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4 years ago

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:

= tan² x

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 = marginal utility of the first unit + marginal utility of the second unit + marginal utility of the third unit + marginal 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