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butalik [34]
3 years ago
7

Will mark brainleist

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

x=5.834729, rounded down to 5.83

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Use CALCULUS to find coordinates of the turning point on C.
antiseptic1488 [7]
Oi 

Just calculating the differential. Step by step:

y=12 \sqrt{x} -x \frac{3}{2}-10 \\  \\ y=12x^{ \frac{1}{2} } -x \frac{3}{2}-10 \ \ \ \boxed{transform \  \sqrt{x} =x^{ \frac{1}{2} }}  \\  \\  Differentiating \\  \\ y'=12. \frac{1}{2}.x^{ \frac{1}{2}-1 } -1.x^{1-1}. \frac{3}{2}-0 \\  \\  y'=6.x^{ -\frac{1}{2} } -x^{0}. \frac{3}{2} \\  \\  y'=6. \frac{1}{x^{ \frac{1}{2} }}  -1. \frac{3}{2}  \\  \\  \boxed{y'=\frac{6}{ \sqrt{x} }  -\frac{3}{2}}

If you want to know where the tangent has no slope:

\frac{6}{ \sqrt{x} } - \frac{3}{2} =0 \\  \\  \frac{6}{ \sqrt{x} } = \frac{3}{2}  \\  \\ 3 \sqrt{x} =12 \\  \\  \sqrt{x} = \frac{12}{3}  \\  \\  \sqrt{x} =4 \\  \\   (\sqrt{x})^2 =4^2 \\  \\ x=16
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3 years ago
What numbers are the best estimates for 2361 minus 1202
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What is the answer to 5(6x-3)
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Step-by-step explanation:

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Read 2 more answers
Question 7 of 10
astra-53 [7]

The correct answer is option D which is 0.798

The complete question is given below:-

For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x gets larger?

a.) 1.526

b.) 1.798

c.) 2.526

d.) 0.798

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Since we know that an exponential function is in the form:y= ab.^x where,

a= Initial value,

b = For growth b is in form (1+r), where r is the rate in decimal form.

b = For decay or regression b is less than 1 and in form (1-r), where r is the rate in decimal form.

Upon looking at our given choices we can see that options a, b and c are in form 1+r, while the choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.

Therefore the correct answer is option D which is 0.798

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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3 years ago
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