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2 years ago

If 4^3x−2 =4^x+1, then x= ? the pic looks better

Mathematics

1 answer:

iris [78.8K]2 years ago

3 0

After solving $4^{3x-2}=4^{x+1}$ we get value of x: $x=\frac{3}{2}$

Step-by-step explanation:

We need to solve the equation $4^{3x-2}=4^{x+1}$ and find value of x:

Solving:

$4^{3x-2}=4^{x+1}$

Using the rule: if $if\,\,a^{x}=a^{y}\,\,then\,\,x=y$

Since our base is equal i.e 4 so,

$3x-2=x+1\\3x-x=1+2\\2x=3\\x=\frac{3}{2}$

So, After solving $4^{3x-2}=4^{x+1}$ we get value of x: $x=\frac{3}{2}$

keywords: Solving Exponents

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The photo down below will show you what I need help with.

Irina18 [472]

Answer:

$\frac{x+7}{3}$ (the second option)

Step-by-step explanation:

Hope this helps!

7 0

3 years ago

Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro

Vinvika [58]

Answer:

40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

0.95 probaiblity of hitting a target

This means that $p = 0.95$

10 targets

This means that $n = 10$

What is the probability that he will miss at least one of them?

Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

$P(X = 10) + P(X < 10) = 1$

We want P(X < 10). So

$P(X < 10) = 1 - P(X = 10)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987$

$P(X < 10) = 1 - P(X = 10) = 1 - 0.5987 = 0.401$

40.1% probability that he will miss at least one of them

7 0

2 years ago

Una botella tenía agua hasta de su capacidad. Luego, se agregó litro de agua y la botella quedó llena. Si x representa la capaci

Elena L [17]

Responder:

3 / 4x + 1/2 = x

Explicación paso a paso:

Dado que:

Capacidad total = x

Volumen inicial = cierta fracción * capacidad total

Volumen adicional agregado para llenar = 1/2

Por eso,

Inicial. Volumen + volumen adicional = volumen total

De las opciones:

Un volumen inicial de 3 / 4x

Volumen adicional de 1/2

Volumen total = x

Sumar todo hace que la ecuación:

3 / 4x + 1/2 = x

x - 3 / 4x = 1/2

Por lo tanto, la ecuación correcta de la opción es: 3 / 4x + 1/2 = x

7 0

2 years ago

Question 20 please thank hou

Mekhanik [1.2K]

$\dfrac{9mn-6m}{25-m^2}\div\dfrac{12mn}{5+m}=\dfrac{3m(3n-2)}{5^2-m^2}\cdot\dfrac{5+m}{3m\cdot4n}\\\\=\dfrac{3n-2}{(5-m)(5+m)}\cdot\dfrac{5+m}{4n}=\dfrac{3n-2}{4n(5-m)}\to\boxed{C.}$

8 0

3 years ago

Two students from a group of eight boys and 12 girls are sent to represent the school in a parade.

Deffense [45]

<u>Answer</u>

c. 62/95

<u>Explanation</u>

Probability is the chance of an event happening.

Probability = (favorable outcome)/(total outcome)

P(girl) = 12/20 × 11/19

= (12×11)/(20×19)

= 132/380

= 33/95

P( not a girl) = 1 - 33/95

= 62/95

8 0

3 years ago

Read 2 more answers

If 4^​3x−2​​ =4^x+1, then x= ? the pic looks better ​

If 4^3x−2 =4^x+1, then x= ? the pic looks better