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3 years ago

What is the range of the function y = e Superscript 4 x

Mathematics

2 answers:

grin007 [14]3 years ago

8 0

Answer:

Second option: $y>0$

Step-by-step explanation:

The given function is

$y=e^{4x}$

Remember that the range is the set formed by y-values, that is, the dependent variable elements.

If you think this through, you would deduct that a power cannot be equal to zero or a negative number. All powers are always positive and greater than zero, because the least power that can exist is equal to one, which is $x^{0}=1$ .

Therefore, the right answer is $y>0$ , because that's the restriction of exponential expression by definition.

Alborosie3 years ago

3 0

Answer:

A. Less than zero

Step-by-step explanation:

So If you graph the function, you'll see that it never actually crosses the y axis into the third or fourth quadrant, the quadrants where all y values become negative.

The answer A is also correct on Edge

Have a great day dude

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To purchase $12,900 worth of machinery for her business, Melissa made a down payment of $2100 and took out a business loan for t

Ierofanga [76]

Answer:

a) $13588.08

b) $688.08

Step-by-step explanation:

Melissa had to purchase $12,900 worth of machinery for her business.

She made a down payment of $2100 and after that made monthly payments of $478.67 for the business loan for the rest.

Given that after years of paying monthly payments of $478.67, she finally paid off the loan.

Assume that she took 2 years to repay the loan.

a) Therefore, the total amount Melissa ended up paying for the machinery was $[2100 + (478.67 × 24)] = $13588.08 (Answer)

b) Therefore, the amount of interest that Melissa pay on the loan is $(13588.08 - 12900) =$688.08. (Answer)

4 0

3 years ago

What is the answer for <br> 4[8-(8)]+1

ivann1987 [24]

Answer:1

Step-by-step explanation:

7 0

2 years ago

Find the value of sin T rounded to the nearest hundredth, if necessary.

katovenus [111]

<h3>Answer: 0.6</h3>

========================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(T) = VU/VT

sin(T) = 3/5

sin(T) = 0.6

6 0

2 years ago

Read 2 more answers

How to solve this question

VMariaS [17]

<span>The variance method is as follows.

-Sum the squares of the values in data set, and then divide by the number of values in data set
- From that, subtract the square of the mean (add all values and divide by number of values in the data set)

Our variance is

<span> $\displaystyle\sigma^2 = \frac{2^2 + 5^2 + m^2}{3} - \left(\frac{2 + 5 + m}{3}\right)^2$

Since variance has to be 14, we set $\sigma^2 = 14$ and solve for m

$14= \frac{4 + 25 + m^2}{3} - \left(\frac{7 + m}{3}\right)^2\ \Rightarrow \\ \\
14 = \frac{29}{3} + \frac{1}{3}m^2 - \frac{1}{9}(7+m)^2 \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{1}{9}(49 + 14m + m^2) \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{49}{9}- \frac{14}{9}m- \frac{1}{9}m^2 \\ \\
0 = \frac{-88}{9} -\frac{14}{9}m + \frac{2}{9}m^2
$

quadratic formula

$m = \displaystyle\frac{-b \pm \sqrt{b^2 -4ac}}{2a} \\
m = \frac{-(-\frac{14}{9}) \pm \sqrt{\left(-\frac{14}{9}\right)^2 - 4(2/9)(-88/9)} }{2(2/9)} \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{196}{81} + \frac{704}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{900}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{100}{9} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \frac{10}{3} }{\frac{4}{9} } \\
m = 11, -4$

-4 doesnt' work as it is not a positive integer

m = 11

</span></span>

5 0

2 years ago

In your path class, 60% of the student are girls. If there are 15 girls in the class, how many students are in your math class?

xxMikexx [17]

25 students in class

3 0

2 years ago

Read 2 more answers