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Kaylis [27]
4 years ago
6

HELP! LOOK AT THE IMAGES BELOW

Mathematics
1 answer:
sineoko [7]4 years ago
5 0

Answer:

(g+f)(x)=(2^x+x-3)^(1/2)

Step-by-step explanation:

Given  

f(x)= 2^(x/2)

And

g(x)= √(x-3)

We have to find (g+f)(x)

In order to find (g+f)(x), both the functions are added and simplified.

So,

(g+f)(x)= √(x-3)+2^(x/2)  

The power x/2 can be written as a product of x*(1/2)

(g+f)(x)= √(x-3)+(2)^(1/2*x)

We also know that square root dissolves into power ½

(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)

We can see that power ½ is common in both functions so taking it out

(g+f)(x)=(x-3+2^x)^(1/2)

Arranging the terms

(g+f)(x)=(2^x+x-3)^(1/2)  ..

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29 POINTS!!!! Please help me with Pre calc!!!
Lynna [10]

Answer:

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Step-by-step explanation:

3 0
3 years ago
A bag contains white marbles and red marbles, 20 in total. The number of white
icang [17]

Let x = number of white marbles and y = number of yellow marbles.

x + y = 57 => x = 57 - y

Also, x = 3 + 5y

Substitute x for y.

57 - y = 3 + 5y => 57 - 3 = 54 = 6y

So, y = 9

Since x (our answer) = 3 + 5 (9),

x = 48.

Check: 48 + 9 = 57 total

5 0
4 years ago
6⅔ equal to how many 12th?
liubo4ka [24]
80/12 but as a mixed number it would be 6 8/12
5 0
4 years ago
This figure is made up of a quadrilateral and a semicircle.
Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of AB is

AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}

The length of AD is

AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}

Since AB=AD, therefore ABCD is a square. The area of the of square is

A_1=a\times a=\sqrt{29}\times \sqrt{29} =29

The area of square is 29 units².

The area of a semicircle is

A_2=\frac{\pi}{2}r^2

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

r=\frac{d}{2}=\frac{\sqrt{29}}{2}

The area of the semicircle is

A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825

The area of the figure is

A=A_1+A_2=29+11.2825=40.3825\approx 40.4

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0
4 years ago
what is the total utility at 4 units and the marginal utility when jack goes from consuming three pop tarts to four pop tarts?
Verizon [17]

The total utility of 4 units is 50 and the marginal utility is 5

Total utility is the sum of satisfaction that is derived from the consumption of units of a good or service.

Total utility can be determined by adding the marginal utility of each unit that is consumed.

Total utility of consuming 4 units =<em> marginal utility</em> of the first unit + <em>marginal utility</em> of the second unit + <em>marginal utility</em> of the third unit + <em>marginal </em>utility of the fourth unit  

20 + 15 + 10 + 5 = 50

Marginal utility is the change in total utility when consumption increases by unit. Marginal utility is 5

Please find attached the table used in answering this question. To learn more about marginal utility, please check: brainly.com/question/14149928?referrer=searchResults

8 0
2 years ago
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