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3 years ago

Solve the following exponential equations. 4^x + 7(2^x) + 12 = 0

Mathematics

1 answer:

andrey2020 [161]3 years ago

6 0

Answer:No value of x

Step-by-step explanation:

Given

$4^x+7(2^x)+12=0$

Let $2^x=y$

$y^2+7y+12=0$

$y^2+3y+4y+12=0$

$y(y+3)+4(y+3)=0$

$(y+3)(y+4)=0$

$y=-3,-4$

$2^x=-3$

or $2^x=-4$

so there is no value of x for which $2^x=-3 or -4$

because minimum value of $^x=1$

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Rudik [331]

This problem is a combination of the Poisson distribution and binomial distribution.

First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
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For ALL 20 students to send less than 6 messages, the probability is
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3 years ago

Please help! I need the surface area for both. Absurd answer are not tolerated. Thanks if you help!

Natasha_Volkova [10]

Answer:

<h3>Figure 1</h3>

Perimeter of base = 5 + 5 + 8 = 18 ft

Height = 7 ft

Base area = 1/2(8)(3) = 12 ft²

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S = 18*7 + 2*12 = 150 ft²

<h3>Figure 2</h3>

<u>Surface area of cube:</u>

S = 6a² = 6(2.5)² = 37.5 m²

<u>Surface area of prism:</u>

S = 2(11 + 9)(7) = 280 m²

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3 years ago

Ryan's tennis club membership, which is $11, is deducted automatically from his bank account every month. Which expression shows

Solnce55 [7]

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3 years ago

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I hope I've helped!

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3 years ago

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A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,734. Suppose that a

DENIUS [597]

Solution :

To claim to be tested is whether "the mean salary is higher than 48,734".

i.e. μ > 48,734

Therefore the null and the alternative hypothesis are

$H_0 : \mu = 48,734$

and $H_1 : \mu > 48,734$

Here, n = 50

$\bar x = 49,830$

s = 3600

We take , α = 0.05

The test statistics t is given by

$t=\frac{\bar x - \mu}{\frac{s}{\sqrt n}}$

$t=\frac{49,830 - 48,734}{\frac{3600}{\sqrt 50}}$

t = 2.15

Now the ">" sign in the $H_1$ sign indicates that the right tailed test

Now degree of freedom, df = n - 1

= 50 - 1

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Therefore, the p value = 0.02

The observed p value is less than α = 0.05, therefore we reject $H_0$ . Hence the mean salary that the accounting graduates are offered from the university is more than the average salary of 48,734 dollar.

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3 years ago