25 pts! Dont copy someone elses work plz

Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work

Answer:

Column A                                            Column B

1. x² + 6x + 8                                        x-3,x+2

2. x³ - 7x + 6                                       x+1, x+2, x+3

3. x³ - 2x² - 5x + 6                              x-1, x+2, x-3

Step-by-step explanation:

Column A                                            Column B

1. x² + 6x + 8                                        x-3,x+2

2. x³ - 7x + 6                                       x+1, x+2, x+3

3. x³ - 2x² - 5x + 6                              x-1, x+2, x-3

Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.

1. x² + 6x + 8      

= 1+6(1) +8= 15

1. x² + 6x + 8

  4+ 12+8 = 24

1. x² + 6x + 8

 (-1)² + 6(-1)+ 8

= 1-6+8= 3

1. x² + 6x + 8

 (-2)² + 6(-2)+ 8

= 4-12+8= 0

1. x² + 6x + 8

(3)²+ 6(3) +8

= 9+18+8 ≠ 0

1. x² + 6x + 8

(-3)²+ 6(-3) +8

= 9-18+8 =-1

For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3

2. x³ - 7x + 6

1-7+6= 0

2. x³ - 7x + 6

(-1)³-7(-1) +6

= 13-1≠0

2. x³ - 7x + 6

(2)³-7(2) +6

= 8-14+6= 0

2. x³ - 7x + 6

(-2)³-7(-2) +6

= -8 +14+6

2. x³ - 7x + 6

(-3)³-7(-3) +6

= -27+21+6 = 0

For this polynomial we have x+1= 0 , x+2 = 0  and x+3= 0, or x=-1,-2,-3

3. x³ - 2x² - 5x + 6

(1)³-2(1)²-5(1)+6

= 0

3. x³ - 2x² - 5x + 6

(-1)³-2(-1)²-5(-1)+6

= -1 -2 +5+6

=8

3. x³ - 2x² - 5x + 6

(2)³-2(2)²-5(2)+6

= 8-8-10+6

=-4

3. x³ - 2x² - 5x + 6

(-2)³-2(-2)²-5(-2)+6

= -8-8+10+6

=0

3. x³ - 2x² - 5x + 6

(3)³-2(3)²-5(3)+6

= 27-18-15+6

=0

3. x³ - 2x² - 5x + 6

(-3)³-2(-3)²-5(-3)+6

= -27-18+15+6

=-14

For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3

hi

5 for  49  means    : 49/5   =  9+4/5 = 9.80 each

8 for  59.50   means     59.50/8 ≈  7.44

second offer is the best deal

Answer:

5

Step-by-step explanation:

3x=15

x=15/3

x=5

Answer:

0.75

Step-by-step explanation:

it has to be 0.75 because to make a percentage you move decimal to the left twice and its a %. But i am sorry i do not know the second one, maybe someone else can help :)

Answer:

75.0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

total cost of equipments= $245

cost of each uniform=$21

Total purchase = $518

Step two:

The amount spent on uniform is total purchase minus the total cost of equipment

=518-245

=$273

Hence the total cost of the uniform is $273

if one will cost $21, then the number of uniforms they bought is

=273/21

=13 uniforms

Answer:

25 uniforms

Step-by-step explanation:

518/21= 24.6 round to 25

The answer is-

x^2−x−6

Answer:

x=15

Step-by-step explanation:

9²+12²=c²

81+144=c²

225=c²

√225=√c

15=c

The measure of the x is 15.

Given

The length of the base is 9 and the perpendicular is 12.

Pythagoras theorem states that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

The length of the hypotenuse is x.

Therefore,

[tex]\rm (Hypotenuse )^2= (Base)^2+ (Perpendicular)^2\\\\(x)^2=(9)^2+(12)^2\\\\144+81=x^2\\\\x^2 = 144+81\\\\x^2=225\\\\x=15[/tex]

Hence, the measure of the x is 15.

To know more about Pythagoras theorem click the link given below.

https://brainly.com/question/343682

Answer:

y=35x

Step-by-step explanation:

...................

I need points but Y=34x

Answer:

150

Step-by-step explanation:

Answer:

y = 150x + 400

Explanation:

Slope intercept form is :    y = mx + b

B is the y intercept, you can also think of it like a starting value, in this case Susan starts with $400 dollars

M is the slope, you can also think of it like a value that is consistently changing over time, in this case Susan saves(or earns) $150 each month.

If you want to figure how much money she will have in a certain number of months, plug the number of months (x), into the x in     y = 150x + 400.

Answer:

25

Step-by-step explanation:

First step is to imagine a line that comes straight down from angle b.

This forms a 90 angle AND perfectly bisects angle b.

A triangle has 180 degrees and the angles we currently know are 25 and 90. add those two together and you get 115.

Subtract that from 180 and you get 65 for one part of angle b.

Since the line perfectly bisects angle b, the other side is also 65.

Now, we have the entire triangle DAB.

Angle B is 65x2=130

Angle A is 25

180 degrees in a triangle

130+25=155 degree that we know.

180-155=25 degrees

Answer:

5x=1

Step-by-step explanation:

51

The answer would be aas

Answer:

The answer to this question would be AAS (Angle-Angle-Side)

Step-by-step explanation:

The triangles both have the same side and another same angle as shown in the image, but to make this AAS, there must be another angle, which is the center point of both triangles... these are the same because they are vertical angles.

Answer:

3.225 cups

Step-by-step explanation:

1.50 cups + 0.675 cups + 1.05 cups = 3.225 cups

1.50 cups

1.05 cups

0.675 cups

3.225 cups

Answer:

a) Yes

b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.

Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:

c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.

d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.

e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.

f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.

e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.

f2) x-intercept of original function: -6

g) y-intercept of the inverse function: -6

h) x-intercept of the inverse function: 4

i) y-intercept of the original function: 4

j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.

Answer:

y= -3 I think but the next person will answer this for you

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Hint :

Slope of horizontal lines is

zero (( 0 )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

[tex]slope = 0[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

I think

Step-by-step explanation:

it is answers is m is 117

Answer:

B

Step-by-step explanation:

point slope uses the form y - y1 = m(x - x1)

m stand for slope. in this case it is -3

x1 is -1 and y1 is 6

when you plug it in, you get

y - 6 = -3(x - [-1])

which simplifies to your final answer: y - 6 = -3(x + 1)

Answer:

Well i got 4.32 but im not completely sure

Step-by-step explanation:

Answer:

$93.8

Step-by-step explanation:

(*markup is an increase in price)

67 + ( 40% × 67 )

= 67 + ( 40/100 × 67/1 )

= 67 + 26.8

= 93.8

......................................................................................

Answer:

the answer is D because i asked SIRI and BIXBI and they both said the same answers

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

When answering these problems, I like to think of dirt stacks. (Weird, but it helps.)

Okay, so you have a stack of dirt one foot off the ground. Then you dig six feet down, including the stack.  Because the stack will be 5 feet into the ground now, the answer is -5.

Answer:

you need to show the examples

Step-by-step explanation:

Answer:

Slower

Step-by-step explanation:

If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes

Answer:

−62,654,192 is your answer

Answer:

-62,654,192

Step-by-step explanation:

Use a calculator!

Answer:

N=24

Step-by-step explanation:

N/4=6 (times 4 to the other side)

N=24

Answer:

n = 24

Step-by-step explanation:

1) Isolate n!

n/4 = 6

×4 ×4

n = 24

Answer:

[tex] E_{T} = 36.84 J [/tex]        

Step-by-step explanation:

La energía mecánica total está dada por:

[tex] E_{T} = E_{c} + E_{p} [/tex]

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh [/tex]

En donde:

m: es la masa = 150 g

v: es la velocidad = 0.8 m/s

h: es la altura = 25 m

g: es la gravedad = 9.81 m/s²

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh = \frac{1}{2}0.15 kg*(0.8 m/s)^{2} + 0.15 kg*9.81 m/s^{2}*25 m = 36.84 J [/tex]

Por lo tanto, la energía mecánica total es 36.84 J.

Espero que te sea de utilidad!      

The people living in the north America are involved in different economic activities like animal husbandry, industries, services, farming, fishing etcc …

Answer:

0.56

Step-by-step explanation:

Answer:

14/25

Step-by-step explanation:

Because you cant divide both of them by the same number.

Answer:

A.false

B.true

C.false

D.true