All categories

3 years ago

Please help me :(!!!!

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

7 0

Answer:

Step-by-step explanation:

$3x^{5} - 5x^{3} + 2x^{2} - 10x + 4 = 4x^{4} + 6x^{3} - 11\\3x^{5} - 4x^{4} - 11x^{3} + 2x^{2} - 10x - + 15 = 0$

You might be interested in

If x2 = 10, what is the value of x?

JulsSmile [24]

If you mean x^2 then there would be no answer after all, 3^2= 9 and 4^2= 16 so

If you mean 2x then the answer would be 5

Hope I helped?

7 0

3 years ago

Read 2 more answers

Nia solved the equation -1.98 = 5.2v + 13.1. Her answer was v = -2.9. She is fairly confident about her answer, but wants to do

valina [46]

Answer:

substitute for v, when v = -2.9

Step-by-step explanation:

$-1.98=5.2v+13.1$

subtract 13.1 on both sides.

$-15.08=5.2v$

divide by 5.2 to isolate v

$\frac{-15.08}{5.2} = \frac{5.2v}{5.2}$

$-2.9=v$

substitute for v

$-1.98=5.2(-2.9)+13.1$

$-1.98=-15.08+13.1$

$-1.98=-1.98$

6 0

3 years ago

A large fish tank at an aquarium needs to be emptied so that it can be cleaned. When its

VikaD [51]

Answer:

The draining time when only the big drain is opened is 2.303 hours.

The draining time when only the small drain is opened is 5.303 hours.

Step-by-step explanation:

From Physics, we know that volume flow rate ( $\dot V$ ), measured in liters per hour, is directly proportional to draining time ( $t$ ), measured in hours. That is:

$\dot V \propto \frac{1}{t}$

$\dot V = \frac{k}{t}$ (Eq. 1)

Where $k$ is the proportionality constant, measured in liters.

From statement, we have the following three expressions:

(i) <em>Large and small drains are opened</em>

$\dot V_{s}+\dot V_{l} = \frac{k}{2}$ (Eq. 2)

$\frac{\dot V_{s}+\dot V_{l}}{k} = \frac{1}{2}$

(ii) <em>Only the small drain is opened</em>

$\dot V_{s} = \frac{k}{t_{l}+3}$ (Eq. 3)

$\frac{\dot V_{s}}{k} = \frac{1}{t_{l}+3}$

(iii) <em>Only the big drain is opened</em>

$\dot V_{l} = \frac{k}{t_{l}}$ (Eq. 4)

$\frac{\dot V_{l}}{k} = \frac{1}{t_{l}}$

By applying (Eqs. 3, 4) in (Eq. 2) and making some algebraic handling, we find that:

$\frac{1}{t_{l}+3}+\frac{1}{t_{l}} = \frac{1}{2}$

$\frac{t_{l}+t_{l}+3}{t_{l}\cdot (t_{l}+3)} = \frac{1}{2}$

$2\cdot t_{l}+3 = t_{l}^{2}+3\cdot t_{l}$

$t_{l}^{2}-t_{l}-3 = 0$ (Eq. 5)

Whose roots are determined by the Quadratic Formula:

$t_{l,1}\approx 2.303\,h$ and $t_{l,2} \approx -1.302\,h$

Only the first roots offers a solution that is physically reasonable. Hence, the draining time when only the big drain is opened is 2.303 hours. And the time needed for the small drain is calculated by the following formula:

$t_{s} = 2.303\,h+3\,h$