Numbers in front of variables
4a - 8b+ C
What's the coefficient for b in the above expression?
Answer
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Our function is a parabola, therefore, it has only one critical point which is its vertex. Since the coefficient of the squared term is negative, the vertex is the maximum point.The critical points of a function are given by the zeros of the first derivative. The first derivative of our function is:

The solutions for the following equation are the critical points of the original function:

The maximum point happens at x = - 3.

To find the corresponding value, we just have to evaluate x = - 3 into our function:

The maximum value of the function is 1, and it occurs at x = - 3.

Answer: The function has a maximum value

               The function's maximum value is 1

               The function's maximum value occurs at x=-3

Step-by-step explanation:

Given equation: [tex]g(x) = -3x^ - 18x - 26[/tex]

We shall use the differentiation method to find the answer.

Differentiating the equation, we get   [tex]g'(x) = - 6x - 18[/tex]

equating g'(x) = 0,

[tex]-6x - 18 = 0\\-6x = 18 \\x = -3[/tex]

Hence the minimum/ maximum value of the function lies in x = -3

on equating x>-3, g'(x) is negative

on equating x<-3, g'(x) is positive

this proves that first, the function was increasing and after x = -3, the function started to decrease hence at x=-3, the function g(x) was at its maximum value

The function's maximum value at x=-3 is

[tex]g(x) = -3x^2 - 18x - 26\\g(-3) = -3(-3)^2 - 18(-3) - 26\\g(-3) = -3(9) +54 -26\\g(-3) = 54 - 27 -26\\g(-3) = 1[/tex]

The probability of getting heads on both occasions will be 0.25.

It should be noted that probability simply means the likelihood that a particular event will happen.

In this case, if I flip a coin, i have a 50 percent chance that it will land on heads and after the first coin flip, we still have a 50 percent chance that the next flip will result in a head.

The probability will be:

= P(head) × P(head)

= 50% × 50%

= 1/2 × 1/2

= 1/4

= 0.25

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From the given options,√75 and 5π are the irrational numbers with a value greater than 5.

Irrational numbers are real numbers that cannot be represented as simple fractions. It cannot be expressed mathematically.

We need to find an irrational value which is greater than 5 from the options given as follows:

A. √75

B. 5.9

C. 5pi

D. 5

Options B and D are not irrational numbers so both are incorrect options.

For Option A,

[tex]\sqrt{75}[/tex] = 8.66

For Option C,

5π = 15.70

We can see that both options A and C have irrational value greater than 5.

As a result, from the options given,√75 and 5π are irrational numbers with a value greater than 5.

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Answer:

Add y and 3y

= 4y

Step-by-step explanation:

In case whereby At a garage sale, Liyah priced her scooter for $15.50. She ended up selling it for $10.75 the percent of decrease in the price of the scooter is 30.65%.

The price that she bought the scooter is given as $15.50

The price that she sold the scooter is given as  $10.75

The the amount that was lost will now be ( $15.50-  $10.75 )= $4.75

Then the percent of decrease will now be calculated as  ($4.75/ $15.50 *100%)

Then the  percent of decrease will now be 30.65%

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When the class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students, the expression is s / 3 <= 14.

It should be noted that an expression is simply used to illustrate the relationship between the variables that are given.

From the mr. Jones algebra class has too many students in it and each class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students.

The expression will be let the total students be represented by s. This will be:

s / 3 <= 14

The expression is s / 3 <= 14.

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Write a mathematical sentence that expresses the information below use s as your variable mr.jones algebra class has too many students in it. if each class were split exactly in equal parts to form 3 be classes each class would have no ore than 14 students

Answer:

-10x - 29 = -18x + 91

x = 15

Step-by-step explanation:

29 less than -10 times a number is equal to -18 times the number plus 91:

-10x - 29 = -18x + 91

add 21 to both sides:

-10x - 29 + 29 = -18x + 91 + 29

-10x  = -18x + 120

add 18x to both sides:

-10x + 18x  = -18x + 120 + 18x

8x = 120

divide both sides by 8:

8x/8 = 120/8

x = 15

You do not need to listen to my opinion but I think another excellent title could be Survival (Man Vs Dog).

And so here is an explanation of this title: The book may be for young adults, but it truly shows a dark trip to human nature and a species that can be noble as well as cruel and insensitive. Buck, the protagonist, is a dog who has been kidnapped and placed as a sled dog in the 19 century Klondike Gold Rush. It is Buck's loyalty and instinct that helps him return to his owners which forms the plot of the story and the assumptions are able to make about the inhumanity of humans and the very real loyalty and humanity Buck shows.

Sorry for taking so long:)

4pack price plus 9pack price

so it implies that 2.o4+4.68=6.72

Answer:

I think the answers are the last two.

Step-by-step explanation:

A rational number is any faction with a denominator not being 0. For example, 1/2, 1/5, 3/6, etc. Also, the number 0 is also a rational number.

If you think any other ones are also the answer, just use my explanation to help it clear stuff up. :)

The final expression of the simplified version is 28x + 8y + 2.

We know that, to simplify means to obtain the lowest possible form of the of the expression. The expression is written in its simplest form  when there are no more ambiguities left in the way that it is written.

Given the expression;

-2(3x + 12y - 5 - 17x - 16y + 4)

We can now expand the expression to have;

-6x - 24y + 10 + 34x + 32y - 8

This could further simplify to

-6x + 34x  - 24y + 32y + 10 - 8

To obtain the  final simplified expression, we have;

28x + 8y + 2

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The cost c of these t-shirts in her currency of Krona is; C: 608.313 Krona

We are told that;

A foreign exchange student wants to buy gifts for her family.

She gets a deal at;

7 shirts = $97.93

Now, she wants to buy 5 shirts for her family at that given deal. Thus;

Cost of 5 shirts in dollars = (97.93 * 5)/7 = $69.95

Now, the exchange rate of dollar to krona is given as;

1 U.S. Dollar = 8.6964 Krona

Thus; $69.95 = (69.95 * 8.6964)/1 = 608.313 Krona

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Since the situation can be since as an  arithmetic sequence, her salary after 3 years is $73,000. After t years, her salary is a function of t, that is a(t) = 64000 + 3000 t

The given situation can be seen as an arithmetic sequence. The nth term of an arithmetic sequence is given by the formula:

a(n) = a(1) + (n - 1) . d

Where:

a(1) = the first term

d = the common difference.

The problem can be translated into an  arithmetic sequence with:

a(1) = $67000

d = $3000

Kylie's salary after 3 years is a(3),

a(3) = a(1) + (3 - 1) . d

a(3) = Kylie's salary  + 2 . 3000 = 73000

Hence, after 3 years, Kylie's salary is $73,000

Her salary after t years, means n = t. Therefore,

a(t) = a(1) + (t - 1) . d

a(t) = 67000 + (t -1) . 3000

a(t) = 64000 + 3000 t

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The domain of this function is that: C. the domain is all real numbers 0 through 30.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values (numbers) to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

The horizontal extent of a graph represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By critically observing this graph of a function shown, we can reasonably infer and logically deduce the following:

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The table of values for the given equation, y = 1/x, is

x            y

-3         -1/3

-2         -1/2

-1           -1

0           ∞

1            1

2          1/2

3          1/3

From the question, we are to determine the table of values for the given function

The given equation is y = 1/x

We will determine the values of y for certain values of x

When x = -3

y = 1/x

y = 1/-3

y = -1/3

When x = -2

y = 1/x

y = 1/-2

y = -1/2

When x = -1

y = 1/x

y = 1/-1

y = -1

When x = 0

y = 1/x

y = 1/0

y = ∞

When x = 1

y = 1/x

y = 1/1

y = 1

When x = 2

y = 1/x

y = 1/2

When x = 3

y = 1/x

y = 1/3

Thus,

The table of values is

x            y

-3         -1/3

-2         -1/2

-1           -1

0           ∞

1            1

2          1/2

3          1/3

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Answer:

18

Step-by-step explanation:167-5=162

95-5=90

18is hcf of 162 and 90 then answer is 18

Answer:

Yes

Step-by-step explanation:

This is a linear function, which you can see if you graph it.  It is in the form of y = mx + b where be = 0 and the slope is 8.5.

The correct transformation for  f(x) = 3x+1 to g(x) = −3x−5 is a reflection over the y-axis, and a translation 4 units down. Option D

This is further explained below.

A point, line, or geometric figure may be transformed in one of four ways, each of which affects the shape and/or location of the object.

Pre-Image refers to the object's initial shape, while Image, after transformation, refers to the object's ultimate shape and location.

Generally, the equation for the function is mathematically given as

f(x) = 3x+1

The transformed function

g(x) = −3x−5

In conclusion, The transformations consist of Reflection along the y-axis.

The translation of down four units

Hence, a reflection over the y-axis, and a translation 4 units down. Option D

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Step-by-step explanation:

Momentum = Mass (kg) × ∆Velocity (m/s)

Momentum = 0.142kg × (45.1 -- 0)m/s

Momentum = 0.142 × 45.1

Momentum = +6.4042kgm/s

The magnitude is positive because only the pitcher can give the baseball its final velocity which appeared to be 45.1m/s

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The equation of a line that is parallel to line y=3x+5 and goes through the point (6,-7) is y = 3x + 2

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line. Any line's equation can be used to determine whether a given point is on the line or not.A linear equation with a degree of one is the equation for a line.

Given that : the equation of a line is parallel to line y=3x+5 and goes through the point (6,-7)

y=3x+5 is the equation for the given line.

This type of line is called a slope intercept. The line has a slope of m=3.

The slope of parallel lines is equal. As a result, all lines with slope m=3 will be perpendicular to one another.

y=3x+2 is an example of a line that is parallel to the supplied line.

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The slope of AB = 2

The slope of CD = 2

Both lines are parallel lines.

The lines that are perpendicular to each other have slope values that are negative reciprocal of each other.

For example, if the a line's slope is a, the line that is perpendicular to it will have a slope of -1/a. This is because the negative reciprocal of a is -1/a, and (a)(-1/a) = -1.

On the other hand, the lines that are parallel to each other will have the same slope value.

Given the following:

A(−6 , −9)

B(8, 19)

C(0, −4)

D(2, 0)

Find the slope (m) of AB:

Slope of AB = (19 -(-9))/(8 -(-6))

Slope of AB = 28/14

Slope of AB = 2

Find the slope (m) of CD:

Slope of CD = (0 -(-4))/(2 - 0)

Slope of CD = 4/2

Slope of CD = 2

The graph of both lines are shown below.

Thus, the slope of AB and CD are the same, therefore, we can conclude that lines AB and CD are parallel to each other.

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Answer:416

Step-by-step explanation:520x.8=416

Answer:

Original price = 416.

i hope this helps

Answer:

-3 < x ≤ 6

(-3, 6]

Step-by-step explanation:

15 ≥ 3x - 3 > -12

 +3       +3     +3

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

18 ≥ 3x > -9

÷3    ÷3   ÷3

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

6 ≥ x > -3

-3 < x ≤ 6

(-3, 6]

I hope this helps!

Let's use the variable x to represent the price of the television set before taxes.

If the tax rate is 4%, then the original price is multiplied by 1.04, so it is equal 1.04x.

The final price is $520, so we have:

So the price before taxes is $500.00.

explanation

4/16×5600=1400

5/16×5600=1750

7/16×5600=2450

therefore first ratio over total ratio multiplied by number. use the same approach for the others

Answer:

arc RPQ = 305°

Step-by-step explanation:

• the angle at the centre is equal to the measure of the arc that subtends it.

arc RP = ∠ ROP = 125°

∠ QOS and ∠ ROP are vertically opposite angles and are congruent, so

∠ QOS = 125° and so arc SQ = 125°

RS is a straight angle , then

∠ POS = 180° - 125° = 55°

arc PS = 55° ( arc subtending the angle at centre

Then

arc RPQ = RP + PS + SQ = 125° + 55° + 125° = 305°

Answer:

0

Step-by-step explanation:

because the rule says have u understand

All of the following expressions represent the sum of n and itself, except n²

To solve his problem, we need a brief idea about algebraic operations like summation, multiplication, etc.

When we add two or more same algebraic digits we have to just add their coefficients. Otherwise, it remains the same.

Example :

Here 2n = n + n, the sum of n and itself but n² = n × n, which is the multiplication of n and itself,

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