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2 years ago

A department store buys 400 shirts at a cost of $9,600 and sell them at a selling price of $30 each.

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

3 0

Answer: where’s the question? You didn’t write any questions:c

Step-by-step explanation:

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What are the possible values of x if (4x - 5)2 = 49? Check all that apply.<br> uw we we

kogti [31]

Answer:

x = - $\frac{1}{2}$ , x = 3

Step-by-step explanation:

Given

(4x - 5)² = 49 ( take the square root of both sides )

4x - 5 = ± $\sqrt{49}$ = ± 7 ( add 5 to both sides )

4x = 5 ± 7, thus

4x = 5 - 7 = - 2 ( divide both sides by 4 )

x = $\frac{-2}{4}$ = - $\frac{1}{2}$

4x = 5 + 7 = 12 ( divide both sides by 4 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - $\frac{1}{2}$

left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution

x = 3

left side = (12 - 5)² = 7² = 49 = right side ⇒ solution

7 0

2 years ago

Slope for y=5,520.619x - 1,091.393

Bad White [126]

Answer:

m = 5,520.619

Step-by-step explanation:

The given equation is :

y=5,520.619x-1,091.393 ....(1)

The general form of equation is given by :

y = mx +c ...(2)

Where

m is slope of line

c is y-intercept

Comparing equation (1) and (2), we get :

Slope, m = 5,520.619

Hence, the slope of the given line is 5,520.619.

3 0

2 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Leni [432]

Answer: $\dfrac{2x^2-1}{x(x^2-1)}$

Step-by-step explanation:

The given function : $y=\ln(x(x^2 - 1)^{\frac{1}{2}})$

$\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}$ [ $\because \ln(ab)=\ln a +\ln b$ ]

$\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}$ [ $\because \ln(a)^n=n\ln a$ ]

Now , Differentiate both sides with respect to x , we will get

$\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1)$ (By Chain rule)

[Note : $\dfrac{d}{dx}(\ln x)=\dfrac{1}{x}$ ]

$\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)$

[ $\because \dfrac{d}{dx}(x^n)=nx^{n-1}$ ]

$=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}$

Hence, the derivative of the given function is $\dfrac{2x^2-1}{x(x^2-1)}$ .

8 0

3 years ago

28+56t+28w to identify the equivalent expressions.<br> Choose 2 answers:

prohojiy [21]

Answer:

28(1 + 2t + w)

Step-by-step explanation:

This polynomial can be factored by factoring out 28.

28 + 56t + 28w = 28(1 + 2t + w)

4 0

2 years ago

Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight

shutvik [7]

Answer:

Brian’s and Kelsey’s cars traveled at the same rate.

Step-by-step explanation:

3 0

2 years ago