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3 years ago

Is y = |x + 3| a linear function yes or noO

Mathematics

2 answers:

vekshin13 years ago

4 0

Answer:

Yes

Step-by-step explanation:

Because it passes vertical line test.

Nonamiya [84]3 years ago

4 0

Yes, because y = x + 3 is a first degree function which is a linear function. Just ignore the absolute value.

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How do I find dy/dx of the following?

Pachacha [2.7K]

Answer:

$\displaystyle\frac{dy}{dx} \ = \ 3x^{2} \ + \ \displaystyle\frac{1}{2\sqrt{x^{3}}} \ - \ \displaystyle\frac{12}{x^{5}}$

Step-by-step explanation:

$y \ = \ x^{3} \ - \ \displaystyle\frac{1}{\sqrt{x}} \ + \ \displaystyle\frac{3}{x^{4}} \\ \\ y \ = \ x^{3} \ - \ x^{-\frac{1}{2}} \ + \ 3x^{-4} \\ \\ \displaystyle\frac{dy}{dx} \ = \ 3x^{3 \ - \ 1} \ - \ \left(-\displaystyle\frac{1}{2}\right)x^{-\frac{1}{2} \ - \ 1} \ + \ \left(-4 \ \times \ 3\right)x^{-4-1}$

$\displaystyle\frac{dy}{dx} \ = \ 3x^{2} \ + \ \displaystyle\frac{1}{2}x^{-\frac{3}{2}} \ - \ 12x^{-5} \\ \\ \displaystyle\frac{dy}{dx} \ = \ 3x^{2} \ + \ \displaystyle\frac{1}{2\sqrt{x^{3}}} \ - \ \displaystyle\frac{12}{x^{5}}$

5 0

2 years ago

Apply Pythagorean Theorem to find the missing side of a right triangle. ITEM BANK: Move to Top side a = 4 3 side b = 2 10 side b

lara31 [8.8K]

Answer:

Do you have an image for reference?

Step-by-step explanation:

5 0

3 years ago

. A business-woman sold a gas cooker for $1209.60 making a profit of 12% on the cost price. Calculate the cost price of the gas

KiRa [710]

Answer:

$1080

Data given:

selling price (SP): $1209.60

percentage profit: 12%

To calculate out percentage profit

profit% = gain/cost price × 100

gain = selling price - cost price

hence we have:

(1209.60 - cost price)/cost price ×100 = 12

when we cross multiply

we have 12costprice = (1209.60×100)-(100×cost price)

12CP=120960-100CP

collect like terms

12CP+100CP = 120960

112CP=120960

divide both sides by the coefficient of CP

CP = $1080

4 0

3 years ago

An athletic club charges a monthly membership

IceJOKER [234]

Answer: D

Explanation:

Special case:

New membership cost 65 but also free 2 class. However, the cost of a new member who takes x class where x > 2 which mean 2 or more class.

C(x) = 65$ + 15(x - 2)$

7 0

3 years ago

Solve each equation <br>2x + 2+x= -22

vodomira [7]

Answer:

-8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x+2+x=−22

(2x+x)+(2)=−22(Combine Like Terms)

3x+2=−22

Step 2: Subtract 2 from both sides.

3x+2−2=−22−2

3x=−24

Step 3: Divide both sides by 3.

−24

x=−8

3 0

3 years ago

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