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Ad libitum [116K]
3 years ago
13

Which of the following numbers are less than or equal to 1.75?

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0
The answer is a b and c
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The Second page answer is C and the first page is  m/c = c/m
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3 years ago
How to evaluate question number 4
ANTONII [103]

There are 2 ways that spring to mind.

One is to use the definition of the derivative at a point:

f'(c)=\displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}

In this case, c=0 and f(x)=\sqrt{5-x}. Then

f'(x)=-\dfrac1{2\sqrt{5-x}}\implies f'(0)=\displaystyle\lim_{x\to0}\frac{\sqrt{5-x}-\sqrt5}x=-\dfrac1{2\sqrt5}

- - -

If you don't know about derivative yet (I would think you do, considering this is for a midterm in AP Calc, but I digress), the other way is to rely on algebraic manipulation. Multiply the numerator and denominator by the conjugate of the numerator to get

\dfrac{\sqrt{5-x}-\sqrt5}x\cdot\dfrac{\sqrt{5-x}+\sqrt5}{\sqrt{5-x}+\sqrt5}=\dfrac{\left(\sqrt{5-x}\right)^2-\left(\sqrt5\right)^2}{x\left(\sqrt{5-x}+\sqrt5\right)}=-\dfrac x{x\left(\sqrt{5-x}+\sqrt5\right)}=-\dfrac1{\sqrt{5-x}+\sqrt5}

This is continuous at x=0, so the limit is the value of the expression at x=0:

\displaystyle\lim_{x\to0}\frac{\sqrt{5-x}-\sqrt5}x=-\lim_{x\to0}\frac1{\sqrt{5-x}+\sqrt5}=-\frac1{2\sqrt5}

5 0
3 years ago
What is a function in algebra
Alborosie

Answer:

function is a relation between sets that associates to every element of a first set exactly one element of the second set.

.....

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equation
y = -4x +1

answer
<span>C.y=-4x+1</span>
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3 years ago
Read 2 more answers
Hollys garden is divided into 5 equal sections. She will fence the garden into 3 areas by grouping some equal sections together.
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I think it will be 2 part of the garden and 3 parts left I really don't know sorry
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3 years ago
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