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2 years ago

6

The sale tax rate in Brads town is 4.25%. If he buys 3 lamps for 22.49 each and a sofa for 829.99, how much sales tax does he ow

e?

1 answer:

eimsori [14]2 years ago

5 0

Brad should owe $38.16 in taxes, but his total should be $935.96

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8. What is the domain of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D%20%2B20x%2B75%7D" id="TexFormula1" title

antiseptic1488 [7]

Answer:

8. Domain: (-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

9. Domain: [7/13, ∞)

Range: [1, ∞)

Step-by-step explanation:

<u>Question 8</u>

Given rational function:

$f(x)=\dfrac{x}{x^2+20x+75}$

Factor the denominator of the given rational function:

$\implies x^2+20x+75$

$\implies x^2+5x+15x+75$

$\implies x(x+5)+15(x+5)$

$\implies (x+15)(x+5)$

Therefore:

$f(x)=\dfrac{x}{(x+15)(x+5)}$

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.

The function is <u>undefined</u> when the <u>denominator equals zero</u>:

$x+15=0 \implies x=-15$

$x+5=0 \implies x=-5$

Therefore, there are <u>vertical asymptotes</u> at x = -15 and x = -5.

<u>Domain</u>: set of all possible input values (x-values)

Therefore, the <u>domain of the given rational function</u> is:

(-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

---------------------------------------------------------------------------------

<u>Question 9</u>

Given function:

$f(x)=\sqrt{13x-7}+1$

<u>Domain</u>: set of all possible input values (x-values)

As the <u>square root of a negative number</u> is <u>undefined</u>:

$\implies 13x-7\geq 0$

$\implies 13x\geq 7$

$\implies x\geq \dfrac{7}{13}$

Therefore, the <u>domain of the given function</u> is:

$\left[\dfrac{7}{13},\infty\right)$

<u>Range</u>: set of all possible output values (y-values)

$\textsf{As }\:\sqrt{13x-7}\geq 0$

$\implies \sqrt{13x-7}+1\geq 1$

Therefore, the <u>range of the given function</u> is:

[1, ∞)

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1 year ago

A bulletin board can be covered completely by 30 square pieces of paper without any gaps or overlaps. If each piece of paper has

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3 years ago

If, for each mouse, the probability of turning left is 0.5 and the probability of turning right is 0.5, what is the probability

Phoenix [80]

Answer:

.125

Step-by-step explanation:

(.5)^2(.5)^1= .125

Where (.5)^2 is the probability two mice turn left multiplied by (.5) that one of them turns right.

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3 years ago

Solve for v in terms of s, t, u, and w.<br> wv=uts<br><br> v=___

laiz [17]

$wv=uts\implies v=\frac{uts}{w}$

we needed to eliminate w, do so by diving both sides by w and obtain the above result :)

Hope this helps.

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2 years ago

Choose and appropriate data display for the situation. Select all that apply.

Ronch [10]

Answer:4

Step-by-step explanation: i think not sure

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3 years ago