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Vadim26 [7]
2 years ago
11

In what positive integral number base is 231 double 113

Mathematics
1 answer:
ad-work [718]2 years ago
5 0

Answer:

Base 5

Step-by-step explanation:

We want to determine the base at which:

113 X 2 =231

We consider the last number of the result (231).

The base must be a number such that:

3 X 2 will have a remainder of 1.

3 X 2 = 6 = 5 Remainder 1

Therefore:

113 X 2 =231 in positive integral number base 5.

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Find the roots of f(x)=x^2+10x−96
a_sh-v [17]

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0  or  x - 6 = 0

x = -16 or x = 6

6 0
3 years ago
1/(x+4)(x-2)(x-5) excluded values
UNO [17]

Answer:

see explanation

Step-by-step explanation:

The excluded values are any values of x that make the function undefined

Given

\frac{1}{(x+4)(x-2)(x-5)}

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.

(x + 4)(x - 2)(x - 5) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 5 = 0 ⇒ x = 5

x = - 4, x = 2, x = 5 are the excluded values

4 0
2 years ago
Pls help me with this and an explanation
SCORPION-xisa [38]

Answer:

The relationship in this equation is linear, but not proportional. If it was proportional, then replacing x with nx should give ny as the answer. Example:

y = 3x

Replace x with 2x.

y' = 3(2x) = 2(3x) = 2y

y' = 2y

This is proportional. But if you replace x with 2x in

y = 3x + 5,

you will not get 2y for y'. This case is not proportiona

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You take (8x - 6) then add 80 =90 then solve for x
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