Hi, could you help me with this substitution question?
I'd really appreciate if you added workings out as I'm terribly confused.
Thanks,

Answer:

Inverse g(x) = -x/3-6

Step-by-step explanation:

To understand this just think g(x) as y so

we got y= -3(x+6) after that we change the minus three to left

so we got -y/3 because -3 is multiply. After that plus 6 came and become minus 6.

After all,you have to replace x in y place.

y = -3(x +6)

-y/3 = x +6

-y/3 -6 = x

-x/3 -6 = g(x)

Answer:

x-int=(2,0)

y-int=(0,4)

Step-by-step explanation:

[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]

Generally, the equation for the function is mathematically given as

f(x) = -5x + 11 + 10

Therefore

When x >= -1, the function decreases because f(x) = -5(x+1)+10.

This means that the function is dropping throughout this range[tex](-1,\infty).[/tex]

b)

A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).

In conclusion, The number line will represent

Using the point where the intervals with decreasing functions overlap

[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]

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Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

Finding the proportionality constant :

Finding y when x = 17 :

The value of y is 8/17 when x = 17.

Answer:

183

Step-by-step explanation:

The absolute value of a number is the number's distance from zero, which will always be a positive value. To find the absolute value of a number, drop the negative sign if there is one to make the number positive.

Answer: 183 ✅

Step-by-step explanation:

Hii, do you need to know the absolute value of "-183"? No problem! (:

The absolute value of a number is that number's distance from zero.

That's why absolute value is always positive, because negative distances don't exist.

That's why the absolute value of a number is always positive.

| | denotes absolute value

[tex]\large\boldsymbol{\therefore,\;the\;absolute\;value\;of\;-183\;is\;183}}[/tex]

Voila! There's our answer, cheers! (:

Hope that this helped! Best wishes.      

[tex]\bigstar\underbrace[/tex]

Answer: I'm 90% sure that the S inside the angle is spatial points

The full Definition of the symbol combination is approximately equal to Spatial points?

Step-by-step explanation:

I searched s inside angle symbol and these are my results. "The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays."   I'm sorry if I'm wrong.

Step-by-step explanation:

2600 = 2000•e^3k

e^3k = 2600/2000

e^3k = 13/10

3k = ln(13/10)

k ≈ 0.087

P = 2000•e^0.087•9

P = 4376

Answer:

The answer would be D    7mn+3m/2+5n/4

Step-by-step explanation:

A polynomial is a combination of terms separated by +

or  − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Answer:

$2,400

Step-by-step explanation:

Total Amount withdrawn from bank = Withdrawn amount spent + Withdrawn amount remaining = $450+$150 = $600

1/4 of Savings in bank = $600

Total savings in bank = [tex]600/\frac{1}{4}[/tex]

= 600 * 4

= $2,400

Answer:

An expression for the temperature on February 10  =  -15F +42F = 27F

Step-by-step explanation:

the problem given is based on the algebra of simple addition : -

Addition of Algebraic Expressions : -

In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.

Two ways to solve addition of algebraic expressions.

Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.

Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.

so the question can be solved using Horizontal method :-

temperature on 9 Feb = -15F

temperature rose on 10th Feb = 42F

so the temperature on 10th Feb is :

-15F +42F = 27F

therefore, an expression for the temperature on February 10 is

-15F +42F = 27F (answer)

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The telephone number datatype is text or string

The term is given as:

telephone number

A telephone number contains the following

The optional parts of a phone number makes it difficult to use the numeric datatype for a phone number.

So, we make use of text or string datatype

Also, the phone number cannot be used in calculations.

Hence, the telephone number datatype is text or string

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The telephone number is what type of data

There are 175 students out of the 1,000 would you expect to prefer a silver car.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car.

Now, We have there are 14 students out of 80 prefer silver car for their first car.

Hence, By using proportion, we get;

⇒ 14/80 = x / 1000

⇒ 14 × 1000 / 80 = x

⇒ x = 175

Thus, There are 175 students out of the 1,000 would you expect to prefer a silver car.

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Answer:

                     175

（￣︶￣）↗　

Step-by-step explanation:

Answer:

-32/21

Step-by-step explanation:

First, we can convert -0.35 into a fraction: -35/100, which could be further simplified to -7/20.
Dividing a fraction by another is the same thing as multiplying a fraction by the reciprocal (denominator over numerator) of the fraction. Therefore, we can rewrite this expression as: 8/15 * -20/7
To find the answer to that, you simply multiply the numerators together and the denominators together separately. The final answer is -32/21.

Answer:

-1 11/21

First step:

First, you change the decimal into a fraction. To do that you look at the decimal place at the end of -0.35. The decimal place is hundredths. That means the fraction form of -0.35 is -35/100.

Now to simplify it just find out what both the numbers can be divided by. In this case, 35 and 100 can be divided by 5. If you divide them both by 5 you get -7/20

Fraction form: -7/20

Second step:

Now you just plug it in to the equation.

8/15÷(-7/20)

To solve this you need to change it to multiplication and flip the second fraction.

8/15×(-20/7)

Final step:

Now you multiply the fractions.

8/15×(-20/7)= -32/21 or -1 11/21

Final answer: -1 11/21

Answer:

c.) -3x + 6 = -9

Original question answer:

2x - 4 = 6

2x = 6 + 4

2x = 10

x = 10/2 = 5

===========

a) 5x - 6 = -11

5x = -11 + 6

5x = -5

x = -1

b) -4x - 2 = 10

-4x = 10 + 2

-4x = 12

x = 12/-4 = -3

c) -3x + 6 = -9

-3x = -9 - 6

-3x = -15

x = -15/-3 = 5

d) 2x + 3 = 7

2x = 7 - 3

2x = 4

x = 4/2 = 2

Answer:

Step-by-step explanation:

2x - 4 = 6    |add 4 to both sides

2x = 10    |divide both sides by 2

x = 5

a)

5x - 6 = -11   |add 6 to both sides

5x = -5    |divide both sides by 5

x = -1 ≠ 5

b)

-4x - 2 = 10   |add 2 to both sides

-4x = 12    |divide both sides by  (-4)

x = -3 ≠ 5

c)

-3x + 6 = -9     |subtract 6 from both sides

-3x = -15     |divide both sides by (-3)

x = 5 √

d)

2x + 3 = 7    |subtract 3 from both sides

2x = 4    |divide both sides by 2

x = 2 ≠ 5

The rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)

See attachment for complete question

From the image, we have:

P = (1,1)

Q = (1,5)

R = (3,5)

S = (3,1)

Start by reflecting PQRS across the y-axis. i.e. r y-axis

This is done by

(x, y) -> (-x,y)

So, we have:

P' = (-1,1)

Q' = (-1,5)

R' = (-3,5)

S' = (-3,1)

Next, we rotate by 90 degrees counterclockwise i.e. RO, 90° (x, y)

This is done by

(x, y) -> (-y, x)

So, we have:

P'' = (-1,-1)

Q'' = (-5,-1)

R'' = (-5,-3)

S'' = (-1,-3)

Hence, the rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)

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The important similarity between the uniform and normal probability distributions is that the mean and the median of both distributions are equal

In a normal probability distribution, we have:

Mean = Median

In a uniform probability distribution, we have:

Mean = Median

This means that:

In both distributions, the mean and the median are equal

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To form equations from word problems, we can derive mathematical operations as well as variables from the given information.

In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.

Let r represent the pages left to read.

792 pages in total

Walker reads 15 pages a day during the week and 25 pages a day during the weekend.

5 weeks have passed

r = 792 - (5×15 + 2×25)×5

The degrees of freedom in testing for differences between the means of two dependent populations where the variance of the differences is unknown are: df = n - 1

In statistics, degrees of freedom refers to the number of distinct values that can change in an evaluation without exceeding any constraints.

The degree of freedom is crucial and necessary when attempting to comprehend the significance of a test statistic and the validity of the null hypothesis.

In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are: df = n - 1

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Answer:

C.  20 ≤ h < 30

Step-by-step explanation:

Median

The value in the middle of the data set when all the data values are placed in order of size.

As this is grouped data, we can only estimate the median.

Add an extra row to the table showing the Cumulative Frequency:

[tex]\begin{array}{|c|c|c|}\cline{1-3} \sf Height & \sf Frequency & \sf Cumulative\:Frequency \\\cline{1-3} \sf 0 \leq h < 10 & 1 & 1 \\\cline{1-3} \sf 10 \leq h < 20 & 9 & 10 \\\cline{1-3} \sf 20 \leq h < 30 & 7 & 17 \\\cline{1-3} \sf 30 \leq h < 40 & 13 & 30 \\\cline{1-3}\end{array}[/tex]

To find which class the median is in, divide the total number of data values by 2:

[tex]\implies \sf \dfrac{n}{2}=\dfrac{30}{2}=15[/tex]

Therefore, there are 15 values less than or equal to the median.

From the table, the 11th to 17th data values are in class 20 ≤ h < 30.  Therefore, the median must be in the 20 ≤ h < 30 class.

Answer:

C (look at explain!)

Step-by-step explanation:

Answer:

A. Corresponding Angles

Step-by-step explanation:

1. ∠4 and ∠6 = 180°

2. ∠3 and ∠5 = 180°

3. So, ∠5 and ∠6 are the same angles.

Answer:

See below

Step-by-step explanation:

This is a line and a parabola......where they intersect the two equations are      equal :

2x+7 = x^2 - 1

x^2 - 2x -8 = 0

(x-4)(x+2) = 0         shows the x-coordinate for intersections at x = 4 and -2

sub these x values into one of the equations to calculate the y coordinate

 y = 2(4) + 7 = 15      so one point is  4,15

y = 2(-2) + 7 = 3      the other point is then  -2, 3

Sorry, I think my answer to your question is wrong.

The only increasing function is the last option:

[tex]f(x) = 5^x[/tex]

Here we only need to see that, is as x increases also do f(x). Then the function will be increasing.

The cases for exponential functions is actually more trivial than that.

In the given options there is only one function with a base larger than 1, which is the last option:

[tex]f(x) = 5^x[/tex]

That is the correct option.

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Answer:

4,944

Step-by-step explanation:

Answer:

I think it’s C

Step-by-step explanation:

I think

The probability of getting M from the word MATH placed in hat is 0.25.

Probability is defined as the ratio of the number of favorable results to the total number of elements of an event.

P=  number of favorable outcomes / total number of outcomes of an event

A. The problem is the probability of finding A

B. The given are MATH i.e. {M,A,T,H}

C. the operation used will be selecting a word from hat of word MATH

D. the mathematical statement from the probability of finding  M will be

    P(getting M from word MATH)

E. the answer to the problem will be calculated as

    no. of element in the hat=4 i.e. {M,A,T,H}

    no. of favorable outcomes= 1 i.e. {A}

     P(getting A from word MATH) = number of favorable outcomes/ number of total outcomes

⇒  P(getting A from word MATH) = 1/4

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An equation is formed when two equal expressions. There are 21 $20 bills and 24 $5 bills.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of $5 bills be x, while the number of $20 bills be y.

Given there were 3 more $5 bills than $20 bills. Therefore, this can be represented as

x = y + 3

Also, The total worth of the dominations is $540. Therefore, we can write,

5x + 20y = 540

Substitute the value of x form the first equation,

5x + 20y = 540

5(y+3) + 20y = 540

5y + 15 + 20y = 540

25y = 525

y = 21

Substitute the value of y in the first equation,

x = 21 + 3

x = 24

Hence, there are 21 $20 bills, and 24 $5 bills.

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Answer:

22

Step-by-step explanation:

6( n^2 +2)

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

n

Let n = 3

6( 3^2 +2)

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

3

Parentheses first

6( 9 +2)

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

3

6( 11)

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

3

Top of the fraction next

66

-----

3

Divide

22

Answer:

46,57/4

Step-by-step explanation:

area = π.r^2 = π.(d^2)/4

d^2 = AB^2= 5,6^2+3,9^2 =46,57

----> area = π.46,57/4

Answer:

Given:  L is the midpoint of [tex]\overline{JM}[/tex]  (given)

[tex]\overline{JL} =\overline{LM}[/tex]  (definition of a midpoint)

Given:  [tex]\overline{JK} \parallel \overline{NM}[/tex]  (given)

[tex]\angle KJL \cong \angle NML[/tex] (alternate interior angles theorem)

[tex]\angle JKL \cong \angle MNL[/tex] (alternate interior angles theorem)

[tex]\triangle JKL \cong \triangle MNL[/tex]  (SAA postulate)

(I have also created it in table form and attached a screenshot)