Let f (x) = x – 4 and g(x) = 6 - x
Evaluate g(f(10)).

Answers

Answer 1

G(f(10))

First solve f(x) by replacing x with 10:

F(x) = x-4 = 10-4 = 6

Now replace x in g(x) with 6

G(x) = 6-x = 6-6 = 0

So g(f(10)) = 0


Related Questions

How do I find DG. A. 3 B. -7 c. 16 d. 13

Answers

Answer:

x = -7

Step-by-step explanation:

DE + EF + FG = DG

2x+17 + 8+2 = x+20

Combine like terms

2x+ 27 = x+20

Subtract x from each side

2x+27-x = x+20-x

x+27 = 20

Subtract 27 from each side

x+27-27 = 20-27

x = -7

Which sets of points represent one-to-one functions?
-
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,8), (8,8)}
-
g = {(1,2), (3,3), (5,4), (7,4), (9,4), (11,4), (13,4), (17,4)}
-
h = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}
-
i = {(0,1), (1,3), (3,5), (5,3), (7,4), (9,6), (11,9), (13,10)}
-
j = {(2,6), (4,16), (6,26), (8,36), (10,16), (12,56), (14,66), (16,16)}
-
k = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}

Answers

Two Answers: Function h (third choice)Function k (sixth choice, or last choice)

==========================================================

Explanation:

A function is only possible if the x values do not repeat. A relation is considered one-to-one only if the y values do not repeat. We combine the two ideas. If we want a one-to-one function, then neither x nor y can repeat.

Function f has y = 8 repeating, so it is not one-to-oneFunction g is a similar story but y = 4 repeats.Function h has all unique x values, and all unique y values. This function is one-to-one.Function i has y = 3 repeating, so it is not one-to-one.Function j has y = 16 show up more than once, so it is not one-to-one.Function k has all unique x values, and all unique y values. This function is one-to-one.

Note: if we had two points like (1,2) and (3,1), then it is still one-to-one (even though the digit 1 shows up twice). This is because the set of x values {1,3} is unique, and so is the set of y values {2,1}. We look at each set separately and not combine the two sets.

Answer:

H = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}

K = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}

explanation: PLATO/EDMENTUM

HELP ME PLZ ANSWER PLZ​

Answers

Answer:

4 cm

Step-by-step explanation:

The volume (V) of milk in the container is

V = 8 × 5 × 12 = 480 cm³

The volume remains the same whatever the position of the container.

let d be the depth then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

d = 4 cm

find the area of quadrilateral ABCD.

Answers

The correct answer is B. 14.89 units squared.

Find the area of each triangle and add them together. Heron’s formula explains it better than me. Lol

Answer:

           14.89 units²

Step-by-step explanation:

[tex]P_{ABCD}=P_{ACD}+P_{ABD}[/tex]

We can use Heron's formula to calculate area of triangles:

[tex]P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}[/tex]   where:

a, b, c  - sides of triangle

s  - semi-perimetr of triangle  {(a+b+c):2}

ΔACD:

a = 4.39 ,   b = 3.42  ,  c = 4.57

s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19

[tex]P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071[/tex]

ΔACD:

a = 5.44 ,   b = 7.84 ,   c = 3.42

s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = [tex]P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816[/tex]

[tex]P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89[/tex]

help plz I think the first one is correct but I'm not sure

Answers

Answer: You are correct.

The left side 10x+25 is the cost expression for Black Diamond, while the right hand side 5x+50 is for Bunny Hill. The x is the number of hours.

Properties and characteristics of sum and difference of two cubes.

Answers

Answer:

The properties and characteristics of the sum of two cubes

1) In the sum of two cubes, the middle sign of the binomial factor on the right hand side of the equation is positive

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the sum of two cubes

The properties and characteristics of the difference of two cubes

1) In the difference of two cubes, the middle sign of the binomial factor on the right hand side of the equation is always negative

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the difference of two cubes

Step-by-step explanation:

The sum and difference of two cubes are;

a³ + b³, and a³ - b³

Factorizing the expressions for the sum and difference of two cubes can be shown as follows;

Sum of two cubes; a³ + b³ = (a + b) × (a² - a·b + b²)

Difference of two cubes; a³ - b³ = (a - b) × (a² + a·b + b²).

question is-- Northern Tier Gardens has hired you for a summer job installing water gardens. they have circular water garden pools available in a variety of sizes. the manager has asked you to create a table to show the circumference and area of the company's various water garden pools. use 3.14 for π and round each answer to the nearest hundredth. === 20 PTS.

Answers

Answer:

See explanation

Step-by-step explanation:

Atlantic area = πr² = (3.14)(2.5)² = 19.63 ft²

Circumference = 2πr = 2(3.14)(2.5) = 15.7 ft

Pacifica A = (3.14)(6)² = 113.04 ft²

C = 2(3.14)(6) = 37.68 ft

Mediterranean A = (3.14)(1.75)² = 9.62 ft²

C = 2(3.14)(1.75) = 10.99 ft

Baltica A = (3.14)(1)² = 3.14 ft²

C = 2(3.14)(1) = 6.28 ft

Japanesque A = (3.14)(2.25)² = 15.90 ft²

C = 2(3.14)(2.25) = 14.13 ft

Floridian A = (3.14)(3.25)² = 33.17 ft²

C = 2(3.14)(3.25) = 20.41 ft

PLEASE HELP ASAP! Alayna is hanging a picture frame in the center of a wall that is 8 feet wide. If the picture frame is 22 1/4 inches wide, how far will each side of the picture frame be from the edge of the wall (in inches)? First, estimate the amount and then find the exact measurement. In two or more complete sentences, explain how you solved the problem. You may include a diagram in your explanation if you wish.

Answers

Answer:

See below.

Step-by-step explanation:

Approximation:

The wall is 8 ft wide.

The frame is 22 1/4 inches wide. 22 1/4 inches is close to 2 ft since 2 ft = 24 inches.

8 ft - 2 ft = 6 ft

There will be approximately 6 ft of space tot he sides of the frame.

6 ft/2 = 3 ft

3 ft * 12 in./ft = 36 in.

There will be approximately 36 in. on each side of the frame.

Exact:

8 ft - 22 1/4 in. = 8 * 12 in. - 22 1/4 in. =

= 96 in. - 22 1/4 in.

= 95 4/4 in. - 22 1/4 in.

= 73 3/4 in.

The total amount of width of the wall not occupied by the frame is 73 3/4 in.

Half of that amount is on each side of the frame.

(73 3/4 in.)/2 = (73 3/4 in.) * 1/2 = (73 * 1/2 + 3/4 * 1/2) in. =

= 36 1/2 in. + 3/8 in.

= 36 4/8 in. + 3/8 in.

= 36 + 7/8 in.

= 36 7/8 in.

I don't think this is correct plz check me

Answers

Answer:

The answer is the first one

Step-by-step explanation:

The cost of an adult ticket is $15

The price of an adult ticket is 1/2 the price of a student ticket plus $8

x is the cost of a student ticket, so

1/2(x) + $8 = $15

Please help!! Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet. The distance between the birdwatcher and the second bird is 45 feet. What is the angle measure, or angle of depression, between this bird and the birdwatcher? Round your answer to the nearest tenth. 35.4° 44.7° 45.3° 54.6°

Answers

Answer:

45.3°

Step-by-step explanation:

A right triangle is formed given the information above.

Angle of depression = x°

Distance between first bird and birdwatcher = opposite to angle x° = 32 ft

Distance between second bird and birdwatcher = hypotenuse of the right triangle formed = 45 ft

The trigonometric ratio formula to use is:

[tex] sin(x) = \frac{opp}{hypo} [/tex]

[tex] sin(x) = \frac{32}{45} [/tex]

[tex] sin(x) = 0.7111 [/tex]

[tex] x = sin^{-1}(0.7111) [/tex]

[tex] x = 45.3 [/tex] (nearest tenth)

Angle of depression = 45.3°

Answer:

45.3°

Step-by-step explanation:

Hope this helps :)

A farm yard contains some pigs and some chickens. Altogether there are 60 heads and 200 legs. How many pigs are there in the yard?

Answers

Answer:

40 pigs.

Step-by-step explanation:

p=pigs c=chickens.

4p=pigs have 4 legs.

2c=chickens have 2 legs.

4p+2c=200

p+c=60

Do the elimination method:

4p+2c=200

(-4)p+c=60

4p+2c=200

-4p-4c=-240

-2c=-40

c=20

p+20=60

p=60-20

p=40

Hope this helps!

BRAINLIEST would help me a lot:)

Bob is mailing packages. Each small package costs him $2.30 to send. Each large package costs him $2.80 . How much will it cost him to send 7 small packages and 1 large package?

Answers

Hi

2.30 for small and 2.80 for large .  

7 small + 1 large  :   7*2.30 +1*2.80 = 16.10 + 2.80 = 18.90

Answer:

2.30 for small and 2.80 for large .  

7 small + 1 large  :   7*2.30 +1*2.80 = 16.10 + 2.80 = 18.90

Step-by-step explanation:

Use the image to answer the question. What notes do you see? a. quarter and eighth notes b. whole and quarter notes c. eighth and sixteenth notes d. quarter and sixteenth notes help me please, ty

Answers

Answer:

a. quarter and eighth notes is the best option

Step-by-step explanation:

you can get help from this attachment

hope it will help you :)

In the figure below, if the angle is right what is the value of x?

Answers

Answer:

x = 50

Step-by-step explanation:

Since the angle is right = 90°, then

40 + x = 90 ( subtract 40 from both sides )

x = 50

Answer:

[tex]\boxed{\sf x = 50\ degrees}[/tex]

Step-by-step explanation:

x = 90 - 40    [Complementary angles add up to 90 degrees]

x = 50 degrees

What is the product? Two-thirds times eight-ninths

10/27
16/27
Two-thirds
Five-sixths

Answers

Answer:

16/27

[tex]\frac{2}{3}[/tex] × [tex]\frac{8}{9}[/tex] = [tex]\frac{16}{27}[/tex]

Solve each system of equation for 3y+x=3 and -2y+5x=15

Answers

Answer:

x = 3 and y = 0

Step-by-step explanation:

3y+x=3

-2y+5x=15

Isolate y in 3y + x = 3 :

[tex]y=[/tex] [tex]\frac{3-x}{3}[/tex]

Substitute [tex]y = \frac{3-x}{3}[/tex]  in -2y + 5x = 15 :

[tex]-2 * \frac{3-x}{3} + 5x = 15[/tex]

Simplify the equation :

[tex]\frac{-6+17x}{3} =15[/tex]

Isolate x in [tex]\frac{-6 + 17x}{3} = 15[/tex] :

Proving x = 3

Isolate y in [tex]y = \frac{3-3}{3}[/tex] :

Proving y = 0

Your solved system of equations are x being 3, and y being 0.

A classroom has 14 boys and 18 girls. What is the ratio of boys to girls?

Answers

Answer:

7:9

Step-by-step explanation:

boys:girls

14:18

simplify -- divide by 2

7:9

Answer:

7:9

Step-by-step explanation:

so we start of with 14 boys to 18 girls, but we need to simplify it.

so we half both numbers to get to 7:9.

this is the most simplified form of this ratio.

the answer is 7:9

- X, what is the value of (f - g)(2)?

Answers

Answer:

2

Step-by-step explanation:

because ther is in the picture

(-1/2)/(1/2)


what's the answer​

Answers

-.25

Just multiply them across one another and you get -1/4 which is -.25

/////////////nvm///////////

Ms. Canton has a book case. On three of the shelves there are the same amount of books. On another shelf there are four of her favorite books. Write an expression to represent all of the books in Ms. Canton's book case. Explain your answer

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

According to the given question, the expression to represent all the books in Ms. Canton's bookcase is shown below:-

y indicates the total amount of books

x indicates the equal cost of books on 3 bookshelves

while

+4 indicates 4 other books on the fourth bookshelf

So, the expression will be

y = 3x + 4

Therefore the correct answer is y = 3x + 4

I Need help again! Given the following Venn diagram, choose the correct set for M n N

Answers

Answer:

{2, 3, 5, 6, 8, 9}

Step-by-step explanation:

The universal set is

U = {2, 3, 4, 5, 6, 7, 8, 9}

M = {3, 4, 7, 9}

N = {4, 6, 7}

M n N = {4, 7}

The bar above M n N means the complement of M n N which is all elements of the universal set that are not in M n N.

Answer: {2, 3, 5, 6, 8, 9}


Please answer this question now

Answers

Answer:

1306.24 cm².

Step-by-step explanation:

From the diagram given above, we obtained the following information:

Radius (r) = 13 cm

Pi (π) = 3.14

Slant height (l) = 19 cm

Surface Area (SA) =.?

The surface area of the cone can be obtained as follow:

SA = πr² + πrl

SA = πr ( r + l)

SA = 3.14 × 13 ( 13 + 19)

SA = 40.82 (32)

SA= 1306.24 cm²

Therefore, the surface area of the cone is 1306.24 cm².

Myra wants to practice the piano for at least 22 minutes each day. Which of the following inequalities represents the number of minutes Myra will practice piano?

Answers

Answer:

[tex]x\geq 22[/tex]

Step-by-step explanation:

If someone wants to practice for at least 22 minutes a day, they want to practice 22 minutes or more. This is the same as greater than or equal to, and  we want the minutes practices to be greater than or equal to 22. We can assume minutes practiced is x, and create the inequality [tex]x\geq 22[/tex].

Hope this helped!

Waldnice!
8. I have a maximum/minimum thermometer in my greenhouse. It records the highest and
lowest temperatures reached since the time I reset it. I reset it on Sunday when the
temperature was 4°C. Overnight the temperature fell by 5°C. Then during Monday it rose by
6°C. before falling by 10°C during the night. On Tuesday it rose by 4°C and fell by 2°C
overnight.
What were the maximum and minimum temperatures recorded when I looked at the
thermometer on Wednesday morning?

Answers

Answer:

The maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C

Step-by-step explanation:

The given parameters are;

A maximum and minimum thermometer is used which records maximum and minimum values as follows;

Initial temperature on Sunday at the time of resetting the thermometer = 4°C

Temperature drop overnight = 5°C, new low = 4 - 5 =  -1°C,

Temperature rise on Monday = 6°C. New high = -1 + 6 = 5°C

Temperature drop on Monday night = 10°C. New low = 5 - 10 = -5°C

Temperature rise on Tuesday = 4°C = New high = 4 + - 5 = -1°C

Temperature drop on Tuesday night = 2°C. New low = -1 - 2 = -3°C

Therefore, the maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C.

SAVINGS ACCOUNT Demetrius deposits $120 into his account. One week later, he withdraws $36. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?

Answers

Answer:

+$120 - $36

Higher by $84

Step-by-step explanation:

Addition expression is an equation without the equals to sign

$120 - $36

When the first expression was made, the account was higher by $120

After the second transaction, the account would be higher by $120 - $36 = $84

In which direction must the graph of Ax) = x be shifted to produce the graph of g(x) = f(x) - 4?
ОА. up
OB. down
O c. left and down
OD. right and up​

Answers

Answer: B. down

Step-by-step explanation:

Translation rules:

For a function h(x):

h(x+c) is a left-shift by c units.h(x-c) is a right-shift by c units.h(x)+c is a up-shift by c units.h(x)-c is a down-shift by c units.

Here, the graph of f(x) becomes the graph of g(x) =f(x)-4 which is similar to "h(x)-c".

That means , f(x) is shifted 4 units down to become g(x).

So, correct option : B. down

The number of students at a school decreased 20% from 2010 to 2011. If the number of
students enrolled in 2011 was k, which of the following expresses the number of students enrolled in 2010
in terms of k?
A) 0.75k
B) 1.20%
C) 1.25K
D) 1.5k​

Answers

Answer:

C

Step-by-step explanation:

Okay, here we have a reduction in the number of students by 20% from 2010 to 2011.

In 2011, we had k students, so we want to calculate the number of students we had in 2010.

Let the number of students present in 2010 be x

So mathematically;

x - 20% of x = k

x - 0.2(x) = k

0.8x = k

x = k/0.8

x = k * 1/0.8

x = k * 1.25

x = 1.25k

Rewrite the following equation in standard form.
y = -7x - 1

Answers

Standard form is written Ax + By = C where A, B, and C are all integers.

In other words, no fractions.

Also, the A or the coefficient of the x term must be positive.

The only thing we need to do is add 7x to both sides to get 7x + y = -1.

So 7x + y = -1 is our answer.

Answer: 7x+y=-1

Step-by-step explanation:

Add 7x to both sides

Which property can you use to show that 3x + (2x + 4) is equivalent to (3x + 2x) + 47

Answers

Answer:

Associative Property

Step-by-step explanation:

Nathan, a tutor, buys 5 calculators for $7.50 each at a store, planning to provide one to each of his clients. However, the next day, he discovers that the same calculators has gone on sale for $5.00 and also discovers that he will only have three tutoring clients instead of five. He returns the five calculators and purchases three calculators at the new sale price. He uses the following expression to determine the amount he should receive back from the store. (5 x $7.50) - (3 x $5.00) Which of the following expressions could Nathan have used. 5 ($7.50 - $5.00). $7.50 - $5.00. (5 x $7.50) - $5.00. (5 x $7.50) - $5.00. 3 ($7.50 - $5.00) +2 x $7.50

Answers

Answer: 5 (7.50-3 )

Step-by-step explanation:

Given: Previous price of calculator = $7.50

Number of client =5

Total price = (Number of calculators) x (Price for each calculator)

Total price of 5 calculators = (5 x $7.50)

New price of calculator = $5.00

Number of client =3

Total price of 3 calculators  = (3 x $5)

Price will receive = (Total price of 5 calculators) -(Total price of 3 calculators  )

= (5 x $7.50) -  (3 x $5)

= 5 (7.50-3 )

Required expression: 5 (7.50-3 )

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