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2 years ago

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

Mathematics

2 answers:

grin007 [14]2 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.

Alborosie2 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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Which statement correctly describes the slope of the linear function that is represented by the data in the table? x y 8 –8 8 –4

spin [16.1K]

Answer:

Step-by-step explanation:

slope=change in y/change in x

one way is t pick 2 points, (x1,y1) and (x2,y2)

the slope is (y2-y1)/(x2-x1)

pick some points

(8,4) and (8,0)

slope=(0-4)/(8-8)=-4/0=undefined

the slope is undefined

there is no slope.

5 0

2 years ago

Read 2 more answers

A teacher handed out m notebooks which came in packs with c notebooks in each pack. How many packs were there?

Roman55 [17]

Let’s throw some numbers in here just so it becomes clear what we are asked for.

Let’s say the teacher hands out 12 notebooks that came in packs with 4 notebooks in each pack. If you are asked for the number of packs here you would see that it’s 3. That is 3 packs of 4 give 12.

So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.

The number of packs is m/c

7 0

2 years ago

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A customer visiting the suit department of a certain store will purchase a suit with probability .22, a shirt with probability .

BigorU [14]

Answer:

a) The probability that he doesnt but any items is 0.49

b) He buys exactly 1 of those items with probability 0.28

Step-by-step explanation:

lets call su the event that the customer purchases a suit, sh the event that teh customer purchases a shirt and t the event that the customer purchases a tie.

Remembe that for events A, B and C we have that

P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

Also, we are given that

P(su) = 0.22

P(sh) = 0.3

p(t) = 0.28

p(su ∩ sh) = 0.11

P(su ∩ t) = 0.14

P(sh ∩ t) = 0.1

P(sh ∩ t ∩ su) = 0.06

The event that he doesnt buy any item has as complementary event su ∪ sh ∪ t, therefore

P( he doesnt but any items) = 1-P(su U sh U t) =

1-( P(su) + p(sh) + p(t) - P(su ∩ sh) - p(su∩t) - p(sh∩t) + p(su∩sh∩t) ) =

1-(0.22+0.30+0.28-0.11-0.14-0.1+0.06) = 1-0.51 = 0.49

b) The probability that he buys at least 2 items is equal to

p(su ∩ t) + p(su ∩ sh) + p(sh ∩ t) -2 p(su ∩ t ∩ sh) (because we are counting the triple intersection 3 times, so we need to remove it twice)

This number is

0.14+0.11+0.1-2*0.06 = 0.23

Thus, the probability that he buys exactly one item can be computed by substracting from one the probability of the complementary event : she buys 2 or more or non items

P(he buys exactly one item) = 1- ( p(he buys none items) + p(he buys at least 2) ) = 1- 0.49-0.23 = 0.28

7 0

2 years ago

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an artist is arranging tiles in rows to decorate a wall. each new row has 2 fewer tiles than the row below it. if the first row

valentinak56 [21]

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant

This problem is an Arithmetic Sequence

where

the first term is $23$

and

the common difference is $-2$

In general we can write an Arithmetic Sequence as a rule

$an=a1+d*(n-1)$

where

a1 is the first term

d is the common difference

$a1=23\\\\ d=-2$

$an=a1+d*(n-1)\\ \\ a7=23+(-2)*[7-1]\\ \\\\ a7=23-12\\ \\\\ a7=11$

therefore

<u>the answer is</u>

$11\ tiles$

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2 years ago

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Alissa is analyzing an exponential growth function that has been reflected across the y-axis. She states that the domain of the

storchak [24]

i feel like u are going to delete this but if this helped please don't delete it the answer is, Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input.

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2 years ago

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