. Jack earns $120a week. By rounding his weekly income to the nearest hundred
dollars, find a reasonable estimate for his total income during the
12 week summer.

A) $700
B) $800
C) $1200
D) $1700

Answers

1200 as you would round it down to 100 a week so you would do 100x12

Kjsdfjyrbasdhviurhasiudhvr = ?

Answers

Answer: option A/ eibfjed

Consider the sequence below. 3, 1, 1/3, 1/9,...

select the explicit function which defines the sequence.

A.) f(n) = 1/3 • 2^(n - 1)

B.) f(n) = 2 • (1/3)^(n - 1)

C.) f(n) = 1/3 • 3^(n - 1)

D.) f(n) = 3 • (1/3)^(n - 1)

Answers

ANSWER

The explicit formula that defines the sequence is
$f(n) = 3 ( (1)/(3) ) ^(n - 1)$

EXPLANATION

The given sequence is
$3,1, (1)/(3) , (2)/(9) ,...$

The first term of this sequence is
$a = 3$
We can find the common ratio by expressing a subsequent term over a previous term and simplifying it.

The common ratio is
$r = (1)/(3)$

The formula for finding the nth term of the given geometric sequence is given by,

$f(n) = a {r}^(n - 1)$

We now substitute the value of the first term and the common ratio in to the above formula to obtain,

$f(n) = 3( (1)/(3) )^(n - 1)$

The correct answer is option D.

Answer:

Step-by-step explanation:

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