Answer:
The number is 42.
Step-by-step explanation:
Let x be the unknown number.
"two less than a number" is x - 2
Quotient means the result of a division.
(x - 2)/5 = 8
Multiply both sides by 5.
x - 2 = 40
Add 2 to both sides.
x = 42
Answer: The number is 42.
Check.
Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.
Answer:
f(4) =2
Step-by-step explanation:
f(x) = 2х^2 - 30,
Let x=4
f(4) = 2 (4)^2 -30
= 2*16 -30
=32-30
= 2
Answer:

Explanation:
All the shown formulae in the choice list are recursive formulae instead of explicit formulae.
Explicit formulae that represent arithmetic sequences are of the form:
That kind of formula permits to determine any term knowing the first term, the number of the term searched, and the common difference (d).
On the other hand, the recursive formulae let you to calculate one term knowing the previous term and the difference.
In this case, the difference in the number of squares of two consecutive terms is:
- differece = number of squares in the second layer - number of squares in the first layer.
Then, the recursive formula is:
98/7=14
14*17=238
238 is your answer
The quadrilateral adds up to 360 degrees.
the 3 angles given add up to 289 degrees.
subtract the 3 given from 360
360 - 289
71 degrees.
i hope this helped!
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