Features of the function f(x)=-log3x+6

The distance between these two numbers on a number line is equal to -10.6.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

In Mathematics, a number line can be used to determine the difference between two numbers such as -2.2 and 8.4. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

Now, we can determine the distance by taking the difference between both values as follows:

Distance = -2.2 - 8.4

Distance = -10.6.

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Answer: $2128.52

Step-by-step explanation:

[tex]1500(1+.0725)^{5}[/tex]

Step-by-step explanation:

it is very similar to do the manual division of numbers.

5x² - 18x - 15 ÷ x - 4 =

so, we are starting on the left, dividing 5x² by x.

5x²/x = 5x

5x² - 18x - 15 ÷ x - 4 = 5x

then we multiply (x - 4) by 5x and subtract the result from the left part. and then we pull down the next term

5x² - 18x - 15 ÷ x - 4 = 5x

- 5x² -20x

---------------

0 2x - 15

and again, we take the left term and divide by x :

2x/x = 2

5x² - 18x - 15 ÷ x - 4 = 5x + 2

and again we multiply (x - 4) by 2 and subtract the result. and, if there still is one, we pull down the next term.

5x² - 18x - 15 ÷ x - 4 = 5x + 2

- 5x² -20x

---------------

0 2x - 15

- 2x - 8

--------------------

0 -7

there is no more term to pull down, so we are finished.

there is a remainder in the last line unequal to 0.

this becomes therefore -7/(x - 4).

so, the total result is

(5x² - 18x - 15) ÷ (x - 4) = 5x + 2 - 7/(x - 4)

2.

the same thing. we are now dividing the left terms by 3x, and then multiply that result every time with (3x - 2), subtract this abd pull the next term down until there is no more term to be pulled.

6x³ - 16x² + 17x - 6 ÷ 3x - 2 = 2x² - 4x + 3

- 6x³ - 4x²

---------------

0 -12x² + 17x

- -12x² + 8x

-----------------------

0 9x - 6

- 9x - 6

----------------------------

0 0

there is no remainder in the last line, so the result is

(6x³ - 16x² + 17x - 6) ÷ (3x - 2) = 2x² - 4x + 3

Answer:

187.2

Step-by-step explanation:

if the scale is 1:12 then you would need to multiply 12 by the 15.6 which gets you 187.2 miles.

Answer:

4-square root 2/2

Step-by-step explanation:

As per given data of recording of increasing and decreasing of  temperature during different day times , the temperature at 6pm is 7.1°F.

As given in the question,

The decimal value of the temperature at 6 pm was 7.1°F

Nora's temperature recording chart in winter can be tabulated as follows:

Time               Change in Temperature (°F)       Temperature Reading (°F)

9 am                                    -----                                           -12.4

12 noon                                +7.6                                         -4.8

3 pm                                    +13.1                                         +8.3

6 pm                                     -1.2                                          +7.1

Calculation by way of addition / subtraction of decimal is as follows:

-12.4°F +7.6°F = -4.8°F           (increase in temperature from 3 pm to 6 pm)

-4.8°F + 13.1°F = 8.3°F           (increase in temperature from 3 pm to 6 pm)

8.3°F - 1.2°F = 7.1°F               (drop in temperature from 3 pm to 6 pm)

Overall change in temperature from 9 am to 6 pm is 19.5°F (increment)

Therefore, as per given data of recording of increasing and decreasing of  temperature during different day times , the temperature at 6pm is 7.1°F.

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Answer:

89

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

is having -$50 bigger than having $50??

Check the picture below.

Step-by-step explanation:

the same scale factor has to apply to all sides.

we see for the left vertical side that for C it is 3 units long, for D it is 2 units long.

so, the scale factor is

3/2 = 1.5

to go from D to C we have to multiply all lengths by 1.5.

The probability that the first card is a king is 0.08.

Which is probability?

Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated. To forecast the likelihood of events, probability has been introduced in mathematics. The likelihood that something will occur is essentially what is meant by probability. This is the fundamental theory of probability, which is also used to calculate the probability distribution, and it is from it that you will discover the likelihood of various outcomes in a random experiment.

A deck of cards contains 52 cards.

Sample space = 52

there are 4 kings in a deck of cards.

Therefore the probability that the first card is a king = 4/52

=0.0769 approximately = 0.08

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The equation that can be used to represent the proportional relationship between time and the distance a greyhound dog can travel is:

y = 44x.

A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality, as follows:

y = kx.

In which k is the constant of proportionality, also representing the rate between the output and the input for any pair of (input, output) except (0,0).

From the table of distances and time given in this problem, the constant is found as follows:

k = 220/5 = 440/10 = 660/15 = 44.

Hence the constant is of 44 and the relation is given by:

y = 44x.

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Answer:

I would say corresponding angles are converse

Step-by-step explanation:

I'm not that sure though, but I'm looking at my notes and it's kind of similar to the fact that it's corresponding

A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction.

Maribel has :

total slice of pizza left = 3 x7 +7 = 28 slice.

Bruno has :

total slice of pizza left = 4x 5 + 2 = 22 slice.

Since Maribel  has More Pizza .

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Answer:

57x + 5x + 19y by the commutative property for addition.

Answer:

your answer is correct

Step-by-step explanation:

since the quadrilaterals are similar then corresponding angles are congruent.

∠ NKL ≡ ∠ ZWX ≠ ∠ YZW ← not true

∠ LMN ≡ ∠ XYZ ≠ ∠ ZWX ← not true

--------------------------------------------------

the ratios of corresponding sides are in proportion , that is

[tex]\frac{KL}{MN}[/tex] = [tex]\frac{WX}{YZ}[/tex] ← true

[tex]\frac{kl}{yz}[/tex] = [tex]\frac{LM}{XY}[/tex] ≠ [tex]\frac{LM}{ZW}[/tex] ← not true

Answer:

Your answer is correct!

Step-by-step explanation:

I'm just answering so you can give the other person brainliest <3

Answer: 406.67 ft

Step-by-step explanation:

(20x60)/3

1220/3

= about 406.66667

= 406.67

Answer: Degree of Polynomial: 12

Step-by-step explanation:

Answer:

-4 -1 1 3.9 3.99

Step-by-step explanation:

The number can be anything that is less than the number 4.

Hope this helps! :)

The values which satisfy the inequality y < 4 are - 4, - 1, 1, 3, 3.9. 3.99, 3.999.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

An inequality y < 4 is given.

This states that the variable y is strictly less than 4 it could be 3.999999.. but not 4.

Then the value that makes the inequality true are,

- 4, - 1, 1, 3, 3.9. 3.99, 3.999,

If the inequality was y ≤ 4 then 4 could have included 4 only but not 4.001.

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Answer:

21-- 9660 / 460 = 21

Answer:

9660/460 = 21

Step-by-step explanation:

Part a

[tex](f \circ g)(x)=f(g(x))=\sqrt{x+9}[/tex]

Part b

[tex](g \circ f)(x)=g(f(x))=\sqrt{x}+9[/tex]

Part c

[tex](f \circ g)(7)=\sqrt{7+9}=4[/tex]

Part d

[tex](g \circ f)(7)=\sqrt{7}+9[/tex]

Answer: 9 755/9

Step-by-step explanation:

given- a statement

to find-evaluate

soulition-

4 2/9 x 2 4/9

38/9 x 22/9

836/81

9 755/9

Answer:

incomplete question

Answer:

C is the correct graph.

Step-by-step explanation:

Since (0, 0) satisfies the inequality, we draw a dashed line and then shade in the region that has the origin.

Answer:

3,-2

Step-by-step explanation:

3,-2

Answer:

your answer would be 50.

Step-by-step explanation:

Answer: 3.5

Step-by-step explanation: 0.7 rounds to 10, and 35 divided by 10 is 3.5

Answer: .

Step-by-step explanation:

Answer:

48 orange marbles

Step-by-step explanation:

[tex] \frac{6}{5} = \frac{x}{40} [/tex]

[tex]5x = 240[/tex]

[tex]x = 48[/tex]

Answer:

hggssssssssssssssssssss

None of the expressions is equivalent to the given polynomial.

What is a polynomial?

A polynomial is a mathematical statement that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminates (also known as variables) and coefficients. Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximation other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. In higher mathematics, polynomials are used to build algebraic varieties and polynomial rings, two fundamental ideas in algebra and algebraic geometry.

None of the given expressions is equivalent to the given polynomial.

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The first term of the geometric progression will be 81.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

Given that the common ratio of the geometric series is ( 2 / 3 ) and the sum of the first four terms is 171.

The first term of the geometric series will be calculated as:-

[tex]S_n = a_1\dfrac{(r^n-1)}{r-1}[/tex]

[tex]171 = a_1\dfrac{(\dfrac{2}{3}^3-1)}{\dfrac{2}{3}-1}[/tex]

a₁ = ( 171 x 9 ) / 19

a₁ = 9 x 9

a₁ = 81

Therefore, the first term of the geometric progression will be 81.

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