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Pachacha [2.7K]
3 years ago
10

What are the next 2 terms in the sequence -9,-8,-4, 5, 21, 46,

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

-9,-8,-4, 5, 21, 46,95,159

Step-by-step explanation:

We keep adding the square numbers to the previous terms

-9+1^2=-8

-8+2^2=-4

-4+3^2=5

5+4^2=21

21+6^2=46

The next term is 46+7^2=95

The next one is 95+8^2=159

We got this by observing the pattern

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Find the surface area of the figure.<br> PLEASE HELP!
olya-2409 [2.1K]

Answer:

The total surface area is: 468 in^2  which agrees with answer a)

Step-by-step explanation:

The three lateral faces of the prism are rectangles, and the sums of their areas give:

12 * 10 + 9 * 10 + 15 * 10 = 360 in^2

The area of each triangular base (notice it is a right triangle) is given by:

9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:

Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2

6 0
3 years ago
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

5 0
2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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JulijaS [17]
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My answer is this but I’m not sure

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