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3 years ago

3x = 2x + 18 : slove the equation

Mathematics

2 answers:

erastovalidia [21]3 years ago

6 0

Answer:

Step-by-step explanation:

3x = 2x + 18

3x - 2x = 18

x = 18

Romashka [77]3 years ago

3 0

Answer:

3x= 2x+18

3x-2×=2×-2×+18

×=18

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Given the function h(x)=x^2-7x+6h(x)=x

Goryan [66]

Answer:

$0$ (no change)

Step-by-step explanation:

Recall that the average rate of change of a function $f(x)$ over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$ :

$\frac{h(b)-h(a)}{b-a}\\ \\\frac{h(6)-h(1)}{6-1}\\\\\frac{0-0}{5}\\ \\0$

Hence, the average rate of change of the function $h(x)$ over the interval $[1,6]$ is $0$ , or no change.

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2 years ago

The organizers of a walkathon get cost estimates from two printing companies to print brochures to advertise the event. The cost

Jlenok [28]

About 15.35 brochures were printed use in company b

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3 years ago

Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. Afte

natka813 [3]

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

$N \to$ Number of balls

For a box, the probability that there are N balls in it is:

$Pr = 0.5^N$

For 2 boxes, it is:

$Pr = 2 * 0.5^N$

From the question, we have:

$\frac{80}{10000} \to$ Favorable outcome

To solve for N, we have:

$2 * 0.5^N = \frac{80}{10000}$

$2 * 0.5^N = 0.008$

Divide both sides by 2

$0.5^N = 0.004$

Take log of both sides

$\log(0.5^N) = \log(0.004)$

Apply law of logarithm

$N\log(0.5) = \log(0.004)$

Make N the subject

$N = \frac{\log(0.004)}{\log(0.5)}$

$N =7.966$

Approximate

$N = 8$

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

$Balls \approx \frac{N}{2}$

$Balls \approx \frac{8}{2}$

$Balls \approx 4$

<em>4 balls in each box</em>

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Orlov [11]

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4 years ago