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Natasha2012 [34]
3 years ago
10

Find 4 consecutive odd integers where the product of the two smaller numbers is 64 less than the product of the two larger numbe

rs.
Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
Odd number is: (2n-1), (2n+1), (2n+3), (2n+x),... where x x changes every two
(2n-1)(2n+1)=(2n+3)(2n+5)-64
4n^2-1=4n^2+10n+6n+15-64
16n=48|:16
n=3
Now we substitute to (2n-1), (2n+1), (2n+3), (2n+5):
2n-1 = 2*3-1=5
2n+1 = 2*3+1=7
2n+3 = 2*3+3=9
2n+5 = 2*3+5=11
5,7,9,11
vagabundo [1.1K]3 years ago
6 0
If there are such numbers, then they can be written as 'x', (x + 2), (x + 4), and (x + 6).

Now, the problem says that  x(x+2) + 64 = (x+4) (x+6)

Expand each side:

x² + 2x + 64 = x² + 10x + 24

Subtract (x² + 24) from each side:

2x + 40 = 10x

Subtract 2x from each side:

40 = 8x

Divide each side by 8 :

x = 5

The numbers are <u>5, 7, 9, and 11</u>.

(5 x 7) + 64 = 35 + 64 = 99  and  9 x 11 = 99 .    yay !
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I need help with this I don't understand this math
Dmitriy789 [7]

The exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

<h3>What is correlation?</h3>

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}

We have data shown in the table:

We can find the exponential regression equation using the data shown.

\rm y = ab^x

After calculating from the data:

a = 172.21 and b = 0.99

\rm y = 172.21(0.99)^x

The correlation coefficient will be:

r = -0.99

The range will be all real numbers.

The domain will be y > 0

As we can see in the graph x ∈R and y>0

After an hour,

Plug x = 60 minutes in the exponential regression equation:

\rm y = 172.21(0.99)^{60}

y = 94.22 degree Fahrenheit

After 4 hours, plug x = 240

\rm y = 172.21(0.99)^{240}

y = 15.43 degree Fahrenheit

 

Similarly, we can find any data from the exponential regression equation.

Thus, the exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1

7 0
2 years ago
Why is it important for a rainy-day fund to be highly liquid? A. Funds need to earn a high rate of return. B. Funds need to be e
Gnoma [55]

Answer: B. Funds need to be easily accessible

This is so you can access it easily without paying a penalty

4 0
2 years ago
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HELP WITH ONE MORE!!!!!!!!
Alexxx [7]

Answer:

f(x + 3) = (4x + 13)/(x - 3)

Step-by-step explanation:

If f(x) = (4x + 1)/(x - 6)

then in f(x + 3)...js replace x with (x + 3)...

f(x + 3) = (4(x + 3) + 1)/(x + 3 - 6)

;f(x + 3) = (4x + 13)/(x - 3)

3 0
3 years ago
A right triangle has one leg with a length of 48 and a hypotenuse with a length of 50. HELPPPPPP
makkiz [27]

Answer:

14 is the length of the missing side.

Step-by-step explanation:

Use pythagorean theorem.

48^{2}+b^{2}=50^{2}

2304+b^{2}=2500

\sqrt{b^{2}}=\sqrt{196}

b=14

3 0
3 years ago
Read 2 more answers
2.48 rounded to the nearest cent
aleksklad [387]

Answer:

2

Step-by-step explanation:

.48 rounds down

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8 0
3 years ago
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