2. Given h(x) = x2 +11 and g(x) = √ x-2 evaluate : (g∘ h) (0)

Answers

Answer 1

Step-by-step explanation:

I understand from the corrupted typing of the problem text that we have 2 functions :

h(x) = x² + 11

g(x) = sqrt(x - 2)

we are looking for (g○h)(0).

first of all, (g○h)(0) is the same as g(h(0)).

don't get in panic because of this one iteration sign.

it just means we are running the second function first, and use that result as argument for the first function. that's all.

so,

h(0) = 0² + 11 = 11

11 is now the argument for g(x).

g(11) = sqrt(11 - 2) = sqrt(9) = 3

(g○h)(0) = 3


Related Questions

The circumference of a circle is 12 pi what is the diameter​

Answers

Answer:

Step-by-step explanation:

Givens

C = 12 * pi

C = 2*pi * r

Solution

2*pi * r = 12*pi                        Divide both sides by 2pi

2*pi * r/ 2*pi = 12*pi/2pi

r = 6

Answer: the diameter = 2 * r

the diameter = 12

if i roll a dice 120 times how many times am I gonna get 4

Answers

Answer:

20 out of 120 times

Step-by-step explanation:

As others have said, the general formula is:

expected successes = probability*number of trials

Perhaps an easier question: If you roll a die 6 times, how many 4s would you expect to get?

1, right? 1 out of every 6. That’s what 1/6 means.

If you roll a die 12 times, you expect 2. 2/12 = 1/6

Solve forx2x=8Give your answer as a fraction in its simplest form.

Answers

Answer:

x=4

Step-by-step explanation:

2x=8

÷2

x=4

if you want a fraction then  4/1 which is the same thing as saying 4

This is a graphing problem and I am trying to find the x-intercepts and the y-intercepts. Please show me the full steps. I really appreciate it thank you.

Answers

Answer:

Step-by-step explanation:

the x intercept occurs when y=0

[tex]0=\frac{2x+6}{x-1}\\0=2x+6\\x=-3\\(-3,0)[/tex]

The y intercept occurs when x=0

[tex]y=\frac{2(0)+6}{0-1}=-6\\(0,-6)[/tex]

Answer:

Below in bold.

Step-by-step explanation:

To find the x -intercept put f(x) = 0:

(2x - 6)/(x - 1) = 0

2x - 6 = 0

2x = 6

x = 3

So the x-intercept is at the point(3, 0).

To find the y-intercept put x = 0:

y = (2(0) - 6)/(0 - 1)

= -6/-1

= 6

So the x-intercept is at the point(0, 6).

The the product of two consecutive positive odd number is 195.find the numbers

Answers

Answer:

13 and 15

Step-by-step explanation:

One banana contains 1.3 grams of
protein. How much protein is in 0.5
of a banana?

Answers

Answer:

0.65 grams

Step-by-step explanation:

0.5 of a banana is 1/2 of a banana. A full banana has 1.3g which means we can divide this by 2 to find the amount of protein in half a banana. 1.3 ÷ 2 = 0.65. There is 0.65g of protein in 0.5 of a banana.

Hope this helps!

Protein is 0.65 gram in 0.5 of a banana.

How much protein is in 0.5 of a banana?

By Unitary method,we can solve this problem.

But now question is what is the use of Unitary method ?

By some examples we can understand this concept.

Let cost of 5 pens is 50 rupees.

By Unitary method, cost of 1 pen is

[tex]\frac{50}{5} \\ = 10 \: rupees[/tex]

Cost of 100 pens is [tex](100 \times 10) = 1000 \: rupees[/tex]

Again length of 1 rope is 5 m

Then by Unitary method length of 5 rope is [tex](5 \times 5) = 25 \: m[/tex]

Here given,One banana contains 1.3 grams of protein.

According to question we can say one banana has 1.3 grams of protein.

We want to find quantity of protein in 0.5 banana.

We know,

[tex]0.5 \: of \: banana = \frac{1}{2} \: of \: banana[/tex]

Here quantity of protein in 1 banana is 1.3 grams

So,by Unitary method quantity of protein in [tex] \frac{1}{2} [/tex] banana is

[tex](1.3 \times \frac{1}{2} ) \: grams \\ = \frac{13}{10} \times \frac{1}{2} \\ = 0.65 \: grams[/tex]

Therefore 0.5 banana contain 0.65 grams protein.

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7p-4p+p
Simplify the equation

Answers

Answer:

7p -4p+p

8p-4p= 4p

hope it helps

Selina had been renting for 18 months when there was a flood. The total cost to replace her damaged belongings was $2,160. 0. What percent would Selina have saved if she had a renters' insurance policy at a monthly cost of $25. 00? Round to the nearest tenth.

Answers

Answer:

We’re are the choices

Step-by-step explanation:

Selina had been renting for 18 months when there was a flood. The total cost to replace her damaged belongings was $2,160. 0. Then 20.833 percent would Selina have saved if she had a renters' insurance policy at a monthly cost of $25. 00

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that

Selina had been renting for 18 months when there was a flood.

The total cost to replace her damaged belongings was $2,160. 0.

if she had a renters' insurance policy at a monthly cost of $25. 00

Then for 18 months it would be

18×25

$450

Now let us remove the amount which got in insurance from total rent.

$2,160. 0-$450

=1710

Now we have to find 450 is what percentage of 2160.

450/2160×100

0.2083×100

20.833

Hence 20.833 percent would Selina have saved if she had a renters' insurance policy at a monthly cost of $25. 00

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What is the following sum?

Answers

I think it’s the first one hope this helps

{4z=8}
{3x-2z=11}
{x-4y+z=11}

Answers

Step-by-step explanation:

4z = 8

z = 8/4

z = 2

3x - 2z = 11

3x - 2.2 = 11

3x - 4 = 11

3x = 11 + 4

3x = 15

x = 15/3

x = 5

x - 4y + z = 11

5 - 4y + 2 = 11

-4y = 11 - 5 - 2

-4y = 4

y = 4/-4

y = -1

Solution → {x,y,z} = {5,-1,2}

__% of 15 is 6 hellp mee

Answers

Answer:

40%

Step-by-step explanation:

6 divided by 15 times 100 = 40

Answer:

40

(40%)

Step-by-step explanation:

6 / 15 = 0.4

0.4 * 100 = 40%

We can check this by doing 40% times 15;

15 * 0.4 = 6 ✓

It checks :D

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

How do you find the percentage off of a price

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

Example:

Find the original price (for example $90)Get the the discount percentage (for example 20%)Calculate the savings: 20% of $90 = $18Subtract the savings from the original price to get the sale price: $90 - $18 = $72You're all set!

Discount formula:

(original_price * discount / 100)

_____________________________________________________

Percentage discount is a discount that is given to a product or service that is given as an amount per hundred. For example, a percentage discount of 20% would mean that an item that originally cost $100 would now cost $80. This is common with promotional and seasonal sales, as a way of encouraging consumers to buy an item at a reduced cost.

___________________________________________________

Divide the number by 100 (move the decimal place two places to the left).Multiply this new number by the percentage you want to take off.Subtract the number from step 2 from the original number. This is your percent off number.A percent off of a product or service is a common discount format. A percent off of a product means that the price of the product is reduced by that percent. For example, given a product that costs $279, 20% off of that product would mean subtracting 20% of the original price from the original price. For example:20% of $279 = 0.20 × 279 = $55.80  

$279 - $55.80 = $223.20

You would therefore be saving $55.80 on the purchase for a final price of $223.20.

For this calculator, a "stackable additional discount" means getting a further percent off of a product after a discount is applied. Using the same example, assume that the 20% discount is a discount applied by the store to the product. If you have a coupon for another 15% off, the 15% off would then be applied to the discounted price of $223.20. It is not a total of 35% off of the original price. It is less:

15% of $223.20 = $33.48

$223.20 - $33.48 = $189.72

Thus, with a 20% discount off of $279, and an additional 15% off of that discounted price, you would end up saving a total of:

$55.80 + $33.48 = $89.28

This equates to a 32% discount, rather than a 35% discount, and this calculation is how the calculator is intended to be used. As an example, to more efficiently compute the discount described above:

Final price = (0.80 × 279) × 0.85 = $189.72

This is because 80% of the original price is the same as subtracting 20% of the original price from the original price. The same is true for 85% and 15% case applied to the discounted price.

can someone help me on these 3 problems please ! and explain aswell ??

Answers

Answer:

try finding slope

Step-by-step explanation:

Pleaseee help max points is the reward I really need help with this question and it says find leg 1 leg 2 and the distance please help

Answers

answer done last mai btaa dena correct hai

CANSOMEONE PLZ HELP ME!!!! i have exams coming up soon
needing help

Answers

Answer:

175

Step-by-step explanation:

[tex]answer \: = 175[/tex]

The measure of the weight in grams is 175 grams

Measurement scale

From the given diagram, you can see that the scale is subdivided by 100grams from zero.

From the given scale, you can see that the pointer is just about to land on the second part of the division. This shows that the measure will be less than 200 grams. Hence we can conclude that the measure of the weight in gram is 175 grams since the pointer is on the last sub-division between 100g and 200g

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F(n)=4n
g(n)=n2+2n
find f(g(-6))

Answers

Answer:

When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.

Step-by-step explanation:

To evaluate f(g(-6)), first find g(-6).

g(n) = n² + 2n

Substitute value.

g(-6) = (-6)² + 2(-6)

Square -6. Remember that (-x)² = x²

g(-6) = 36 + 2(-6)

Multiply 2 and -6.

g(-6) = 36 - 12

Subtract 12 from 36.

g(-6) = 24.

Now knowing this, substitute that value into f(n).

f(g(-6)) = f(24)

f(n) = 4n

Substitute value.

f(24) = 4(24)

Multiply 4 and 24.

f(24) = 96.

solve for x, 500 = 50*(1.23)^x

this is for an exponential functions task where 500 represents an animal population, 1.23 is the growth rate and 50 in the initial population.

x represents the periods in years

Answers

Answer:

Step-by-step explanation:

[tex]x^n=p\\x=\frac{\log(p)}{\log(n)}[/tex]

[tex]500=50*1.23^x\\10=1.23^x\\\frac{\log(10)}{\log(1.23)}= 11.12283811[/tex]

If x = −3, which number line shows the value of |x|? (5 points)


Question 11 options:


1)




2)




3)




4)

Answers

can’t see your answer choices but the absolute value of -3 is 3 so I would say 3 is your answer

help plz 25 pts due i five mins

Answers

Answer:

B) <

Step-by-step explanation:

Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is smaller than 4.6, so we will use the less than symbol <.

Hopefully that's helpful! Good luck on your quiz. :)

Find the value of x. Only type the "number."

Answers

X is 21.75 djdjdhusjd

The length of a room is 10.5 feet. What is the length of the room in inches?
A) 132 inches
B) 126 inches
C) 121 inches
D) 22.5 inches

Answers

Answer:

B

Step-by-step explanation:

1 foot = 12 inches

10.5 feet = x                      Cross multiply

1*x = 12 * 10.5                    Combine  

x = 126 inches

some smart people here know the answer, plz? Thank you!

Answers

Answer:

1>233B+23 =28.32

Step-by-step explanation:

Hope This Helps

Which inequality describes the points shown on this number line?​

Answers

Answer:

B

Step-by-step explanation:

the answer is 4 <x or x is equal to smaller than q0

Divide 2200kg in the ratio 5: 6.​

Answers

Answer:

i have no idea1233930494

Steps for 4-6h-8h=60

Answers

Answer:

To solve for h, isolate the “h” on one side of the equation.

Combine like terms on the left sides (h). When combing like terms add and subtract as normal and attach the variable.

4-14h=60

Subtract 4 from both sides.

-14h=56

Divide both sides by -14.

h=-4

Hope this helps! :)

Answer:

h = -4.

Step-by-step explanation:

4-6h-8h=60

4-4-6h-8h = 60-4

-14h = 56

h = 56/-14

= -4.

Make journal entry of-
Wages paid to Gopal Rs.1,500​

Answers

Answer:

Salary A/c. Dr.

To Cash A/c.

(Being salary paid to Gopal)

Step-by-step explanation:

Pete saw that he was 200 yards from shore when he dove out of the boat. It took him 49 seconds to swim the first 50 yards. At that rate, how much longer will it take to reach the shore?
tysm<3

Answers

Answer:

147 seconds to get to the shore(after the 49 seconds)

Step-by-step explanation:

If Pete swam at a constant speed of 50 yards/49 seconds, you just have to multiply that by four, to get 200 yards. If you want the total time from his boat to shore, that is 196. If you want how much longer it would be, it would be 147 seconds

for minutes, just divide by 60

Bob's car can go

111 miles on tank

of gas. How far can it

go on a full tank?

PLEASE HURRY

Answers

Answer:

296 miles

Step-by-step explanation:

Use a proportion:

 

111/( 3/8) = x/ 1

 

Cross Multiply

 

   (3/8)x = 111

 

Multiply both sides by 8/3 ; reciprocal

 

          x = (8/3) (111)

 

          x = 296 miles

Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.
What is the change in the amount of liquid in the tub after 1/3 minute?
Enter your answer as a fraction in lowest terms in the box

Answers

Answer:

Step-by-step explanation:

The amount of water in the bathtub per minute:4/9-8/9=-4/9;

liquid after:1/3* (-4/9)=-4/27

If the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.

The rate of net flow of the water = Water outgoing - Water ingoing

The rate of net flow of the water = 8/9 - 4/9

The rate of net flow of the water =4/9

The change in the amount of liquid in the tub after 1/3 minute is,

=4/9 × 1/3

=4/27

Thus, if the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.

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I need help ASAP is due today and I don’t understand anything

Answers

Answer:

d a m i dont even know this

Step-by-step explanation:

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