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4 years ago

Solve for x 19. 20. 21. 22. 23. 24.

Mathematics

1 answer:

VARVARA [1.3K]4 years ago

3 0

Answer:

I hope I helped sorry l didn't understand question number 19

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A box of a dozen fruit tarts cost $15.00.What is the cost of one fruit tart

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Read 2 more answers

4) Which expression is equivalent to (-4x+3y-5)2 ?

mafiozo [28]

Answer:

-8x + 6y - 10

Step-by-step explanation:

first, distribute (multiply) the 2 to eliminate the parentheses to get:

2(-4x) + 2(3y) - 2(5) which simplifies to:

-8x + 6y - 10

since the above expression has three terms, none of which are 'like', this is as simplified as it can be

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3 years ago

Which of the following describes the domain of the piecewise function g of x is equal to the piecewise function of the quantity

yuradex [85]

The domain of the function is given by (–∞, –3) ∪ (–3, 2) ∪ (2, ∞)

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The function is given by:

$g(x) = \frac{x^2 + 3x}{x^2 + x - 6}, x < 3$

$g(x) = \log_{2}{x + 5}, x \geq 3$

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For the second definition, the restriction is that x + 5 has to be positive. Since the definition is only valid for $x \geq 3$ , this will always be true.
In the second definition, the denominator cannot be zero, thus the zeros of the denominator will be outside the domain.

These zeros are found using Bhaskara, we have the quadratic function $x^2 + x - 6 = 0$ , thus the coefficients are $a = 1, b = 1, c = -6$ .

$\Delta = b^2 - 4ac = (1)^2 - 4(1)(-6) = 25$

$x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-1 + 5}{2} = 2$

$x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-1 - 5}{2} = -3$

Thus, x = 2 and x = -3 are outside the domain, which is given by:

(–∞, –3) ∪ (–3, 2) ∪ (2, ∞)

A similar problem is given at brainly.com/question/13136492

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3 years ago