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2 years ago

E5 In (x + 1) Simplify

Mathematics

1 answer:

pentagon [3]2 years ago

8 0

Answer:

e^ (5 ln (x + 1)) = (x + 1)^5

Step-by-step explanation:

e5 In (x + 1) or did you mean e^ (5 ln (x + 1))

because then this would simplify a lot

e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5)

e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5) = (x + 1)^5

or did you mean (e^5) ( ln (x + 1)) = ln [(x+1)^(e^5)]

But I think you meant:

e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5) = (x + 1)^5

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Image attachment below, Algebra 1 stuff

chubhunter [2.5K]

I know you didn't want an explanation, but I'll give you one anyway.
So, for a function, when you have f(5) = , then you'll put that 5 in for all of the x's in the function.

The first batch of problems gave you the equation f(x) = $\frac{x}{2}$ + 3. Now, plug in the numbers given for s and solve.

1. f(5) = $\frac{x}{2}$ + 3 Plug in 5 for x
 = $\frac{5}{2}$ + 3 Make three into a fraction over 2
= $\frac{5}{2}$ + $\frac{6}{2}$ Add
= $\frac{11}{2}$

2. f(-4) = $\frac{x}{2}$ + 3 Plug in -4 for x
= $\frac{-4}{2}$ + 3 Divide -4 by 2
= -2 + 3 Add
= 1

For the next set, you have g(x) = x² + 1.

3. Let's split this up. Solve the first equation, then the second, and then put the answers together to solve it.

g(4) = x² + 1 Plug in 4 for x
= 4² + 1 Square
= 16 + 1 Add
= 17

g(3) = x² + 1 Plug in 3 for x
= 3² + 1 Square
= 9 + 1 Add
= 10

Now, put the two together.

g(4) + g(3) = Substitute in the answers you just got.
17 + 10 = Add
= 27

4. g(-1) = x² + 1 Substitute in -1 for x
= (-1)² + 1 Square
= 1 + 1 Add
= 2

5. g(-6) = x² + 1 Plug in -6 for x
= (-6)² + 1 Square
= 36 + 1 Add
= 37

For the last set, we have h(x) = x² + 7 and k(x) = 4x - 5. We'll have to pay close attention to the starting variables here.

6. h(-6) = x² + 7 Plug in -6 for x
= (-6)² + 7 Square
= 36 + 7 Add
= 43

k(4) = 4x - 5 Plug in 4 for x
= 4(4) - 5 Multiply
= 16 - 5 Subtract
= 11

Put the two answers into the final equation.

h(-6) + k(4) = Substitute in the answers you got
43 + 11 = Add
= 54

7. k(10) = 4x - 5 Plug in 10 for x
= 4(10) - 5 Multiply
= 40 - 5 Subtract
= 35

h(2) = x² + 7 Plug in 2 for x
= 2² + 7 Square
= 4 + 7 Add
= 11

Now, put those into the equation.

k(10) - h(2) = Plug in the answers you got
35 - 11 = Subtract
= 24

8. For this one, it wants you to add h(x) and k(x). We don't need to plug anything into the equations this time because they're both already solved for x! So, you can just set this up like a standard find-x equation.

(x² + 7) + (4x - 5) =
x² + 7 + 4x - 5 = Combine like terms (7 and -5)
x² + 2 + 4x = Reorder so the variables come first
= x² + 4x + 2

4 0

3 years ago

Read 2 more answers

A diagonal support beam is attached to the gate of a fence as shown. Which angles must be congruent in order for the top and bot

statuscvo [17]

Where is it shown? You need to attach a picture or something.

5 0

3 years ago

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Alexandra [31]

Answer: 1. s*h 2. 20.4 hours

Step-by-step explanation: 1. s*h

2. 20.4 hours hope this helps.

7 0

3 years ago

Which action is not a step in using paper folding to find the midpoint of a line

dedylja [7]

Answer:

A. Draw a line from the segment to any point on the fold line.

Step-by-step explanation:

When using the paper folding method to find the midpoint of a line segment we take the following steps:

Draw a line segment on the tracing paper
Fold the tracing paper so that the endpoints lie on top of each other
Mark the intersection of the fold and the segment with a point

These steps include statements B, C, and D. Drawing a line from the segment to any point on the fold line, which is statement A, is not included in these steps because it is not needed.

Thus, choice A is not a step in using paper folding to find the midpoint of a line segment.

5 0

3 years ago

What is the answer?

Inga [223]

Answer:

1) 189.25 square inches

2) 21 square feet

Step-by-step explanation:

1) In order to find the area of a semicircle, you use (πr^2)/2. When you plug in 3.14 as pi and 5 as your radius, you'll get 39.25. The area of the rectangle is base x height which is 10 x 15/150. 150 + 39.25 = 189.25

2) If you draw a vertical line that is parallel to the 2 feet measure, you'll have two rectangles with areas (5x3) and (3x2). 15 + 6 = 21

5 0

3 years ago