Someone help me Please

Mathematics

1 answer:

Aleks [24]3 years ago

5 0

Answer:

Step-by-step explanation:

3+5×5-9÷3×4

3+25-3×4

3+25-12

3+13

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What exponential function is the best fit for the data in the table?

gogolik [260]

Answer: fourth option

$\frac{1}{4} 4^{x-1}-4$

Explanation:

1) the pair x = 3 f(x) = 0, leads you to probe this:

f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0

=> A [4^2] = - C

A[16] = - C

if A = 1/4

16 / 4 = 4 => C = - 4

That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4

2) Now you verify the images for that function for all the x-values of the table:

x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check

x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check

x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.

Therefore, you have proved that the answer is the fourth option.

6 0

4 years ago

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Anyone know how to do this?

IrinaVladis [17]

angle 9 and angle 10 are supplementary. They both add up to 180°.

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3 years ago

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Let N+2 denote the natural numbers greater than or equal to 2. Let mRn if gcd(m, n) > 1. The binary relation R on N2 is

GaryK [48]

Answer:

a) Reflexive, Symmetric, Not Transitive

Step-by-step explanation:

Given $a\in N+2$ we have that $a\ge 2$ and then $\gcd(a,a)=a\ge 2$ thus the binary relation is reflexive. To show that is symmetric note that for $a,b\in N+2$ we have $\gcd(a,b)=\gcd(b,a)$ which implies the symmetric. In fact, the relation is not transitive, for example note that $\gcd(7,7^2)=7$ and $\gcd(5^2,5)$ but $\gcd(7,5)=1$ .