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3 years ago

4 + 3x = 3х + 5 4 = 5

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

Answer:

4≠5

There is no solution

Step-by-step explanation:

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Explain why each table determine if y is proportional to x .

lesya692 [45]

Answer:

see explanation

Step-by-step explanation:

If y is proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k divide both sides by x

k = $\frac{y}{x}$

This value must be constant for all ordered pairs, thus

k = $\frac{4}{6}$ = $\frac{2}{3}$

k = $\frac{6}{9}$ = $\frac{2}{3}$

k = $\frac{8}{12}$ = $\frac{2}{3}$

k = $\frac{2}{3}$

Since k is constant for all ordered pairs then y is proportional to x

4 0

3 years ago

Trig: Which complex number's graph is shown?

Andrei [34K]

ANSWER

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

EXPLANATION

The complex number shown has coordinates (2,-2)

$z = 2 - 2i$

The modulus is

$|z| = \sqrt{ {2}^{2} + {( - 2)}^{2} }$

$|z| = \sqrt{ 8} = 2 \sqrt{2}$

The argument is

$\theta= \tan^{ - 1} ( \frac{ - 2}{2} )$

$\theta= \tan^{ - 1} ( -1) = \frac{7\pi}{4}$

The polar form is

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

The first option is correct.

3 0

3 years ago

5+[30-(8-1)² ÷ 11-2²

Xelga [282]

Answer:

26.5454545455

Step-by-step explanation:

6 0

2 years ago

In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population

frez [133]

The equation
                                            P(t) = 1405233 * (1 - 0.011)^(t)
models the population at t years after 2010. Then, when P(t) = 1,200,000, we have
                                 1200000 = 1405233 * (0.989)^t
                                  (0.989)^t = 1200000/1405233
                                                t = log(1200000/1405233)/log(0.989)
                                                t = 14.27 years
This means 14.27 years after 2010. Therefore, the answer to this question is 2024.

7 0

3 years ago

The sum of 2 consecutive integers is 21 what’s the two numbers

aleksklad [387]

Answer:

10 and 11

Step-by-step explanation:

Let the first integer be x.

Then the next one, since it's consecutive, must be (x+1).

The two equals 21. Thus:

$(x)+(x+1)=21$