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2 years ago

Which is a zero of the function f(x)=3x−12?

Mathematics

1 answer:

N76 [4]2 years ago

3 0

<h3>Answer: x = 4</h3>

==================================================

Explanation:

Replace f(x) with 0 and solve for x.

f(x) = 3x-12

0 = 3x-12

3x-12 = 0

3x = 12

x = 12/3

x = 4 is a zero, aka root, of the function

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

Check:

f(x) = 3x-12

f(4) = 3(4)-12

f(4) = 12-12

f(4) = 0

The answer is confirmed.

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2 years ago

D)) The ratio of the monthly income and expenditure of Sunayana is 5 : 3. If she

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Answer:

Sunayana's income is ₹25000 and expenditures are ₹15000.

Step-by-step explanation:

Let i denote the monthly income and e denote the expenditures.

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Let's multiply both sides by e. This yields:

$i=\frac{5}{3}e$

We know that when the income is <em>increased</em> by 5000 and the expenditures are <em>decreased </em>by 3000, the new ratio is 5:2. So, we can write the following proportion:

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Let's multiply both sides by $(e-3000)$ :

$i+5000=\frac{5}{2}(e-3000)$

Since we know that $i=\frac{5}{3}e$ , substitute:

$\frac{5}{3}e+5000=\frac{5}{2}(e-3000)$

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Substitute 15000 for e. Evaluate:

$i=\frac{5}{3}(15000)=\text{Rs }25000$

So, Sunayana's income is ₹25000 and expenditures are ₹15000.

And we're done!

Edit: Wrong currency, sorry about that!

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3 years ago

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