h(x) = 1/x+2 and k(x) = 3x - 4

h[k(x)] =

A.(3x - 4)/(x+2)
B. 1/(4x - 2)
C. 1/(3x - 2)

Let's simplify step-by-step.

9−(x−(7+x))

Distribute the Negative Sign:

=9+−1(x−(7+x))

=9+−1x+(−1)(−7)+−1(−x)

=9+−x+7+x

Combine Like Terms:

=9+−x+7+x

=(−x+x)+(9+7)

=16

Answer:

Numerator 2b^2 + 2a^2

Denominator (b-a)(b+a)^2

2b / (b+a)^2 + 2a / (b-a)(b+a)

2b (b-a) + 2a (b + a) / (b-a) * (b+a)^2

2b^2 - 2ab + 2ab + 2a^2 / (b-a)(b+a)^2

2b^2 + 2a^2 / (b-a) * (b+a)^2

Answer:

is this a question?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\sqrt{5}[/tex] gives an irrational product when multuply it by [tex]0.2[/tex].

" Irrational number is defined as the set of numbers which can not be represented in [tex]\frac{x}{y} , y\neq 0[/tex] form."

According to the question,

Given multiplier [tex]= 0.2[/tex]

A. [tex]0.7[/tex]

The product of  [tex]0.7 \times 0.2 = 0.14[/tex] which is not a irrational number but a decimal number.

Option A is not the correct answer.

B. [tex]5[/tex]

The product of  [tex]5 \times 0.2 = 1[/tex] which is not a irrational number but a whole number.

Option B is not the correct answer.

C. [tex]\sqrt{5}[/tex]

The product of  

[tex]\sqrt{5} \times 0.2 \\\\= \frac{2}{10}\times \sqrt{5} \\\\= \frac{1}{5} \times \sqrt{5}\\\\=\frac{1}{\sqrt{5} }[/tex]

which is a irrational number .

Option C is the correct answer.

D. [tex]\frac{3}{4}[/tex]

The product of  

[tex]\frac{3}{4} \times 0.2\\\\= \frac{3}{4} \times\frac{2}{10}\\ \\=\frac{3}{20}[/tex]

which is not a irrational number but a fraction.

Hence, Option C is the correct answer.

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Answer:

Tamara needs to cover a total of 552 square feet of wall, which is 72 square feet more than the area of the wallpaper she requested for. So, Tamara does not have enough wallpaper to cover the four walls.

Step-by-step explanation:

Given that: width = 8 1/3 feet, length = 11 1/2 feet , height = 12 feet.

The area of a wall to be covered is determined by the product of its length and height, where the width is the thickness of the wall.

Area of the wall = length × height

                          = 11 1/2 × 12

                         = [tex]\frac{23}{2}[/tex] ×[tex]\frac{12}{1}[/tex]

                         = [tex]\frac{276}{2}[/tex]

                         = 138

Area of each wall is 138 square feet.

Total area of the four walls = 138 × 4

                                             = 552

The total area of walls to be covered is 552 square feet.

Therefore:

Tamara needs to cover a total of 552 square feet of wall, which is 72 square feet more than the area of the wallpaper she requested for. So, Tamara does not have enough wallpaper to cover the four walls.

Answer:

49,12 ft²

Step-by-step explanation:

r = d/2 = 8ft/2 = 4 ft

A = At + Ac/2

= b×h/2 + π·r²/2

= 6ft×8ft/2 + 3,14·(4ft)²/2

= 3ft×8ft + 3,14×16ft²/2

= 24ft² + 25,12ft²

= 49,12 ft²

Answer:

Bobby saves 4$.

The new price is 16$.

Step-by-step explanation:

I hope you get it right

Answer:

acute

Step-by-step explanation:

every angle is under 90 degrees

Answer:

The triangle is acute.

Step-by-step explanation:

-According the to following triangle, the angles are acute, because acute angles less wider and they measure less than 90°.

-The reason why the triangle is not a right or obtuse, is because right angles are angles that measure exactly 90°, and obtuse angles are angles that are much wider and they measure greater than 90°.

Answer:

hai

a triangle's sum of interior angels is equal to 180°.

so we have this equailty

y+10°+50+2y = 180

3y+60° = 180.

to solve better, im throwing 60 near 180. 60° is going to be -60 cause of it.

3y=180-60 = 3y=120

now im dividing both 3. because both can divide by 3.

3y/3 = 120/3 = y=40

good luck(:

Answer:

  8

Step-by-step explanation:

The area of a circle with twice the radius is 4 times the area of the smaller circle. If John's hours are proportional to area, we expect it will take him 4 times as long for the larger area.

John can expect to take 8 hours cutting the grass in the larger lawn.

___

The area of a circle with radius r is ...

  A = πr²

The area of a circle with radius 2r is ...

  π(2r)² = 4πr² = 4A . . . . . 4 times the area of the smaller circle

Answer:

It is most likely B

Step-by-step explanation:

I know that D is incorrect, so I assume A and C would be as well since they're similar. Also, money toward retirement is taken out of paychecks at your jobs, so I think it is B

Answer:

retirement

Step-by-step explanation:

Answer: $11,600

Step-by-step explanation:

$2000 * 10% = $200

y = 200x + $2,000

12 * 4 = 48

48 = x

y = 200(48) + $2,000

y = $9,600 + $2,000

y = $11,600

Answer:

Relation between V and c is represented as:

[tex]V = \pi c^{3}[/tex]

When c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.

Step-by-step explanation:

Height of cylinder = Radius of cylinder = c

Volume of cylinder = V

As per formula:

[tex]V = \pi r^{2} h[/tex]

Where [tex]r[/tex] is the radius of cylinder and

[tex]h[/tex] is the height of cylinder

Putting [tex]r = h =c[/tex]

[tex]V = \pi c^{2} \times c\\\Rightarrow V = \pi c^{3} ......(1)[/tex]

The values of c is halved:

Using equation (1), New volume:

[tex]V' = \pi (\dfrac{c}{2})^3\\\Rightarrow \dfrac{1}{8} \pi c^{3}[/tex]

By equation (1), putting [tex]\pi \times c^{3} = V[/tex]

[tex]V' = \dfrac{1}{8} \times V[/tex]

So, when c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.

48.984 meters

Step-by-step explanation:

The distance around a circle is called the circumference, the formula for the circumference is...

[tex]C=\pi d[/tex]

OR

[tex]C=2\pi r[/tex]

Since we have the diameter we will be using the first one.

[tex]C=3.14*15.6[/tex]

[tex]C =[/tex]

48.984 meters.

Answer:

line

Step-by-step explanation:

y= 2+(x-1)*1= x+1

y=x+1

linear function, the graph is going to be a line

Answer:

line

Step-by-step explanation:

Answer:

(0,-22)

Step-by-step explanation:

its correct, trust me

Answer:abc about

Step-by-step explanation: all of them are bad

Answer:

The answers are:

Has two pairs of parallel sides

All four sides are congruent

Both pairs of opposite sides are congruent

There are right angles at all four vertices

The diagonals are perpendicular

The diagonals are congruent

The diagonals bisect each other​

Answer:

One-half times 10 times 24

Step-by-step explanation:

[tex]area \: of \: triangle = \frac{1}{2} \times height \times base \\ \\ area \: of \: triangle = \frac{1}{2} \times 10 \times 24[/tex]

Answer:

One-half times 10 times 24

Step-by-step explanation:

A= 1/2bh

A= 1/2*24*10=120

One-half times 10 times 24

Answer:

Step-by-step explanation:

$10-$2.50=$7.50

$7.50/ $1.50 = 5

Answer:

5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]x = ((-b +/- (b^2 - 4ac)) / 2a[/tex]

The degree in the equation is 2.

The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.

Answer:

A. 2

Step-by-step explanation:

The quadratic formula is:

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

An equation of the form   [tex]ax^2+bx+c=0[/tex]  is only quadratic when [tex]a \neq 0[/tex], therefore it is linear.

Also, by definition, a quadratic equation is an equation where the highest exponent is a square.

Answer:

what are the following?

Step-by-step explanation:

Answer:

The correct answers is D

D) 360 cubic inches

Step-by-step explanation:

We know that the Area of the base of the can is given by

A = 45 inch²

Initial height of the can = 12 inches

Fraction of height cut off = 1/3

Calculate the final height after cutting off:

Find 1/3 of 12 inches:

[tex]\frac{1}{3}\cdot12=4[/tex]

Subtract the answer from 12 to get final height:

Final height = 12- 4 = 8 inches

Can is a form of cylinder, so:

Volume = (Area)(height)

[tex]V=45\cdot8\\V=360inch^3[/tex]

Answer:

A. Store A

Step-by-step explanation:

The median is shown by the very middle line of the box. The middle-most line on the box of store A is greater than that of Store B

Answer:

Option C.

Step-by-step explanation:

It is given that the surface area of a rectangular prism, is

[tex]SA=2(ab+ac+bc)[/tex]

where a, b, and c represent the lengths of the edges of the prism.  

We need to find the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches.

Substitute a=12, b=6 and c=4 in the above formula.

[tex]SA=2((12)(6)+(12)(4)+(6)(4))[/tex]

[tex]SA=2(72+48+24)[/tex]

[tex]SA=2(144)[/tex]

[tex]SA=288[/tex]

The surface area of this prism is 288 sq.inches.

Therefore, the correct option is C.

Answer:

The answer is C

Step-by-step explanation:

Answer:

15y +x = 57(55)

Step-by-step explanation:

Multiplication is the process of multiplying. The product of 1.65 and 1.05×10⁻² is 0.017325.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of 1.65 and 1.05 × 10⁻² can be solved as,

= 1.65 × 1.05 × 10⁻²

= 1.65 × 1.05 × 0.01

= 0.017325

Hence, the product of 1.65 and 1.05×10⁻² is 0.017325.

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First input 6x for y in the top equation

[tex]4x-18x=14[/tex]

simplify

[tex]-14x=14[/tex]

divide both sides by -14

[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex]

simplify

[tex]x=-1[/tex]

[tex]y=6*-1[/tex]

simplify

[tex]y=-6[/tex]

check

[tex]-4--18=14[/tex]

simplify

[tex]-4+18=14[/tex]

x=-1 y=-6

(-1, -6)

Answer: x=1 or x=-3

Step-by-step explanation:

Quadratic formula is [tex]-b+-\sqrt{b^{2}-4ac } /2[/tex]

a=1 b=2 c=-3

Substitute

[tex](-2+-\sqrt{2^{2}-4(1)(-3) }) /2\\(-2+-\sqrt{4+12}) /12\\(-2+-\sqrt{16}) /2\\(-2+-4) /2\\x=\frac{-2+4}{2} \\x=\frac{-2-4}{2} \\\\\\Simplify\\x=\frac{2}{2} \\\\x=\frac{-6}{2} \\\\Simplify\\x=1\\x=-3[/tex]

Answer: $3,239

Step-by-step explanation:

(100 shares) times ($32.39 per share) = $3239

:)

Answer:

$3239

Step-by-step explanation:

No of shares = 100

Market price per share = $32.39

Total expenditure

= No of shares * Market price per share

= 100 * $32.39

= $3239