How would you describe domain

Mathematics

1 answer:

irina [24]2 years ago

6 0

Answer:

The domain represents the x-axis, more specifically, what is happening on the x-axis. So when looking at a graph, if you are asked to find the domain think about what the x-axis looks like. I put an image in to show you an example of what the domain would be for a parabola:

So on the left side of the x-axis, we can see that the line stretches out into negative infinity, so the domain would begin at negative infinity.

On the right side of the x-axis, the parabola also stretches into positive infinity, so here the domain would be (negative infinity, positive infinity), because it goes to both ends forever.

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Example 6

lapo4ka [179]

Answer:

The answer is below

Step-by-step explanation:

1. COST Mr. Rivera wants to purchase a riding lawn mower, which is on sale for 15% off the marked price. The store charges sales tax 6.5% on all sales. Write a function p(x) that represents the price after a 15% discount. Write a function t(x) that represents the total cost with sales tax. Write a composition of functions that represents the total cost of a riding lawn mower on sale. How much will Mr. Rivera pay for a riding lawn mower that has a marked price of $3000?

Solution:

a) Let x represent the marked price and p(x) represent the price after discount. Since a discount of 15% is given, the price would be:

p(x) = $x(100\% -15\%)=x(1-\frac{0.15}{100} )=0.85x$

b) If x = discounted price and t(x) = total cost with sales tax, then:

t(x) = $x(100\% +6.5\%)=x(1+\frac{6.5}{100} )=1.065 x$

c) Let t(x) represents the total cost with sales tax

$t[p(x)] =p(x)+6.5\%\ of\ p(x) \\\\t[p(x)] = 0.85x+(0.065*0.85x)\\\\t[p(x)] =0.90525x\\\\for\ x=\$3000:\\\\t[p(3000)] = 0.90525*3000=\$2715.75$

8 0

3 years ago

Given: a = 640, A = 70°, B = 52° in triangle ABC ; find c . Round answers to the nearest whole number. Do not use a decimal poin

telo118 [61]

Law of sines:
$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\\=\frac{640}{\sin 70}=\frac{c}{\sin (180-70-52)}\\\text{ then}\\c=\frac{640}{\sin 70}\sin (180-70-52)\\=577$