All categories

3 years ago

Which ordered pair is a solution to the equation?

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Please mark me brainliest hope it helps :) the answer is d. (2,1)

You might be interested in

What is the prime factorization of 48

irina1246 [14]

2*2*2*2*3, it's all the prime numbers that make 48 when multiplied together

3 0

3 years ago

Read 2 more answers

Find x, if 36, x, x, 16 are in proportion. please tell fast

Semenov [28]

Step-by-step explanation:

36 : x :: x : 16

16 x 36 = x2

576 = x2

Taking square root on both sides

24 = x

6 0

4 years ago

Read 2 more answers

Roses produced asexually from cuttings are genetically identical to the parent. Roses grown from sexually produced seeds may loo

Ksju [112]

The correct answer would be B. Sexual reproduction does infact create more variation in plants.

7 0

3 years ago

Read 2 more answers

F(x) = lnx/x

My name is Ann [436]

$f(x) = \frac{lnx}{x}$

(a) $f'(x) = \frac{d}{dx}[\frac{lnx}{x}]$
Using the quotient rule:
$f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}$
$f'(x) = \frac{1 - lnx}{x^{2}}$

For maximum, f'(x) = 0;
$\frac{1 - lnx}{x} = 0$
$lnx = 1, x = e$

(b) Deduce:
 $e^{x} \geq x^{e}, x > 0$

Soln: Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
$\frac{ln(e)}{e} \geq \frac{lnx}{x}$
$\frac{1}{e} \geq \frac{lnx}{x}$ , since ln(e) is simply equal to 1

Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
$\frac{x}{e} \geq lnx$
$x \geq elnx$
$x \geq ln(x^{e})$

Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
$e^{x} \geq e^{ln(x^{e}})$
$e^{x} \geq x^{e}$ , as required.

3 0

3 years ago

The price of a cup coffee was 2.40 yesterday. Today, the price fell to 2.15 find the percentage decrease. Round the answer to th

irakobra [83]

ANSWER

The percentage decrease is 10.4%.

EXPLANATION

To calculate percentage decrease, use the formula,

Percentage decrease

$= \frac{new \: price - old \: price}{old \: price} \times 100\%$

Yesterday the price of coffee was 2.40. This is the old price.

Today the price is 2.15. This is the new price.

$= \frac{2.15 - 2.40}{2.40} \times 100\%$

$= \frac{ - 0.25}{2.40} \times 100\%$

$= - 0. 10416667 \times 100\%$

$= - 10.416667\%$

To the nearest tenth, we have:

$- 10.4\%$

Therefore the percentage decrease is 10.4%.

8 0

3 years ago