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2 years ago

Given the function h(x)=-4+6, Find the value of h(-2)

Mathematics

1 answer:

valina [46]2 years ago

4 0

h(x) = -4 + 6

h(x) = 2

h(-2) = 2 because It's a constant function, when you substitute any x-values, you still get the same y-value.

Even if you substitute x = 1000, you still get y = 2.

Therefore, h(-2) = 2

-----------

If you mean h(x) = -4x+6

then h(-2) = 8+6 = 14

therefore, h(-2) = 14 for h(x) = -4x+6

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2 years ago

A) Write the sequence of natural numbers which are multiplied by 3 ?

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Answer:

a) 3, 6, 9, 12, 15,..., $3\cdot n$ , b) 4, 7, 10, 13, 16,..., $3\cdot n +1$ , c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function $f(n) = 3\cdot n$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function $f(n) = 3\cdot n + 1$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) $f(n) = 3\cdot n$

$\Delta f = f(n+1) -f(n)$

$\Delta f = 3\cdot (n+1) -3\cdot n$

$\Delta f = 3$

(ii) $f(n) = 3\cdot n +1$

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2 years ago

-2+4(-x+4)=10 using distributive property and collecting like terms

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Answer:

Step-by-step explanation:

$-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1$

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Step-by-step explanation:

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