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ioda
3 years ago
14

Show the expression as the base to one power.

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Step-by-step explanation:

{4}^{5}. {4}^{3 } =  {4}^{5 + 3} =  {4}^{8}

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Movies Unlimited charges $2 per movie plus $3 per game for rentals on Saturday’s only. If you rent 4 games and you have $20, whi
lana66690 [7]
I think you would’ve rented 4 movies and 4 games

3 0
3 years ago
You are the crew chief of the Algebra 2 formula racing team. Your current tasla is to determine fuel consumption of both cars. C
noname [10]

Answer:

                                         

Step-by-step explanation:

5 0
3 years ago
Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×&lt
brilliants [131]

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

f'(x) = \dfrac{(-x + 2)^4}{dx}  = -4 \cdot (-x + 2)^3 = 0

∴ (-x + 2)³ = 0

x = 2

f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx}  = -12 \cdot (-x + 2)^2

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

5 0
3 years ago
one-third of a number x is equal to 22 less than the number. Write and solve an equation to find the number.
Debora [2.8K]

1  \div 3x = 22 - x
3 0
3 years ago
Michael is going to invest $15,000 into two savings accounts to save money to buy a house.
levacccp [35]

Answer:

Bank of Texas = $10,031.35

United Texas Bank = $10,500.00

Step-by-step explanation:

Bank of Texas

A=P(1+rt)

P=$7,500

r=6.75%

t=5 years

$10,031.35

refer the pic

United Texas Bank

A=P(1+rt)

P=$7,500

r=8%

t=5 years

$10,500.00

refer the sec pic

6 0
2 years ago
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