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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

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Answer:

- domains: { 1,2,-1,-3 }

- it is a function

Step-by-step explanation:

it is a function Since there is one value of y for every value of x in the relation.

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:6 x 4 = 24

Step-by-step explanation:

im not sure what was so hard

Answer:

4x6=24 its just you multiply the two smallest numbers

Answer:

otation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin.(i) A (3, 5)            

(ii) B (-2, 7)          

(iii) C (-5, -8)      

(iv) D (9, -4)

Solution:

When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.

(i) The new position of the point A (3, 5) will be A' (-3, -5) ii) The new position of the point B (-2, 7) will be B' (2, -7) (iii) The new position of the point C (-5, -8) will be C' (5, 8)

(iv) The new position of the point D (9, -4) will be D' (-9, 4)

2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.

Solution:

180 Degree Rotation

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When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).

3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.

Solution:

180 Degree Rotation about the Origin

0Save

On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.

Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:

P (-3, 1) → P' (3, -1)

Q (2, 3) → Q' (-2, -3)

Thus, the new position of line segment PQ is P'Q'.

Step-by-step explanation:

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;

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Answer:

Bru-

Is this a question?

Step-by-step explanation:

Step-by-step explanation:

second one because

only x+2y=8 passes through the point (2,3)

the proof is 2+2*3=2+6=8

if we replace the given point to the other equations we will take wrong results for example

first equation

x+2y=4. 2+2*3=2+6=8 that is not equal to 4

Slopes of lines which are parallel to each other is same. The equation of the line which is parallel to y = mx + c and passes through (2,3) point is y = m(x-2) + 3

Parallel lines have same slope, since slope is like measure of steepness and since parallel lines are of same steepness, thus, are of same slope.

In the line of the form [tex]y = mx + c[/tex], the coefficient of x, which is 'm' here, is the slope of the line [tex]y = mx + c[/tex]

Suppose that the given line be:

[tex]y = mx + c[/tex]

(we assume this, because the question is a bit incomplete as the initial line isn't given)

And we've to find the equation of a line which is parallel to the line given above, and passes through (2,3).

Suppose it be:

[tex]y = mx + b[/tex] (as the slope of parallel lines would be same).

This line passes through (2,3), so the equation must be true for (x,y) = (2,3).

Putting it, we get:

[tex]y = mx + b\\3 = m(2) + b\\3 - 2m = b[/tex]

Thus, the equation of this line is:

[tex]y = mx + b \\y = mx + (3-2m)\\y = m(x-2) + 3[/tex]

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Answer:

-1x + y  

Where x = number of plain chips and y = number of striped chips.

Step-by-step explanation:

NOTE: if an image was giving with this question please attach the image to get a more simplified answer.

Answer:

4 terms

Step-by-step explanation:

N, number, p , and q. Good luck!

Answer:

4

Step-by-step explanation:

a term is either a single number or variable, or numbers and variables mutiplied together.

Answer:

Your data decreased, because the end of the arrow points down, to show negative.

Hope this helps!

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:

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:

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:

-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:

It is c which is g(x)

Step-by-step explanation:

Answer:

the answer is C : g(x)

Step-by-step explanation:

i just got the right answer on the assignment

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.

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)

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 best friend listens to you. ... It doesn't matter how many times you've said the same asinine thing – a true best friend never tires of hearing your ridiculous stories. Your best friend is one who listens to your work gossip, even if he or she doesn't understand it.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

it that going to come on cxc

Answer:

[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]

Step-by-step explanation:

The standard equation of a circle centered at (a,b) with radius r would be (x - a)^2 + (y - a)^2 = r^2

This example represents a circle with center (2, - 1) having a radius of 3

The parametric equation of a circle centered at (0,0) would be;

x = r cos t,

y = r sin t

And so when centered at (a, b) we would have;

x = a + r cos t,

y = b + r sin t

In this case x = 2 + 3 cos t, and y = - 1 + 3 cos t

Now if the particle starts at (-1, - 1), correspondent to a start parameter of t = π, we need two revolutions so it should be that t = π + 2 * 2π = 5π.

[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]

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