3 years ago

Write an algebraic expression for the phrase "thirty less than the product of a number y and four".

Mathematics

2 answers:

zzz [600]3 years ago

8 0

Answer:

30-(y*4)

Step-by-step explanation:

replace thirty with 30. less than is - (minus). the product of a number y and four. replace four with 4. the product is the answer of the multiplication problem. so the multiplication problem here would be y*4. so the full answer is

30-(y*4)

Anarel [89]3 years ago

5 0

Answer: Y * 4 - 30 I believe is the correct expression.

Step-by-step explanation:

30 less is -30 of a number.

The product of Y and 4 looks like Y * 4.

The expression will as a result equal Y * 4 - 30.

It can also look like 4y - 30.

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Use the algebraic procedure explained in section 8.9 in your book to find the derivative of f(x)=1/x. Use h for the small number

Triss [41]

Answer:

By definition, the derivative of f(x) is

$lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

Let's use the definition for $f(x)=\frac{1}{x}$

$lim_{h\rightarrow 0} \frac{\frac{1}{x+h}-\frac{1}{x}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{x-(x+h)}{x(x+h)}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{(-1)h}{x^2+xh}}{h}=\\lim_{h\rightarrow 0} \frac{(-1)h}{h(x^2+xh)}=\\lim_{h\rightarrow 0} \frac{-1}{x^2+xh)}=\frac{-1}{x^2+x*0}=\frac{-1}{x^2}$