Factor the expression:
9x(x^2 - 1) - 3(x^2 - 1)

Answer:

For part one...

you will multiply 4.5 by 3 to get 13.5 .

For part two,

you will multiply 3m by 4 to get 12.

(: I hope this helps! BRAINLIEST is appreciated to get to virtuoso :)

Answer:

Variable terms: 4a and 6a

Constant terms: 4 and 11

Step-by-step explanation:

A constant term is one that is NOT multiplied by any variables.

At this level of math, think of constants as terms that are only numbers.

(for example: 1, 68.9, -42, etc.)

Note that a term in « a + bi » form can also be a constant.

A variable term is a one that IS multiplied by a variable.

(for example x, -3y, 8z, etc.)

In question 1, the variable terms are:

4a and 6a because they are multiplied by the variable a

The constant terms are:

4 and 11 because they are simply integers

Note that the constant terms could also be written as -4 and -11 depending on how the operations are viewed (subtracting vs adding a negative)

The value of x is -20 and y value is 10/3

Two or more expressions with an Equal sign is called as Equation.

The given two equations are

x/6-y/5=-4...(1)

x/4-y/6= -2...(2)

Multiply 1 with 1/2

x/12-y/10=-2...(3)

Multiply 2 with 1/3

x/12-y/18=-2/3...(4)

Now subtract 4 from 3

x/12-y/10-x/12+y/18=-2+2/3

-y/10+y/18=-4/3

y(1/18-1/10)=-4/3

y(5-9/90)=-4/3

y(-4/10)=-4/3

-y/10=-1/3

y=10/3

So value of y is 10/3

Now substitute y in 1

x/6-10/15=-4

x/6=-4+10/15

x/6=(-60+10)/15

x/6=-50/15

x=-300/15

x=-20

Hence the value of x is -20 and y value is 10/3

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Answer:

Ignoring leap years, May has 31 days, a year has 365 days. 334 days of the year are NOT in May so the probability of a birthday not being in May = 334/365 = approximately 91.5%

Step-by-step explanation:

The probability of event A which represents that the man's birthday is not on New Year's Day is 0.99.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur. Mathematically -

P(A) = n(A)/n(S)

Given is a person who is randomly selected.

Assume that Event A represents that the man's birthday is not on New Year's Day.

Total number of days in a year = n(S) = 365

Total number of days not on New Year's Day = n(A) = 364

Therefore, the probability that the man's birthday is in May will be -

P(A) = n(A)/n(S)

P(A) = 364/365

P(A) = 0.99

Therefore, the probability of event A which represents that the man's birthday is not on New Year's Day is 0.99.

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The person who gets to say the last number, 1000, will be Person 6.

Here, we have,

In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.

When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.

Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.

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complete question:

10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number

Its g is increasing

I guess you could just plug in 0, 1 and -1 and graph it.

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

(5,20)

Step-by-step explanation:

2x + 2(4x) = 50

2x + 8x = 50

10x = 50

10x/10 = 50/10x

x = 5

2(5) + 2y = 50

10+ 2y = 50

-10. -10

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

2y = 40

2y/2 = 40/2

y = 20

Therefore, Frank has 54 baseball cards and 9 hockey cards.

In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equals sign (=). The expressions on either side of the equals sign can contain numbers, variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Here,

Let's use algebra to solve the problem.

Let B be the number of baseball cards that Frank has, and let H be the number of hockey cards that he has. Then we have two equations:

B + H = 63 (the total number of cards is 63)

3B - 4H = 126 (three times the number of baseball cards minus four times the number of hockey cards is 126)

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for H:

H = 63 - B

Substitute this expression for H in the second equation:

3B - 4(63 - B) = 126

Simplify and solve for B:

3B - 252 + 4B = 126

7B = 378

B = 54

Now we can use either of the two equations to solve for H. Let's use the first one:

B + H = 63

54 + H = 63

H = 9

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the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time.

What is the line segment of the graph?

In geometry, a line segment is part of a straight line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.

The graph that describes the relationship between the runner's total distance & time is:

graph with the x-axis labeled time in hours and the y-axis labeled total distance in miles, with a line segment from 0,0 to 0.25,1.25, a horizontal line segment from 0.25,1.25 to 0.5,1.25, a line segment from 0.5,1.25 to 0.8,2.4, and a horizontal line segment from 0.8,2.4 to 1,2.4.

The runner ran for a total of 35 minutes, which is 0.5833 hours (15 minutes + 20 minutes). During this time, the runner covered a distance of 2.4 miles (45 mph * 0.25 hours + 60 mph * 0.3333 hours).

After adding the time spent stretching and resting, which is 0.5 hours, the total time is 1 hour, and the total distance covered is still 2.4 miles since the runner did not move during the stretching and resting time.

Therefore, the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time.

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Answer:

i might be wrong but hope this helps

Step-by-step explanation:

the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time.

What is the line segment of the graph?

In geometry, a line segment is part of a straight line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.

The graph that describes the relationship between the runner's total distance & time is:

graph with the x-axis labeled time in hours and the y-axis labeled total distance in miles, with a line segment from 0,0 to 0.25,1.25, a horizontal line segment from 0.25,1.25 to 0.5,1.25, a line segment from 0.5,1.25 to 0.8,2.4, and a horizontal line segment from 0.8,2.4 to 1,2.4.

The runner ran for a total of 35 minutes, which is 0.5833 hours (15 minutes + 20 minutes). During this time, the runner covered a distance of 2.4 miles (45 mph * 0.25 hours + 60 mph * 0.3333 hours).

After adding the time spent stretching and resting, which is 0.5 hours, the total time is 1 hour, and the total distance covered is still 2.4 miles since the runner did not move during the stretching and resting time.

Therefore, the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time.

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There are 12 chaperones in total.

In molecular biology, molecular chaperones are proteins that help big proteins or macromolecular protein complexes fold or unfold conformationally. There are different groups of molecular chaperones, all of which have the same purpose: to help big proteins fold properly during or after synthesis as well as following partial denaturation. Protein translocation for proteolysis involves chaperones as well.

The first molecular chaperones to be identified are an assembly-type of chaperones that help nucleosomes form from folded histones and DNA.

Since heat stress increases the propensity for protein aggregation, one of the main roles of molecular chaperones is to prevent the accumulation of misfolded proteins. As a result, many chaperone proteins are categorized as heat shock proteins.

Chaperones and students combined: 3 + 20 = 23

by the number of individuals in total:

92 / 23 = 4

Divide that sum by the proportional number of chaperones:

4 x 3 = 12

There are 12 chaperones in total.

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The equation of the line in slope-point form,  slope-intercept form, and  standard form are y = -100x + 1250, y - 1250 = -100(x-0) and 100x + y = 1250 respectively

The equation of a line in point-slope form is given as y − y 1 = m ( x − x 1),

where ( x 1, y1 ) is the point given and m is the slope

m = y2-y1 / x2-x1,   where x1 = 0, y1 = 1,250 and x2 = 5, y2 = 750

m = 750-1250 / 5-0

m = -500/5 = -100

Thus, the slope-point form:

y − y 1 = m ( x − x 1 )

y - 1250 = -100(x-0)

The equation of a line in slope-intercept form is given as y = mx+c,

where (x, y) is the point given, m is the slope and c is the y-intercept

where x1 = 0, y1 = 1,250 and m = -100

y = mx + c

1250 = -100(0) + c

c = 1250

Thus, the equation in slope-intercept form is:

y = -100x + 1250

The equation of a line in standard form is given as  ax + by = c, where a, b, c are real numbers

Rewrite y = -100x + 1250.  Thus, the equation in standard form is:

100x + y = 1250

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Answer:

-30n+42

Step-by-step explanation:

You have to use distributive property.

Multiply 6 with -5n which is -30n. Then, Multiply 6 with 7 which is 42. Since, 5n is negative the product is also negative, and since 7 is positive the product is positive. Therefore you will get, -30n+42.

I hope this helps!

Could I get brainliest? ✨

The simplified form of 6(-5n + 7) is -30n + 42.

To simplify the expression 6(-5n + 7), we apply the distributive property. The distributive property states that when we multiply a number outside the parentheses by an expression inside the parentheses, we must multiply it by each term inside the parentheses.

In this case, we have 6 multiplied by the expression (-5n + 7).

Multiplying 6 by -5n gives us -30n, and multiplying 6 by 7 gives us 42.

So, combining these results, we get -30n + 42.

This simplified expression, -30n + 42, cannot be further simplified because there are no like terms to combine.

Therefore, 6(-5n + 7) simplifies to -30n + 42.

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P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer:

Two Eighths

Step-by-step explanation:

One eighth is one part of eight equal sections. Two eighths is one quarter

Answer:

1-nonlinear it is not consistant

2- a increasing, b constant, c decreasing

3- 'a' walking away from hole, 'b' rests, 'c' goes back to hole (b could also be gather, as in food)

4- 8cm per second

work 16cm/2sec=8cm/1sec

Step-by-step explanation:

According to the histogram, the percentage of participants aged 40 to 59, who attended the restaurant's food festival, is 35%.

A histogram approximately represents a distribution of grouped data with numerical values.

A histogram uses rectangular bars to show the frequency of data items in successive numerical intervals of equal sizes.

Age Group (year)  Number of People

0 to 19                            20

20 to 39                         40

40 to 59                         60

60 to 79                         50

Total                             170

Percentage of ages 40 to 59  =  60/170 x 100 = 35.29%

Thus, using the histogram, we can assure the restaurant manager that 35% of the festival participants are between 40 and 59 years old.

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Answer:

I dont know how to read hindi can u pls translate it into English

Answer:

x^(d+18)

Step-by-step explanation:

using the law of indices

you must add the powers

Answer:

\( {x}^{d + 18} \)

Step-by-step explanation:

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

To determine the equation of a line, you may use two variations of the general form of a line.

These formulas are:

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

The standard form of a linear equation, also known as the “general form“, is:

ax+by=c

The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.

A few notes on Standard Form:

Let us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x

3y-5x=30

3y-5(0)=30

3y=30

y=10

Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.

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Answer:

y = 0.1x+200

Step-by-step explanation:

First, let's establish that:

x is independent

y is dependent

Basically, the value of y will depend on what x is.

The problem states that the slope of the line is Dave's comission, so since he makes 10% of comission, we can make the slope as 0.1x (mx)

The problem also states that the y intercept (b) is Dave's base salary, and earlier in the problem it states that his base salary is $200 a week. Therefore, b=200

now, the equation is:

y=0.1x+200

Hope this helps!

Answer:

The multiples of 5 are (b.10,25,45,60)

Answer:

B.

Step-by-step explanation:

Answer:

7:01

29%

Doyan of low

Shiman 1-R-1

Flous 1-1 Gambe 1-4-20

12 dual purpose

Martins 1-2-3 Flores 1-2, 1-3, 14

Gamba 2-1-5

Custand 1-4, 2-1

Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI

Flores 1-30

Munting 1-2-4

Gumbon 1-1-3 CDP 1-1-3

Status oppose ending 742 Montoya 1-1, 1-2, 1-3

federal courts challenge

Gamboa 1-R-2 Custom 1-7

CDP 1-L-36, 1-2-4

de Vogue 1-2-1, 2-1-5, 2-L-6

7 expulsions at boders

root causes textul Amer.

Cop 1-L-34, 1-1-2, 1-R-4

Border Report 1-2

CDP 1-R-2, 1-R-3 Montoya 1-8

Custarda 2-2

=

CLOSE

Hopes this helps :)

Basic Proportionality Theorem (BPT): If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. This is also known as Thales theorem.

Given:

\(\angle Q= 90^\circ , XY \ || \ QR, PQ = 6 \ \text{cm}, PY = 4 \ \text{cm} \ \text{and} \ PX : XQ = 1 : 2\)

Since, \(XY \ || \ QR\),

\(PX/XQ = PY/YR\)

[ By Thales theorem (BPT)]

\(\dfrac{1}{2} = PY/YR\)      \([PX : XQ = 1 : 2]\)

\(\dfrac{1}{2} = 4 /(PR - PY)\)

\([YR= PR - PY]\)

\(\dfrac{1}{2} = 4 /(PR - 4)\)

\(PR - 4 = 2 \times 4\)

\(PR - 4 = 8\)

\(PR = 8 +4\)

\(PR = 12 \ \text{cm}\)

In right \(\Delta PQR\),

\(PR^2 = PQ^2 + QR^2\)

[ By Pythagoras theorem]

\(12^2 = 6^2 + QR^2\)    \([\text{Given} : PQ= 6 \ \text{cm}]\)

\(144 = 36 + QR^2\)

\(144 - 36 + QR^2\)

\(108= QR^2\)

\(QR =\sqrt{108} =\sqrt{3\times36} = 6\sqrt{3} \ \text{cm}\)

Hence, the lengths of PR and QR is 12 cm and \(6\sqrt{3}\) cm.

Answer:

\(y=-(x-6)^2+6\)

Step-by-step explanation:

Vertex form of a parabola is expressed as: \(y=a(x-h)^2+k\)

It's also important to note that the axis of symmetry is a vertical line which passes through vertex, so in this form, that axis of symmetry can be defined as such: \(x=h\)

So if we're given the axis of symmetry we know the x-coordinate of the vertex.

Since we're given the axis of symmetry to be: \(x=6\) then that means the x-coordinate of the axis of symmetry is six. Another important thing to note about the vertex is it's y-value is either a minimum or maximum depending on whether it's opening up or down. So when we're given the maximum height to be 6, that's the y-coordinate of the vertex.

So now we know the coordinates to the vertex: \((6, 6)\). Using this we can plug in some values into the vertex form: \(y=a(x-6)^2+6\), but we still don't know the "a" value in front (besides that it's negative). Luckily we're given a point on the equation! We can plug in the coordinates given: \((7, 5)\) into the vertex form as (x, y) to solve for the "a" value, so let's do that.

Original Equation:

\(y=a(x-6)^2+6\)

Passes through the point (7, 5), so substitute it for (x, y)

\(5=a(7-6)^2+6\)

Simplify inside parenthesis:

\(5=a(1)^2+6\)

Square the one:

\(5=a+6\)

Subtract 6 from both sides:

\(-1=a\)

So now let's plug this back into our equation: \(y=-1(x-6)^2+6\), although we don't have to explicitly put the one, and just put the negative sign which does the same thing: \(y=-(x-6)^2+6\)

Answer:

3/10

Step-by-step explanation:

4+6+10

=20

6/20

=3/10