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stira [4]
3 years ago
15

The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units, find the

resulting function.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

y = e^(-3x)

Stretch by factor of 4

y = 4e^(-3x)

Reflect across y axis

y = 4e^(3x)

Shift up by 5

y = 4e^(3x) + 5

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Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a
Leto [7]

Answer:

2.45c + 1.65c = 4.12 + 0.75

Step-by-step explanation:

To write an equation to find the value for c, we need to declare what c is first.

c = price of fruit

2.45c + 1.65c = 4.12 + 0.75

Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.

Now to check if the equation is right, let's solve for c.

2.45c + 1.65c = 4.12 + 0.75

4.1c = 4.87

Now to get the value of c, we divide both sides of the equation by 4.1.

\dfrac{4.1c}{4.1}=\dfrac{4.87}{4.1}

c = 1.19

Now let's substitute the value of c in the equation to see if we got it right.

2.45(1.19) + 1.65(1.19) = 4.12 + 0.75

2.92 + 1.96 = 4.87

4.87 = 4.87

Therefore concluding that the value of c is 1.19.

7 0
4 years ago
What does this mean??4/9 ÷ 17/ 18
vichka [17]

Answer:

4/9 ÷ 17/18 =

Step-by-step explanation:

4/9 ÷ 17/18

4/9 · 18/17      (Take the reciprocals of 17/18)

72/153

Simplest form : 8/17

Hope this helps!

-Abha

8 0
4 years ago
There are 20 pens in a package. Ten of the pens are black, 8 are blue, and the rest are red.
azamat

Answer:

1:5 simplifies

Step-by-step explanation:

2 are red 10 are black. so it would be 2/10 or 2:10 (both means the same) however if you simplified it, it will be 1:5

3 0
3 years ago
What 5,727 dived by 83
svetlana [45]

Answer:

415

____

727

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help as soon as possible
Studentka2010 [4]
The lines are reciprocal because they cross to form an X. Also 4/5 is the reciprocal of 5/4
4 0
3 years ago
Read 2 more answers
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