Rewrite in simplest term 2(-8r-6)-6(-3r+6)

Answer:

x² + 2x - 3

Step-by-step explanation:

Step 1: Write expression

(4x² - 3x + 1) - (3x² - 5x + 4)

Step 2: Distribute negative

4x² - 3x + 1 - 3x² + 5x - 4

Step 3: Combine like terms (x²)

x² - 3x + 1 + 5x - 4

Step 4: Combine like terms (x)

x² + 2x + 1 - 4

Step 5: Combine like terms (constants)

x² + 2x - 3

Answer:

it would be option C)  (x – 10)(x + 2)(x + 6)

Step-by-step explanation:

You have to divide x^3 -2x^2 -68x -120 by x + 2 to get x^2 - 4x -60 and then factor

The factors of the function are  (x + 2)(x - 10)(x + 6).

Any expression which is formed by using constants, variables, and exponents is polynomial, it is solved with the help of mathematical operators. Polynomial is made by the parts "poly" and "nominal"  here "poly" means many and "nomial" means terms.

Given f(-2) = 0

f(x) = x³ - 2x² - 68x - 120  .........(1)

one factor of function is x + 2

divide the function by x + 2

multiply x² by x +2

x²(x + 2) = x³ + 2x²

subtract the term from equation 1 we get,

x³ - 2x² - 68x - 120 - x³ - 2x²

= -4x² - 68x -120 ......(2)

now multiply -4x by x + 2

-4x(x + 2) = -4x² - 8x

subtract the term from equation 2 we get

-4x² - 68x -120 - (-4x² - 8x)

-60x - 120 ........(3)

again multiply -60 by (x + 2)

-60(x + 2) = -60x - 120

subtract from equation 3

-60x - 120 - (-60x - 120) = 0

The quotient we get from the division is,

x² - 4x - 60

here are the factors of x² - 4x - 60 = (x - 10)(x + 6)

Hence, the factors of polynomials are (x + 2)(x - 10)(x + 6).

Learn more about polynomials;

https://brainly.com/question/11536910

#SPJ2

slope intercept:

y=3/4x-7

point slope form:

I used the y intercept (0,-7) as a point to plug into point slope form.

y+7=3/4(x-0)

The linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

The slope is given as:

m = 3/4

The y-intercept is given as:

c = -7

A linear equation in slope intercept form is represented as:

y = mx + c

So, we have:

y = 3/4x -  7

The equation in point slope form is calculated as follows:

y = 3/4x -  7

Add 7 to both sides

y + 7 = 3/4x

Express 3/4x as 3/4(x)

y + 7 = 3/4(x)

Subtract 0 from x

y + 7 = 3/4(x - 0)

Hence, the linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

Read more about linear equation at:

https://brainly.com/question/1884491

#SPJ9

Answer: 18

Step-by-step explanation:

when there is a in front of an expression in parentheses change the sign of each term in the expression. 9+9=18 so ANSWER 18

Your teacher didn't put any xy axis on this grid. But I'm assuming that the vectors are coming from the origin (0,0)

If that is the case, then vector v = (-2,4) and vector u = (2,1)

Add the corresponding coordinates to get

v+u = (-2,4)+(2,1) = (-2+2,1+4) = (0,5)

The general rule for adding vectors is

if u = (a,b) and v = (c,d), then u+v = (a+c, b+d)

Answer:

a

 Mutually exclusive

b

Not Mutually exclusive

c

Not Mutually exclusive

d

Not Mutually exclusive

Step-by-step explanation:

From the question we are told that

The number of bolt is n = 12

The event that all the bolt are torqued correctly is A

The event that the 3rd bolt is not torqued correctly is B

The event that exactly one bolt is not torqued correctly is C

The event that the [tex]4^{th}[/tex] and [tex]8^{th}[/tex] are torqued correctly is D

Generally for an event to be mutually  exclusive it means that both event can not occur at the same time

    Considering a  

      The  A and  B are mutually exclusive because they can not occur at the same time

    Considering b  

 The  event B and D are not mutually exclusive because they can occur at the same time

    Considering c

 Event  C and  D are not mutually exclusive because they can occur at the same time

    Considering d

   Event       B and  C are not mutually exclusive because they can occur at the same time

Answer:

1. 3>-3

2. 12<24

3. -12>-24

4. 5=-(-5)

5. 7.2>7

6. -7.2<-7

7. -1.5=-3/2

8. -4/5>-5/4

9. -3/5=-6/10

10. -2/3<1/3

Step-by-step explanation:

Answer:

x = 80,

y = 80

Step-by-step explanation:

This is difficult to explain, so here are the theorems used

two lines parallel, with a transversal; alternate interior angles,

verticle angles theorem,

parts - whole postulate,

verticle angles theorem,

parts- whole postulate,

sum angles in a triangle,

supplementary angle, definition straight angle,

parts- whole postulate,

there are many other ways to reach the answer, I just whent this way.

Answer:

x= 80°, y= 100°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

You would use > and <, if the first number is greater than the other, you would use >, and vice versa. For the others, you would write the numbers in the order stated, for example, 0, 5, and -7 would be written as -7, 0, 5, -7 being the smallest number, and 5 being the biggest number. Hope this helps.

Answer:

1: <

2: >

3: <

4: <

5: >

6: >

7: _-7_0_5_

8:  _-10_3_10_

10: _-1/2_-8_0_1/2

There are the answers, the only one im not sure about is 10

Answer: −1 /3 m+ 10 /9

Step-by-step explanation:

9514 1404 393

Answer:

  1/8 lb or 2 oz

Step-by-step explanation:

You find the weight per egg by dividing the weight by the number of eggs:

  (3/4 lb)/(6 eggs) = 3/24 lb/egg = 1/8 lb/egg

A pound is 16 ounces, so 1/8 lb is 2 oz.

Each egg weighs 1/8 lb or 2 oz.

Answer:

(a) Mean

(b) Mean

Step-by-step explanation:

(a) Mean is influenced by two things, occurrence and difference in values. Mode is influenced by one thing only, occurrence. Median is positional in rank order so only indirectly influenced by value.

(b) The mean is the most accurate way of deriving the central tendencies of a group of values, not only because it gives a more precise value as an answer, but also because it takes into account every value in the list.

Answer:

Step-by-step explanation:

What you need to do is look at the chart and see how much it is for one of those, multiply it by the number of how many you need, add up how much money it will cost him, and how much money he needs.

Answer:

Explained below.

Step-by-step explanation:

A Binomial experiment has the following properties:

If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.

The number of employees selected is, n = 20.

Every employees response is independent of the others.

Each employees response is either: Yes or No.

The probability of an employee responding as "yes" is, p = 0.31.

Thus, the experiment being performed is a binomial experiment.

So, the probability distribution for the number of employees believing their company president has low ethical standards can be modelled by a binomial probability distribution.

But the number of years of experience cannot be modelled by a binomial probability distribution. Because every employee will have different answer for this question.

The slope intercept form of the given equation y + 9 = 3(x - 1)  is

y =3x-12 .

The slope intercept is a form of two variable linear equation in x, y is given by

y = m x + c

y is y coordinate, x is x coordinate , m is called slope , c is y intercept

For the given equation

y + 9 = 3(x - 1)

⇒ y + 9 = 3x -3

Subtracting 9 from both sides of this equation, we get

⇒ y+9-9 = 3x-3-9

⇒ y = 3x - 12

This is the slope intercept form with m = 3 and c = -12

Therefore , the slope intercept form of the equation y + 9 = 3(x - 1)  is

y =3x-12

Also, Learn more about the slope intercept form from the link below:

https://brainly.com/question/9682526

#SPJ2

Answer:

1 4/5

Step-by-step explanation:

1 1/4+2/5=1 13/20

1 13/20+3/20= 1 6/20

simplified down to 1 4/5

Answer:

59

Step-by-step explanation:

c=coffee, j=juice

c + j >=127

j = c +9

c + c + 9 >=127

2c >=127-9

2c>=118

c>= 59

check by 59+59+9=127

Answer:

a)-27/20

Step-by-step explanation:

3/5 ÷ (-4/9)

3/5 × (-9/4)

-27/20

Hope it will help

Answer:

She made $105.75 working as a waitress

She made $367.50 working as a maths tutor

Step-by-step explanation:

Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress.

Hence, the number of hours worked as a maths tutor =

30 - 9

= 21 hours

When she works as a waitress she receives $11.75 per hour

Hence, $11.75 × 9 hours

= $105.75

Hence, she made $105.75 working as a waitress

When she works as a math tutor she received $ 17.50 per hour.

$17.50 × 21 hours

$367.50

Hence, she made $367.50 working as a waitress

Answer:

C

Step-by-step explanation:

73.89 x .05 = 3.6945

but to round it will become 3.69

Answer:

C. $3.69

Step-by-step explanation:

I hope this helps!

Answer:

6n + 7 = 7n

Step-by-step explanation:

Number of students involved in sports = 5n + 7

Number of students involved in student council = n

Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7

Number of students involved in band = 3n - 2

Number of students involved in drama club = 2(2n + 1)

Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n

Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:

6n + 7 = 7n

Answer:

-32

Step-by-step explanation:

Simply input the x and y values.

New equation:

| 147-(-9) | /(-4) +7

Step one:

147-(-9)   = 156

Step two:

|156|/-4    =-39

Step three:

-39+7      =-32

If you evaluate the expression it comes out to -32

Answer:

Step-by-step explanation:

Answer:

it that going to come on cxc