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2 years ago

I need The rate of change

Mathematics

1 answer:

NeTakaya2 years ago

3 0

Answer:

m=4

Step-by-step explanation:

To find the average rate of change, you have to calculate the change in y over x which gives you 4

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B. Determine the values of a and b so that f is continuous. Please help!

wlad13 [49]

Answer:

following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

$\lim_{x\to 2}+f(x) = \lim_{x\to 2}+ (ax^2-bx+3) = 4a-2b+3\\\\ \to 4a-2b+3 = 4\\\\ \therefore \ \ 4a-2b = 1\\\\$

The one-sided limits of F(x) at x = 3 must be equivalent for f(x) to be continuous at x = 3.

$\to \lim_{x\to 3}- f(x) = \lim_{x\to 3}- (ax^2-bx+3) = 9a-3b+3\\\\ \to \lim_{x\to 3}+ f(x) = \lim_{x\to 3}+ (2x-a+b) = 6-a+b\\\\$

So,

$\to 9a-3b+3 = 6-a+b\\\\\therefore\\ \to 10a -4b = 3$

$\to 4a - 2b = 1......(a)\\\to 10a - 4b = 3.......(b)\\$

In equation a multiply the by -2 and then add in the equation b:

$\to -8a + 4b = -2\\\to 10a - 4b = 3\\ \to 2a = 1\\\\ \to a = \frac{1}{2}\\\\ \to \ 4(\frac{1}{2}) - 2b = 1\\\\ \to 2 - 2b = 1\\\\ \to -2b = -1\\\\ \to b = \frac{1}{2}$

So, the value of $a \ and \ b= \frac{1}{2}$

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2 years ago

A pallet of toggle bolts weighs 516 kilogram. If a warehouse has 82 pallets what is their total weight

frutty [35]

Answer:

no se

perdon

Step-by-step explanation:

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3 years ago

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Example The double number line shows the amount of clay Jamal uses to make different numbers of identical bowls. Is there a prop

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Step-by-step explanation:

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2 years ago

In the expression 2x - 8 what is x referred to as?

kobusy [5.1K]

Answer:

Step-by-step explanation:

A) 2x - 8

x is called variable

Option 2

B) 5 - 4x is not a equation

Option 1

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3 years ago

What type of angle is angle R? O A. right O B. acute O C. obtuse O D. straight

tino4ka555 [31]

Answer:

C. obtuse

Step-by-step explanation:

It's wider than a right angle

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