Is it a function or not a function?

Answer:

x=4

Step-by-step explanation:

on edge

The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16

When you raise a number with an exponent, there comes a result.

Lets say you get[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We are given the function as;

log₇(3x²+x)-log₇x=2

Domian: 3x²+x>0

x(3x+1)>0

x∈(-∞,-1/3)U(0,∞)

Hence, x∈(0,∞), Thus x∈(0,∞)

In this problem we use the following formula:

 [tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]

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Answer: 1 Red Block

Step-by-step explanation:

2:8 is the existing ratio shown in the graph. And so I think if we divide both sides by 2 we get 1:4 which is what we want. So we take the 1 part which is red. 1 Red Block.

Step-by-step explanation:

There ya go my laddie. enjoy.

Answer:

1. 8v^4 + 6v^2

2. -7n - 3

3. 2a^3 - 6a

4. -2x^4 + 8x

Step-by-step explanation:

you remove the parentheses, group( or put )the terms together, then combine the like terms, and you'll get your answers.

Answer:

  32

Step-by-step explanation:

  [tex]\log a=7\hspace{15px} \log b=10\hspace{15px} \log c=3\\\\ \log \dfrac{a^8c^2}{b^3}=8\log{a}+2\log{c}-3\log{b}=(8)(7)+(2)(3)-(3)(10)\\\\=56+6-30=\boxed{32}[/tex]

__

The applicable rules of logarithms are ...

  log(ab/c) = log(a) +log(b) -log(c)

  log(a^b) = b·log(a)

Opposite angles are equal.

Opposite sides are equal and parallel.

Diagonals bisect each other.

Sum of any two adjacent angles is 180°

There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.

A number system is defined as a system of writing to express numbers.

Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.

We need to count the number of perfect squares between 1 and 100. These include:

1² = 1

2² = 4

3²= 9

4² = 16

5² = 25

6² = 36

7²= 49

8² = 64

9² = 81

10² = 100

So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.

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Answer:

201.06

Step-by-step explanation:

A=πr2

R= 16/2= 4cm

A= 22/7 x 4 x 4

A= 201.06

Answer:

Yes, it is

Step-by-step explanation:

It is biased because all of the employees have over a decade of experienc, what about the newly hired ones?

Answer:

201ft

Step-by-step explanation:

The circumference of a circle is equal to

C=piD

d=64ft

substitute:

c=pi(64)=64pift ft

assume pi=3.14

64pi=64*3.14=200.96ft

round to the nearest whole number:

200.96=201ft

another explanation:

Answer:

Length of the fencing required = 201.06 meters

Step-by-step explanation:

Architect is planning a circular playground with diameter = 64 m

We have to calculate the fencing required to cover this playground.

Length of fencing = circumference of the playground

Since circumference of a circle = π × (Diameter)

                                                   = 64π

                                                   = 201.06 meters

Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.

200.96 meters of fencing needs to go up to keep the kids in the circle. Therefore, option D is the correct answer.

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

Given that, diameter of a circle is 64 meter.

Here, the radius = 64/2

= 32 meter

We know that, the circumference of a circle can be calculated using 2πr.

Now, circumference = 2×3.14×32

= 200.96 meters

Therefore, option D is the correct answer.

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Answer:

3.444

Step-by-step explanation:

3.444

Answer:

7.7 %

Step-by-step explanation:

352-325

=27

27/352 x 100/1

7.670

=7.7%

Answer: 7.7%

Step-by-step explanation:

1. 352 - 325 = 27. This is how many students left.

2. x/100 = 27/352 is the equation.

3. Solve for x: 2700/352 = x = 7.6704

This rounded to the nearest tenth is 7.7%

Answer:

ummm ummm i dont know

Step-by-step explanation:

Answer:

B (-5,5)

Step-by-step explanation:

-12+a/2=-6

-7+a=-12

a=-12+7

a=-5

-3+b/2=1

-3+b=2

b=2+3

b=5

Answer: C.

Step-by-step explanation: if you add 25.50 to every number it makes sense, since the decimal went from .25 to .75.

Answer:

Step-by-step explanation:

7) The tangent angles are 90° each.

The angles of a quadrilateral add up to 360°, so ? = 360°-90°-90°-73° = 107°.

8)  Solve this the same way as question 7). ? = 360°-90°-90°-57° = 123°.

Questions 9) and 10) are cut off, so I assume you don't need to know those.

Answer:

8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+6^2=10^2

a^2=10^2-6^2

a^2=100-36

a^2=64

a=square root of 64

a=8

Answer: The picture is the answer to your question

Answer:

1) associative property addition

2) The Distributive Property

3) associative property multiplication

4) Commutative property of multiplication

5) associative property addition

I hope this helps a little bit.

Answer:

Well, you would need to divide 44 by the numbers you have so 44/4=11

Answer:

3y + 6

Step-by-step explanation:

3 x y = 3y

3 x 2 = 6

3y + 6

Answer:

jsjjsjejehehhejejejejejejejejjejrjejrjr

Answer:

3.4

Step-by-step explanation:

5x=12x-28

28=12x-5x

28=8x

28÷8=3.4

Answer:

n=56 is the correct answer

3×14=42 so,

4×14=56

:)

The equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

Given that, the line PQ has equation y = 3x - 8 and point P has coordinates (6, 10).

We need to find the equation of the line that passes through P.

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1/m.

Here, the slope of the equation is 3.

The equation of the line that passes through P and is perpendicular to PQ is -1/3.

Now, 10=-1/3(6)+c

⇒c=12

Thus, y=-1/3x+12

Therefore, the equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

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Answer:C

Step-by-step explanation:

Leo bought 4 large coffees.

Answer:

its: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 inches

Answer:

68.5 inches

Step-by-step explanation:

The pythagorean theorem is a^2+b^2 = c^2

In this case, a = 60, b = 33, and we are looking for c, so this is how you do it:

60^2 + 33^2 = 3600 + 1089 = 4689

sqrt(4689) = 68.47627326...

Rounded to the nearest tenth is 68.5!

Jawab:

A

Penjelasan dengan langkah-langkah:

jari jari : 10 cm

t = 1570/3,14 x 102

t = 5 cm