Which do you prefer: leaving √5 in radical form, or converting it to a decimal? Why? When would it be useful to use each?

Above picture are the steps

Answer:

2x

_______

x2−3x+2

or 2x/x2-3x+2

It’s a personal challenge

Answer:

12.96 ft ³

Step-by-step explanation:

Answer:

4m^7y^2/-3

Step-by-step explanation:

Answer:

P(x)=3x-150

Step-by-step explanation:

It is given that,

Daily revenue, R(x) = 5x, x is the number of customers that visit the gym each day

The daily cost pf the gym, C(x) = 2x+150

We need to find the profit function. It is given by :

P(x) = R(x) - C(x)

P(x) = 5x-(2x+150)

P(x) = 5x-2x-150

P(x)=3x-150

So, the correct option is (c) "P(x)=3x-150".

Answer:

Strips should be 1.5 ft wide.

Step-by-step explanation:

Given:

Width of 1st piece = 6 ft

Width of 2nd piece = 7.5 ft

To find:

To find the maximum width possible to make strips of equal size from both the pieces.

Solution:

This problem can be visualized as if we are given two numbers and we have to find the Highest common factor for both of them i.e. HCF of 6 and 7.5 will be our answer.

Let us try to factorize the given factors:

[tex]7.5 = 3 \times 2.5 = \underline {3 \times 0.5} \times 5[/tex]

[tex]6 = 3 \times 2 = \underline {3 \times 0.5 }\times 2[/tex]

The common factors are highlighted above as underlined.

Therefore, the answer is 3 [tex]\times[/tex] 0.5 = 1.5 ft

Strips should be 1.5 ft wide.

Answer:

1 + 2x = f(x) i believe

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x

[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]

Answer: Marcie will pay $25.97

Step-by-step explanation:

Step-by-step explanation:

pls make me as brainleist

Answer:

fraction of the wall is limestone is 4/22

or 2/11 as a reduced fraction

Step-by-step explanation:

fraction of the wall is limestone is 4/22

the width is 22 in total

10 inches concrete = 10/22

8 inches brick : 8/22

4 inches limestone : 4/22

10/22+8/22+4/22=22/22=1

Answer:

49, 35, and 32

Step-by-step explanation:

A composite number is one that may be generated by multiplying two smaller positive numbers. The correct options are A, B, and C.

A composite number is one that may be generated by multiplying two smaller positive numbers. It is a positive integer with at least one divisor other than 1 and itself.

Composite numbers are those numbers that are divisible by other numbers and form 1 and itself as well.

49

49 is divisible by 7, therefore, it is a composite number.

35

35 is divisible by 7, therefore, it is a composite number.

32

32 is divisible by 2, therefore, it is a composite number.

41

Since 41 is not divisible by any other number except 1 and itself, therefore it is not a composite number.

47

Since 47 is not divisible by any other number except 1 and itself, therefore it is not a composite numbers.

Hence, the correct options are A, B, and C.

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Answer:

6 100

Step-by-step explanation:

i found the answer because if you notice, once it gets to 3 52, 4 66, and 5, 82 it goes up 2 each time. So the answer would be 6 100!

Greetings from Brasil...

Solving the inverses of these functions and applying the composite we obtain:

(G⁻¹ о F⁻¹) = X

Note that (F⁻¹ о G⁻¹) also results in X (see second annex)

Answer:

It's the 3rd answer choice

Answer:

10

Step-by-step explanation:

| 2+3(-4)|

Using PEMDAS, multiply first

| 2+-12|

Then add

| -10|

Then take the absolute value

10

Answer:

[See Below]

Step-by-step explanation:

Rewrite:

* |2 + 3 x -4|

Solve:

* 2 + 3 = 5

* 5 x -4 = -20

Now solve using absolute value:

* -20 = 20

(With absolute value it's just a short way of saying no negatives or fractions. It'd be the whole number of the number. Another example of this would be 8/1; the absolute value would be 8.)

Answer:

the area of grass is 314 square feet

Step-by-step explanation:

The radius of the circle the goat can reach is given by the length of the rope that ties the goat to the post (10 ft)

Then the area of the circle is: [tex]Area=\pi\,R^2=3.14\,(10\,\,ft)^2=3.14 * (100)\,ft^2=314 \,\,ft^2[/tex]

So the area of grass is 314 square feet

Answer:

4.76

Step-by-step explanation:

Answer:

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be : 4048.17

Step-by-step explanation:

3000 deposit amount, 2.9 compound monthly interest .  save 80 dollars  per month at home .

A=p(1+r)^t

A=3000(1+0.029/12)^12t

A=3000(1.002417)^12t dollars

for the amount saved at home=80*12t=960t dollars

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be :

C(t)=3000(1.002417)^12t+960t

     =3088.17+960= 4048.17 dollars

Answer:

Step-by-step explanation:

[tex](a-b)^{2}[/tex] = [tex]a^{2}[/tex] - 2ab + [tex]b^{2}[/tex]

Hope this helps

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Answer:

if y=4.then 6(r+4).

which is 6r+24.

and if it is equal to zero which is like this then it will be 6r+24=0.

which will be 6r=-24.

r= -24/6.

r= -4.

Answer:

The product is usually smaller than the two numbers multiplied

Step-by-step explanation:

When we multiply two decimals less than one, it is a certainty that the result of the multiplication would be less than the two decimals that were multiplied. An example is the multiplication of the decimals below;

0.958 * 0.325

which equals 0.31135

We can see from the example above that the result of the multiplication of the two decimals that are less than one, results in a product that is less than the factors that were multiplied.

Answer:

-[tex]\sqrt{1}[/tex], [tex]\sqrt{2}[/tex], [tex]\frac{π}{2}[/tex]

Step-by-step explanation:

square roots and pie are irrational.

Answer:

18 mph.-

Step-by-step explanation:

This is 2*54 / 6

= 18 m p h.

Answer:

answer is in the box. I hope that helps! :)

Answer:

Umm may be 105

Step-by-step explanation:

here a=5 b=7

3ab means 3×a×b

so,

3×5×7

=105

Answer:

[tex]\Huge \boxed{\mathrm{105}}[/tex]

Step-by-step explanation:

[tex]3ab[/tex]

The value of [tex]a[/tex] is given 5.

The value of [tex]b[/tex] is given 7.

[tex]\Rightarrow 3(5)(7)[/tex]

Evaluate the expression.

[tex]\Rightarrow 105[/tex]

Answer:

a0 = 4

Step-by-step explanation:

Answer:

[tex]\huge\boxed{8^{-2}=\dfrac{1}{64}}[/tex]

Step-by-step explanation:

[tex]a^{-n}=\dfrac{1}{a^n}\Rightarrow 8^{-2}=\dfrac{1}{8^2}=\dfrac{1}{8\cdot8}=\dfrac{1}{64}[/tex]

other examples:

[tex]3^{-1}=\dfrac{1}{3^1}=\dfrac{1}{3}\\\\4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot4\cdot4}=\dfrac{1}{64}\\\\\left(\dfrac{1}{3}\right)^{-2}=3^2=3\cdot3=9\\\\\left(\dfrac{2}{5}\right)^{-3}=\left(\dfrac{5}{2}\right)^3=\dfrac{5^3}{2^3}=\dfrac{125}{8}[/tex]

Answer:

The answer is

Step-by-step explanation:

15/44

Answer: 2m-4

Step-by-step explanation:

 2(m-5)+6

=2m-10+6

=2m-(10-6)

=2m-4

Hope this helps!! :)

Please let me know if you have any question

Answer:

2m-4

Step-by-step explanation:

2(m-5)+6

=2m-10+6

=2m-4

Answer:

D. 82 square units

Step-by-step explanation:

The area of the given rectangle is 82 square units. The correct option is (D).

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)^2 + (y₁ - y₂)^2).

By knowing the sides, the area of different polygonals such as parallelogram, trapezium and rectangles etc. canbe found.

The vertices of the rectangle are given as (9, – 1), (-1, 7), (-5, 2), (5, 6).

Suppose A, B, C and D are the corresponding vertices.

In order to find the area length and breadth is required.

Here, AB is the length and BC is the breadth which can be found using the distance formula as,

AB = √((-1 - 9)^2 + (7- (-1))^2)

     = √(10² + 8²)

     = 12.8

BC = √((-5 - (-1))^2 + (2 - 7)^2)

     =√(-4² + -5²)

     = 6.4

Thus, Area = AB ×  BC

                  = 12.8 × 6.4

                  = 81.92

Which is approximately 82.

Hence, the area of the rectangle is 82 square units approximately.

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