Find (fog)(x) when f(x)=2/x+3 and g(x)=1/2x

Any help is appreciated :)

Answer:

[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]

Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2

Answer:

Top left option

Step-by-step explanation:

There are a total of 10 boxes so

x + y = 10

The question states that x = 20 pound boxes and y = 30 pound boxes

20x + 30y = 280

Answer:

(a) z(105)= (105-95)/10

= 1

z(85)= (85-95)/10

= -1

P(85< x < 105) = P(-1< z < 1) = 0.6825

Quantity of people of 1600 that have IQ between 85 and 115 = 0.6825*1600= 1092

(b) z(105) = (115-95)/10 = 2

z(85) = (75-95)/10 = -2

P(-2< z < 2) = 0.6827

quantity of people of 1600 that have IQ between 75 and 115 = 0.6825x1600=1092

(c) Z(>125)=( 125-100)/10=3

[tex]s = 44.0\:\text{m}[/tex]

Step-by-step explanation:

First convert the angle into radian measure:

[tex]315°×\left(\dfrac{\pi}{180°}\right) = 5.50\:\text{rad}[/tex]

The arc length s is given by

[tex]s = r\theta = (8\:\text{m})(5.50\:\text{rad}) = 44.0\:\text{m}[/tex]

Hi :)

The reciprocal of 5 is 1/5.

Every number has a reciprocal except 0.

For example

5/1 is just 5 but the reciprocal of that would be 1/5.

Essentially flipping the fraction.

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Reciprocal means the multiplicative inverse of a number. It means the numerator and the denominator which their places.

Since 5 does not have a denominator, we can keep the denominator as 1. The fraction will be [tex]\frac{5}{1}[/tex]. Now when we switch the numerator and denominator, we will get [tex]\frac{1}{5}[/tex].

Answer:

x=120 and x=110 because adjacent angle

Answer:

D= 60 degrees(corresponding angles) Q = 70 degrees (interior angles)

Step-by-step explanation:

For the first one you can find G right away cause they are corresponding angles you know this cause they form an f shape and then after you find G you can find D cause they are corresponding

For the second one you can find V right away cause V and S are corresponding after you find V which is 110 you do interior angles ( Q and V are in a U shape and angles in that shape add upto 180 and are called interior angles) So Since V is 110 , you have to minus 110 degrees from 180 degrees and so Q is equals to 70 degrees

Answer:

... uhh I'm only in middle school but uhh I think 25??

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

Pls confirm if its correct

correct me if wrong

thanks! :)

The answer is 7.

To prove whether this is correct or not, just test it with the given conditions,

7x4+4=46.

Does 2x23=46?

Yes.

So, therefore,

The answer is 7.

Answer:

x=13

Step-by-step explanation:

6x+4=82

6x=78

Answer:

3 tenths +4 tenths: 7 tenths

Step-by-step explanation:

2+1 :3

so

3+4:7

Answer:

Yes.

Step-by-step explanation:

By adding like terms, -x - 2x = -3x. Therefore, they are equivalent.

Answer:

Yes They are Equivalent.

Step-by-step explanation:

R.H.S (Right Hand Side)

- x - 2x

=> 3x = L.H.S(Left Hand Side)

Answer:

D

Step-by-step explanation:

All we need to do is divide the values we are given.

12.21 / 1.48 = 8.25

Best of Luck!

Answer:

320M

Step-by-step explanation:

It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:

32,000,000 x 10 = 320,000,000

320,000,000 people live in the US.

~

Answer:

4000 centimeters

Step-by-step explanation:

40 cm x 100 = 4000 cm

Answer: B. y = -8, 4

Step-by-step explanation:

Given expression

y² + 4y - 32 = 0

Cross factorize the expression

y          8

y          -4

Factorize the expression

(y + 8) (y - 4) = 0

Finalize the factor of the expression by the zero product property

[tex]\boxed{y=-8,4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

At 8:28 exactly one hour had gone by.

To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18  (48 - 2)

Answer: 1 hour and 18 minutes.

Find the percentage of the people who like Chocolate = chocolate/ total x 100

Percentage = 125/300 = 0.41666 x 100 = 41.6667 = 41.67 ( round as needed)

A full circle is 360 degrees.

The central angle = percentage of chocolate x 360:

0.416666 x 360 = 150

The central angle for chocolate is 150 degrees

Answer:

B)

Step-by-step explanation:

3.0 / .1 = 0.3

Answer:

3×1/10=0.3 in decimals.

Step-by-step explanation:

3×1÷10

3÷10

0.3

Answer:

65.214

Step-by-step explanation:

0*100+6*10+5*1+2*(1/10+1*(1/100+4*(1/1000

0+60+5+2(1/10+1(1/100+4(1/1000

65+(0.2+0.01+0.004

65+0.214

65.214

9514 1404 393

Answer:

  y = 7

Step-by-step explanation:

The y-axis is the vertical line x=0. A perpendicular line will be a horizontal line that will have an equation of the form ...

  y = constant

In order for that line to go through a point with y-coordinate 7, the line must be ...

  y = 7

Answer:

0.25 or 25%

Step-by-step explanation:

because the area of circle is 2πr^2 or two radius times together so that both are decreased by 50%

Answer:

3 and 19

Step-by-step explanation:

The smaller number is x. The bigger number is 4x + 7. Big number + small number= 22. x + 4x + 7 = 22. 5x= 15. x= 3.

Small number= x= 3

Big number= 4x+7= 12 + 7 = 19

Answer:

$200

Step-by-step explanation:

thx hope this helped u

Answer:

See Below.

Step-by-step explanation:

We are given the graph of y = f'(x) and we want to determine the characteristics of f(x).

Part A)

f is increasing whenever f' is positive and decreasing whenever f' is negative.

Hence, f is increasing for the interval:

[tex](-\infty, -2) \cup (-1, 1)\cup (3, \infty)[/tex]

And f is decreasing for the interval:

[tex]\displaystyle (-2, -1) \cup (1, 3)[/tex]

Part B)

f has a relative maximum at x = c if f' turns from positive to negative at c and a relative minimum if f' turns from negative to positive to negative at c.

f' turns from positive to negative at x = -2 and x = 1.

And f' turns from negative to positive at x = -1 and x = 3.

Hence, f has relative maximums at x = -2 and x = 1, and relative minimums at x = -1 and x = 3.

Part C)

f is concave up whenever f'' is positive and concave down whenever f'' is negative.

In other words, f is concave up whenever f' is increasing and concave down whenever f' is decreasing.

Hence, f is concave up for the interval (rounded to the nearest tenths):

[tex]\displaystyle (-1.5 , 0) \cup (2.2, \infty)[/tex]

And concave down for the interval:

[tex]\displaystyle (-\infty, -1.5) \cup (0, 2.2)[/tex]

Part D)

Points of inflections are where the concavity changes: that is, f'' changes from either positive to negative or negative to positive.

In other words, f has an inflection point wherever f' has an extremum point.

f' has extrema at (approximately) x = -1.5, 0, and 2.2.

Hence, f has inflection points at x = -1.5, 0, and 2.2.

Answer: D

Step-by-step explanation:

$7 = cost of book

(p) = cost of pen as a variable

add them together, for total price: $9

7+p=9

Answer:

223/29

Step-by-step explanation:

5x+3y=10 . multiply by 4

3x-4y=61 .  multiply by 3

20x+12y=40

+  9x-12y=183

_____________

29x-0y = 223 . divide both sides by 29

   x = 223/29

Answer:

$505

Step-by-step explanation:

930 - 80 = 850

850 / 2 = 425 (price of the washer)

425 + 80 = 505 (price of the dryer)

Answer:

the dryer costs $425

Step-by-step explanation:

x = washer

y = dryer

x + y = 930

x = y + 80

using the second equation as substitute in the first equation we get

y + 80 + y = 930

2y = 850

y = $425

FYI

x = y + 80 = 425 + 80 = $505

Step-by-step explanation:

tenzin is 19 now

3 years ago he was 16 and his mother was 32

his father will be 48 in 5 years

the age difference between his mother and father is 9

Answer:

[tex]\frac{10}{49}[/tex]

Step-by-step explanation:

There are 23 red candies, 16 blue candies and 10 yellow candies.

Which means altogether we have..

23 + 16 + 10= 49

49 candies.

To find the probability of picking a yellow piece, we know that there are 10 yellow candies out of 49 candies.

So the chances of getting a yellow piece is [tex]\frac{10}{49}[/tex]

10 YELLOW CANDIES

49 CANDIES