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Valentin [98]
3 years ago
14

Which is the minimum or maximum value if the given function

Mathematics
1 answer:
Triss [41]3 years ago
8 0
...............................no question
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What is the value of x in the equation 2/3(1/2x+12)=1/2(1/3x+14)-3?
Jlenok [28]

Answer:

  a.  -24

Step-by-step explanation:

Multiply by 6 ...

  2/3(1/2x+12)=1/2(1/3x+14)-3

  4(1/2x +12) = 3(1/3x +14) -18  . . . . . . multiply by 6

  2x +48 = x +42 -18 . . . . . . . . . . . . . .eliminate parentheses

  x = 24 -48 = -24 . . . . . . . . . . . . . . . . simplify and subtract (x+48)

7 0
3 years ago
Two hundred dollars is increased by 25% and the result decreased by 25%
erastova [34]

Answer:

If $200 increased by 25%, your result would be $250

If it then decreased by 25%, your result would be $187.5

Step-by-step explanation:

Multiply 200 and 25% and add 200 to get 250

Multiply 250 and 25% and then add that value to get 187.5

5 0
3 years ago
Read 2 more answers
What I the range of f(x)=4^x?
nignag [31]

Answer:

We conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Step-by-step explanation:

Given the expression

f\left(x\right)=4^x

Determining the domain:

The domain of a function is the set of input values for which the function is real and defined.

It is clear that the given function has no undefined points nor domain constraints.

Therefore, the domain is: -∞ < x < ∞

Thus,

\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Determining the range:

The range is the set of values of the dependent variable for which a function is defined.

We know that the range of an exponential function of the form

c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k

k=0

In other words, the range is all positive real numbers.

Thus,

\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}

Therefore, we conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

8 0
3 years ago
Change 45/8 to mixed fraction​
Stells [14]

Answer:

5 5/8

Step-by-step explanation:

How many whole 8's will fit into 45?

We find that five whole 8's fit into 45.

8*5=40

45-40=5

So, the mixed number is 5 5/8

7 0
3 years ago
Read 2 more answers
Which set of side length form a right triangle?
goldfiish [28.3K]

B. 15ft, 36ft, 39ft

use pythagorean theorem

a²+b²=c²

225+1296=1521

6 0
3 years ago
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