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solong [7]
3 years ago
13

For two odd consecutive numbers, seven times the first number is 1 more than six times the greater number. What is the sum of th

ose numbers?
Mathematics
1 answer:
Anon25 [30]3 years ago
8 0

9514 1404 393

Answer:

  28

Step-by-step explanation:

Let x represent the even number between them. Then the desired sum is 2x.

The given relation is ...

  7(x -1) = 1 +6(x +1)

  x = 14 . . . . . . . add 7-6x

 2x = 28 = sum of those numbers

__

The two numbers are 13 and 15.

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Find g(x) where g(x) is the translation 3 units right of f(x)=x^2
Fed [463]

Answer:

  g(x) = x^2 -6x +9

Step-by-step explanation:

A function f(x) translated right h units and up k units will become ...

  g(x) = f(x -h) +k

You want the function f(x) = x^2 to be translated right h=3 units, so it will become ...

  g(x) = f(x -3) = (x -3)^2

  g(x) = x^2 -6x +9

6 0
3 years ago
The Palace of Peace and Accord in Astana, Kazakhstan, was built in 200620062006. The building has a square right pyramid structu
Anastaziya [24]

Answer: h= 69.3m

Step-by-step explanation:

The correct values in the question are:

year : 2006, length 62, vertical height 62.

So, the measure asked is called slant height . we have to apply the formula:

sh = √(vh^2 + [L/2]^2)

Where:  

vh= vertical height

L= length of a side of the square base

Replacing with the values given:

sh= √(62^2 + [62/2]^2)

sh = √(3,844 + 31^2)

sh= √(3,844 + 961)

sh = √4,805

hs= 69.31 =69.3 m (nearest tenth)

Since in the question that height is called h, h= 69.3

3 0
3 years ago
The 3rd and 6th term of a geometric progression are 9/2 and 243/16 respectively find the first term, common ratio, seventh term​
sashaice [31]

Answer:

Hello,

Step-by-step explanation:

Let\ (u_n)\ the\ geometric\ progression.\\\\r\ is\ the\ common\ ratio.\\\\u_3=u_0*r^3\\u_6=u_0*r^6\\\\\dfrac{u_6}{u_3} =r^3=\dfrac{\frac{243}{16} }{\frac{9}{2} } =\dfrac{27}{8} =(\frac{3}{2} )^3\\\\\boxed{r=\dfrac{3}{2} }\\\\\\u_3=u_1*r^2 \Longrightarrow\ u_1=\dfrac{u_3}{r^2} =\dfrac{\frac{9}{2} }{(\frac{3}{2^2}) } =2\\\\\\u_7=u_6*\dfrac{3}{2} =\dfrac{729}{32}

5 0
3 years ago
If a= 5^99 x 2^98 and b= 5^72 x 4^38 show ab has 172 digits when written as a ordinary number
Nonamiya [84]

Step-by-step explanation:

ab

= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)

= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²

= 2¹⁷⁴ * 5¹⁷¹

= 2³ * (2¹⁷¹ * 5¹⁷¹).

The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.

And there is a 8 infront as 2³ = 8.

Hence altogether there are 171 + 1 = 172 digits.

5 0
3 years ago
HELP??????? I DO NOT UNDERSTAND
Anika [276]

Answer:

y ≥ 1, (meaning y can be greater than 1/infinite numbers or just 1)

x ≥ 2, (meaning x can be greater than 2/infinite numbers or just 2)

4 0
3 years ago
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