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adell [148]
3 years ago
13

In Exercise, find the derivative of the function. y = 5ex + 2

Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

Answer:

\dfrac{dy}{dx} = 5e^x

Step-by-step explanation:

We are given the following in the question:

y = 5e^x + 2

We have to find the derivative of the given function.

Formula:

\dfrac{d(e^x)}{dx} = e^x

Derivative of a constant is zero.

Derivation takes place as:

\dfrac{dy}{dx} = \dfrac{d(5e^x + 2)}{dx}\\\\=5\dfrac{d(e^x)}{dx} + \dfrac{d(2)}{dx}\\\\= 5e^x

\dfrac{dy}{dx} = 5e^x

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Sue has an annual interest income of $3390 from two investments. She has $10,000 more invested at 8% than she has at 6%. Find th
olchik [2.2K]

Answer:

  $18500 at 6% and $28500 at 8%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then x+10000 is the amount invested at 8%. The total income from the two investments is the sum of the products of the amount invested and the interest rate:

  x·6% +(x+10000)·8% = 3390

  0.14x + 800 = 3390 . . . . . . . . collect terms

  0.14x = 2590 . . . . . . . . . . . . . .subtract 800

  2590/0.14 = x = 18500 . . . . . divide by the coefficient of x

Sue has invested $18500 at 6% and $28500 at 8%.

7 0
4 years ago
To graph y = -cosx, _____.
Lady bird [3.3K]

Answer:

reflect y = cos x over the x-axis

Step-by-step explanation:

When a function is reflected over the x-axis, the transformation is:

y = -f(x)

If it were reflected over the y-axis, the transformation would be:

y = f(-x)

5 0
4 years ago
GETS BRAINILIST!!!!!!!The table shows the relationship of how many pounds of cherries are needed to make a certain number of pie
dexar [7]

Answer:

Graph 3

Step-by-step explanation:

EXAMPLE    6=60

                    4= 40

SINCE THERE IS NO NORMAL NUMBERS AND THERE ARE 10 , 20 ,30 ETC..

THE NORMAL NUMBERS TURN INTO 10 20 AND SO ON..

HOPE IT HELPS

8 0
4 years ago
What must be written on the dotted line to make a correct algebraic statement?
asambeis [7]

Answer:

Option A = 8t

Step-by-step explanation:

6t + 3t - 8t = t

6t + 3t = 9t

9t - 8t = t

6 0
3 years ago
Given: a and b are parallel and c is a transversal.
Vedmedyk [2.9K]

The missing words to complete the proof are respectively; Vertical Angles; Corresponding angles; Transitive Property

<h3>How to prove congruent angles?</h3>

The image of the transversal line is attached.

1) We know that lines a and b are parallel and that line c is a transversal because that is given.

2) We can tell that angles 2 and 5 are congruent because vertical angles are congruent.

3) Angles 5 and 7 are congruent because corresponding angles by parallel lines cut by a transversal are congruent.

4) Therefore, angles 2 and 7 are congruent based on the transitive property.

Read more about Congruent Angles at; brainly.com/question/1675117

#SPJ1

3 0
2 years ago
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