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2 years ago

Select the correct answer.

Mathematics

1 answer:

Nina [5.8K]2 years ago

7 0

Answer:

D. $x^2 + 3x - 88$

Step-by-step explanation:

Area of rectangle = $length (l) * width (w)$

Length of rectangle = (x - 8)

Width = (x + 11)

Area of rectangle = $(x - 8)(x + 11)$

Expand the expression

$x(x + 11) -8(x + 11)$ (distributive property of multiplication)

$x^2 + 11x - 8x - 88$

Combine like terms

$x^2 + 3x - 88$

Expression for the area of the rectangle = $x^2 + 3x - 88$

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If the Price Elasticity of Demand for a product is -.8, and the product currently sells for $100 per unit, how much will demand

egoroff_w [7]

Answer: Percentage change in quantity would decrease by 12.5%.

Step-by-step explanation:

Since we have given that

Price elasticity of demand = -0.8

Price of each unit = $100

After change, price of each unit becomes = $110

% change in quantity would be

$\dfrac{New-old}{old}\times 100=\dfrac{110-100}{100}\times 100=10\%$

As we know the relation between price, quantity and elasticity.

$e_D=\dfrac{\text{\% change in quantity}}{\text{\%change in price}}\\\\-0.8=\dfrac{10\%}{x}\\\\x=\dfrac{10}{-0.8}\\\\x=-12.5\%$

Hence, Percentage change in quantity would decrease by 12.5%.

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3 years ago

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2 years ago

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Katena32 [7]

Answer:

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3 years ago

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What is the solution to sqrt 17-x=x+3? Show your work.

snow_lady [41]

Answer:

$x=1$

Step-by-step explanation:

Remember:

$(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2$

Given the equation $\sqrt{17-x}=x+3$ , you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

$(\sqrt{17-x})^2=(x+3)^2$

$17-x=(x+3)^2$

Simplifying, you get:

$17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0$

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

$(x-1)(x+8)=0$

Then:

$x_1=1\\x_2=-8$

Let's check if the first solution is correct:

$\sqrt{17-(1)}=(1)+3$

$4=4$ (It checks)

Let's check if the second solution is correct:

$\sqrt{17-(-8)}=(-8)+3$

$5\neq-5$ (It does not checks)

Therefore, the solution is:

$x=1$

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I think it is 25.4100

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