How do I even start this? And how to i order the equation to solve

How Do I Even Start This? And How To I Order The Equation To Solve

Answers

Answer 1

[tex]f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}[/tex]

This is because

[tex]h(x)=\sqrt x[/tex]

[tex]g(x)=x-1[/tex]

[tex]\implies g(h(x))=\sqrt x-1[/tex]

(that is, replace any instance of x in the definition of g with √x )

and

[tex]f(x)=x^4+4[/tex]

[tex]\implies f(\sqrt x-1)=(\sqrt x-1)^4+4[/tex]

(replace any x in f with √x - 1)

Also acceptable:

[tex](\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4[/tex]

[tex]=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}[/tex]

(assuming x is not negative)


Related Questions

Please Help!!! What is 2x = 40?

Answers

Answer:

Friend your answer is 20

Step-by-step explanation:

You divide 40 by the co-efficient of 2=20

[tex]\boxed{x = 20}[/tex]

There is only one step to this equation. We use inverse operations to isolate the x by dividing 2 on both sides; because 2 is being multiplied by x, and the inverse operation for multiplication is division.

2x/2 = x

40/2 = 20

The equation now looks like:

x = 20

This is your answer.

Factorise : a^2+4a-60 Step by Step​

Answers

Answer:

Step-by-step explanation:

Sum = 4

Product = -60

Factors = 10 , -6

a² + 4a - 60 = a² + 10a - 6a + (-6) * 10

                    =a(a + 10) - 6(a +10)

                    = (a +10) (a -6 )

                   


An_ is the set of numbers that include negative numbers
and the subset of_ numbers (...-3, -2, -1, 0, 1, 2, 3...). Also
described as positive numbers and their opposites and zero.
Blank 1:
Blank 2:​

Answers

Answer:

Integer, rational

Step-by-step explanation:

An integer is normally described as a positive and their opposites and zero. The explaination for blank 2 is a rational number because a rational number can also be an integer and a whole number. Hope this helps!

Answer:

Step-by-step explanation:

The answer is integer. Integer are whole numbers that are either positive or negative including 0.

A recipe for peanut butter cookies calls for 1 cup of sugar, 1 cup of chunky peanut butter, and 1 medium egg. The recipe yields 18 cookies. If the baker has 12.5 cups of sugar, 15 cups of chunky peanut butter, and 10 eggs. How many full batches of cookies can the baker make

Answers

Answer:

10 batches - they only have 10 eggs, so they can't make any more batches without them

In the expression, 9x^3+4x^2+7x+6, what is the constant?

9

7

6

4

Answers

Answer:

6

Step-by-step explanation:

Constant - any number that do not have a variable.Ex.: 6

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

An expression is defined as a set of numbers, variables, and mathematical operations. In the given expression 9x³+4x²+7x+6, the value of the constant is 6.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

In the given expression, 9x³+4x²+7x+6, the value of the constant is the value that does not have any variable with it.

Therefore, in the given expression 9x³+4x²+7x+6, the value of the constant is 6.

Learn more about Expression here:

https://brainly.com/question/13947055

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Sentense 2: what is the answer?

Answers

I think the answer is 2. Look at the photos to make sure I put the numbers in right :)

1+-2/3--m where m=9/2

Answers

Answer:

-25/9

Step-by-step explanation:

1 + (-2/3) - m

Plug in:

1 + (-2/3) - 9/2

1 + 2/3 - 9/2

1/3 - 9/2

-25/9

Hope this helped.

Answer:

4 5/6

Step-by-step explanation:

1+-2/3--m

Subtracting a negative is like adding

1-2/3 +m

1/3+m

m = 9/2

1/3 +9/2

Get a common denominator of 6

1/3 *2/2 +9/2*3/3

2/6 + 27/6

29/6

Changing to a mixed number

4 5/6

2.6767.......

How do I write 2.67 w/ repeating 67 as a simplified fraction,...

Please show work (or provide explination)

Answers

Answer:

[tex]\displaystyle \frac{265}{99}[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] be equal to the fraction form of the decimal.

[tex]x=2.\overline{67}[/tex]

Multiply both sides by 100:

[tex]100x=267.\overline{67}[/tex]

The reason we multiply both sides by 100 is that 2.6767... has two repeating decimals, 6 and 7, and 100 has two zeros.

Now, we have these two equations:

[tex]100x=267.\overline{67}[/tex]

[tex]x=2.\overline{67}[/tex]

Subtract [tex]x=2.\overline{67}[/tex] from [tex]100x=267.\overline{67}[/tex]:

[tex]100x=267.\overline{67}\\- x=2.\overline{67}\\\rule{70}{0.5}\\99x=265[/tex]

Isolate [tex]x[/tex] by dividing both sides by 99:

[tex]\displaystyle x=\frac{265}{99}[/tex]

I hope this helps!

PLEASE HURRY!!!


Find the area of the region that is NOT shaded.

Answers

Answer: 122 square feet

Explanation:

The larger rectangle has area of 14*15 = 210 square feet.

The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.

The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet

Consider the function f(x)=|-x-3/2|-1

Answers

Answer:

x1(1 is on the bottom)= -5/2 (fraction), x2(2 on the bottom)=-1/2 (fraction)

Step-by-step explanation:

Evaluate 10 + 8 ÷ 2 − 4

Answers

Step-by-step explanation:

we will solve this question according to BODMAS rule...

B for bracket

O for of

D for division

M for multiplication

A for addition

S for Subtraction

10+4-4

14-4

10 Answer..

Answer:

10

Step-by-step explanation:

Using order of operations as stated in PEMDAS , that is

division is performed before addition/ subtraction , then

10 + 8 ÷ 2 - 4

= 10 + 4 - 4

= 14 - 4

= 10

Sunita bought a 10 kg box of grapes from the market. She gave 3 1/2 kg of her grapes to her friend Reena and 2 1/4 kg to Anita. How many kilograms of grapes were left with her?

Answers

Answer:

17/4 kg

Step-by-step explanation:

Sunita has = 10kg of grapes

Quantity given out :

To Reena =3 1/2

7/2 kg

To Anita =2 1/4

9/4 kg

Total quantity of grape given out

7/2+9/4

(14+9)/4

23/4

Quantity left after giving out = Total quantity of grape before giving out minus quantity of grape given out

10/1 - 23/4

40-23)/4

= 17/4 or 4 1/4

Hence, she has 17/4 kg of grape left with her

Giving Brainliest for right answers :)

Answers

Answer:

∠ DFE = 15°

Step-by-step explanation:

The inscribed angle DFE is half the measure of its intercepted arc, that is

∠ DFE = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 30° = 15°

Answer:

<DFE = 15

Brainliest, please!

Step-by-step explanation:

<DFE is an inscribed angle. An inscribed angle measures half as much as it's opposite arc.

30 x 1/2 = 15

Please help explanation if possible

Answers

Answer:

17.6

Step-by-step explanation:

Answer:

80 pennies ; 160 nickels

Step-by-step explanation:

Given the 2 equations

0.01p + 0.05n = 8.80 → (1)

n = 2p → (2)

Substitute n = 2p into (1)

0.01p + 0.05(2p) = 8.80

0.01p + 0.1p = 8.80

0.11p = 8.80 ( divide both sides by 0.11 )

p = 80

Substitute p = 80 into (2)

n = 2 × 80 = 160

There are 80 pennies ; 160 nickels

maggie’s brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie

Answers

Answer:

I HOPE IT WILL WORK

Step-by-step explanation:

let age of Maggie =x years

as given that Maggie brother is 3 year less than twice of her age

hence

brother = (2x-3) years

also given that sum of ages =24

hence

x+(2x-3)=24

3 x-3=24

3 x=27

x=9 years Maggie

so his brother=9-3=6 years

pls hit the star and brainlist it if you found it helpfull thanks

What is the area of the shaded region on the graph shown?

Answers

Answer:

As Doris Day said: Good morning to you

Answer 27/2

Step-by-step explanation:

[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]

Please Explain step-by-step

An algebra class contains 30 students. Forty
percent of the students in the class are girls. How
many boys are in the class?

Answers

Answer:

algebra es muy buena materia

So the 30 students as a percent would be 100, so when solving this problem you would put the 40 over the 100. Now you have to multiply 30 times 40 and divide by a 100, which would equal 12. 12 is how many girls there is so now you have to subtract 30 and 12 which would equal 18. Theres 18 boys in the class.

The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days:

n = 2000x + 1000

What does the number 2,000 represent?

Answers

The amount of trash put in the landfill each day.

Answer:

Amount of trash added to the landfill everyday

Step-by-step explanation:

If 2000 represents the amount of trash added to the landfill everyday then 1000 is the starting amount.

I got it right on the test. Hope this helped!

Write an equation in point-slope form for the line through the given point with the given slope.
3
(4, -6); m =

Answers

Answer:

y+6 = 3(x-4)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - -6= 3(x - 4)

y+6 = 3(x-4)

Find the measure of b.

Answers

Answer:

b = 80°

Step-by-step explanation:

The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.

Thus, the angle is = 80°

Therefore, b + 80° = 180° (angle on a straight line = 180°).

Thus, b = 180° - 80° = 100°.

The measure of b is 80°.

On a plane trip, baggage over 40 pounds is charged at the rate per pound of 1% of the one-way fare. The charge for a bag weighing 52 pounds on a trip where the one-way fare is $98 is:

Answers

Answer:

$11.76 is the charge for bag.

Step-by-step explanation:

Given:

One way fare = $98

Weight of bag = 52 pounds

Rate per pound Charges on baggage over 40 pounds = 1% of the one-way fare

To find:

Charge for bag = ?

Solution:

Pounds more than 40 pounds = Weight of baggage - 40 pounds

[tex]\Rightarrow 52-40 = 12\ pounds[/tex]

Charges on extra baggage = 1% of one-way fare multiplied by pounds more than 40.

Here one way fare is $98.

So, charges on extra baggage will be:

[tex]1\%\ of\ 98 \times (52-40) \\\Rightarrow 1\%\ of\ 98\times (12)\\\Rightarrow \dfrac{1}{100}\ of\ (98 \times 12)\\\Rightarrow \dfrac{1}{100}\times (98 \times 12)\\\Rightarrow \bold{\$11.76}[/tex]

So, the charge for the baggage is $11.76.

Which property can you apply to Hayley's expression to show that it is equivalent to Gretchens expression?

Answers

Answer: Distributive property of the multiplication.

Step-by-step explanation:

You did not post Gretchen's expression, but i gues that it is 3*(x + y)

I guess that it is the distributive property of the multiplication.

For 3 numbers, A, B and C, we have that:

A*(B + C) = A*B + A*C

here we have:

3*x + 3*y

We can do the inverse process to the distributive property, and get:

3*x + 3*y = 3*(x + y)

which i guess is Gretchen's expression.

Answer:

the other person is right it is Distributive property of the multiplication.

Can someone please explain this to me? I don’t understand it at all

Answers

Answer:

Step-by-step explanation:

Angle 1 and angle 4 are Alternative angles:

Alternative angles are pair of angles on the inner side of each of those two lines but on opposite sides.

∠1+∠2 =180          sum of straight angle =180 ( angle 2=118)

∠2-∠2=180  ,∠2=180-62=118

∠4+∠2=180           sum of straight angles=180 (∠4=62 degrees)

∠4+118=180  ⇒∠4=180-118 ⇒∠4=62 degrees

  ∠1=∠4                  alternative angles        

35. What is the point-slope form of the
equation for the line with a slope of
-2 that passes through (1,4)?
A. y + 1 = -2(x + 4)
B. y - 1 = -2(x - 4)
C. y + 4 = -2(x + 1)
D. y - 4 = -2(x - 1)


Answers

Answer:

D) y - 4 = -2 ( x - 1 )

Step-by-step explanation:

Point-slope form is y - y₁ = m ( x - x₁ )

so you just plug in your points, hope this helped

D is the answer


………………………….

One week, Daniel earned $554.30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $939.90?

Answers

Answer:

39 hours

Step-by-step explanation:

First, let's find the rate of money per hour:

$554.30 / 23 hour

= $24.1 / 1 hour

Daniel earns $24.10 every hour he works.

To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:

$939.90 / 24.10

= 39

Now, we can check:

$24.10 * 39

= $939.90

Hope this helps!  Please tell me if I was incorrect!

He would work 39 hours next week.

Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).

Answers

Answer:

Step-by-step explanation:

Hope this Helps ;)

WILL GIVE BRAINLY PLEASE HELP!!!!!!!
Describe the type of correlation between two variables on the scatterplot. How do you know? Does the correlation between the variables imply causation? Explain

contains points:
(0.7,1.11)
(21.9,3.69)
(18,4)
(16.7,3.21)
(18,3.7)
(13.8,1.42)
(18,4)
(13.8,1.42)
(15.5,3.92)
(16.7,3.21)

Answers

Answer:

r² = 0.5652  < 0.7 therefore, the correlation between the variables does not imply causation

Step-by-step explanation:

The data points are;

X,          Y

0.7,       1.11

21.9,     3.69

18,         4

16.7,      3.21

18,         3.7

13.8,      1.42

18,          4

13.8,      1.42

15.5,      3.92

16.7,       3.21

The correlation between the values is given by the relation

Y =   b·X + a

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

Where;

N = 10

∑XY = 499.354

∑X = 153.1

∑Y = 29.68

∑Y² = 100.546

∑X² = 2631.01

(∑ X)² = 23439.6

(∑ Y)² = 880.902

From which we have;

[tex]b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566[/tex]

[tex]a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704[/tex]

[tex]r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}[/tex]

[tex]r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6 \right )\times \left (10 \times 100.546- 880.902\right )} } = 0.7518[/tex]

r² = 0.5652  which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.

What is the image of the point (-1,3) after a rotation of 270° counterclockwise
about the origin?

Answers

Answer:

3,-1

Step-by-step explanation:

The image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).

The given coordinate point is (-1, 3).

What is a rotation of 270° counterclockwise about the origin?

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.

The point (-1, 3) is rotated 270° counterclockwise about the origin becomes (3, -1).

Therefore, the image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).

To learn more about the rotation of 270° counterclockwise visit:

brainly.com/question/9109065.

#SPJ2

HHHHEEEEELLLLLPPPPPPP PLEASEEE ANSWER #1 AND #2

Answers

Answer:

37 = -3 + 5(k +6)

37 = -3 + 5k + 30

37 = 27 + 5k

10 = 5k

k = 2

-2 = -(w - 8)

-2 = -w + 8

-10 = -w

w = 10

Answer:

37=-3+5(k+6)                                            

37=-3+5k+30

37=27+5k

37-27=5k

5k=10

k=10/2

k=5

***********************************************************************************

-2= -(w-8)

-2=-w+8

-2-8=-w

-w=-10

w=10

please solve this question.​

Answers

[tex]\left(\dfrac{1}{1+2i}+\dfrac{3}{1-i}\right)\left(\dfrac{3-2i}{1+3i}\right)=\\\\\left(\dfrac{1-2i}{(1+2i)(1-2i)}+\dfrac{3(1+i)}{(1-i)(1+i)}\right)\left(\dfrac{(3-2i)(1-3i)}{(1+3i)(1-3i)}\right)=\\\\\left(\dfrac{1-2i}{1+4}+\dfrac{3+3i}{1+1}\right)\left(\dfrac{3-9i-2i-6}{1+9}\right)=\\\\\left(\dfrac{1-2i}{5}+\dfrac{3+3i}{2}\right)\left(\dfrac{-3-11i}{10}\right)=\\\\\left(\dfrac{2(1-2i)}{10}+\dfrac{5(3+3i)}{10}\right)\left(\dfrac{-3-11i}{10}\right)=[/tex]

[tex]\dfrac{2-4i+15+15i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{17+11i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{-51-187i-33i+121}{100}=\\\\\dfrac{70-220i}{100}=\\\\\dfrac{70}{100}-\dfrac{220i}{100}=\\\\\boxed{\dfrac{7}{10}-\dfrac{11}{5}i}[/tex]

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