can someone please explain to me this image?

Given:

The polynomial is:

[tex]P(x)=ax+b[/tex]

To find:

Whether [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial or not.

Solution:

We have,

[tex]P(x)=ax+b[/tex]

Putting [tex]x=-\dfrac{b}{a}[/tex], we get

[tex]P(-\dfrac{b}{a})=a(-\dfrac{b}{a})+b[/tex]

[tex]P(-\dfrac{b}{a})=-b+b[/tex]

[tex]P(-\dfrac{b}{a})=0[/tex]

Since the value of the given polynomial is 0 at [tex]x=-\dfrac{b}{a}[/tex], therefore [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial.

Answer:

95

Step-by-step explanation:

[tex]x \degree = 95 \degree \\(vertical \: angles) \\ \\ x = 95[/tex]

Answer:

4.692 to 7.308

Step-by-step explanation:

Given :

n1 = 25 ; n2 = 20 ;

Mean x1 = $12 ; mean x2 = $6

Standard deviation, s1 = 3 ; s2 = 1

Confidence interval :

(x1 - x2) ± t*√(s1²/n1) + (s2²/n2)

x1 - x2 = (12 - 6) = 6

√(s1²/n1) + (s2²/n2) = √(3²/25) + (1²/20) = 0.640

Degree of freedom :

((s1²/n1) + (s2²/n2))² / (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1

Numerator = 0.1681

Denominator = 0.0054 + 0.0001315 = 0.0055315

Degree of freedom = 0.1681 / 0.0055315 = 30.38 = 30

Tcritical at 0.05, df = 30 = 2.042272

Hence ;

6 ± 2.042272(0.640)

6 ± 1.30705408

Lower boundary = 6 - 1.30705408 = 4.69294592

Upper boundary = 6 + 1.30705408 = 7.30705408

(4.693 ; 7.307)

Answer:

Hence, the probability of a successful site is :

[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]

Step-by-step explanation:

Given :

[tex]7[/tex] of the [tex]14,XYZ[/tex] sites have had [tex]95\%[/tex] or higher widget production success rate in the last month

To find :

The probability that a successful site will be selected.

We can select  either of [tex]8[/tex] sites out of [tex]9[/tex].

These [tex]8[/tex] sites can be selected in [tex]8[/tex] ways.

Total sites[tex]=9[/tex]

Therefore, the probability of a successful site is :

[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]

Answer:

2/3

Step-by-step explanation:

Answer:

5x - 2

Step-by-step explanation:

Answer:

A. Yes, it show repeated and periodic behavior.

Step-by-step explanation:

I calculated it logically

Answer:

(Sqrt)2/2

Step-by-step explanation:

Answer:

1/6075

Step-by-step explanation:

Answer:

a=62

Step-by-step explanation:

11a + 9c=2482 equation 1

a + c = 262 equation 2

a=262-c isolate value of a in equation

11(262-c) + 9c = 2482 substitute value of a (262-c) into equation 2

2882-11c + 9c= 2482 solve

-2c=-400

c=200

a+c=262

a+200=262

a=62

Check answer:

11a + 9c=2482

11(62)+9(200)=2482

682+1800=2482

2482=2482

Answer: just multiply the same sides that same number and that add the answers all together

Step-by-step explanation:

Answer:

y = 0.2(0.5)^x

Step-by-step explanation:

Exponential function are of the form

y = ab^x

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

To find "a" plug in x = 0 y = 0.2

0.2 = a(0.2)^0

0.2 = a

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

To find "b" plug in another point and a = 0.2

using x = 2, b = 0.05

0.05 = 0.2b^2

Divide both sides by 0.20

.25 = b^2

Take the square root of both sides

0.5 = b

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

With a = 0.2 and b = 0.5 the equation becomes

y = 0.2(0.5)^x

Answer:

.75

Step-by-step explanation:

Conditonal probability formula:

A|B= (A∩B)/B

let NH= Not heart

Let F= Face

NH|F= NH∩F/F

not hearth and face is 9

face is 12

9/12=.75

Answer:

(1 , –1)

Step-by-step explanation:

bro, you can see it if you draw on graph paper, or you just need to use your imagination more

Answer:

1,-1

Step-by-step explanation:

Answer:

Cna you please put a image, I would like that so much so I can help you?

Step-by-step explanation:

Answer:

MAYBE

Step-by-step explanation:

Answer: b is correct

Step-by-step explanation: i did this

The area of rectangle ABCD is 34 square unit.

In a cartesian plane there are two coordinates as P(a, b) and Q(c, d) then the distance between these points are

PQ = √(c- a)² + (d- b)²

We have Coordinates of rectangle

A(-1, 4), B(3, 3), C(1, -5) and D(-3, -4)

Using Distance Formula

AB = √ (3-4)² + (3+1)²

AB = √1 + 16

AB = √17 unit

Now, CB = √(-5-3)² + (1-3)²

CB= √ 64 + 4

CB = √68

CB = 2√17 unit

So, the area of Rectangle ABCD is

= l w

= √17 x 2√17

= 2 x 17

= 34 square unit

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Answer:

Runner A

Step-by-step explanation:

most consistent pace dots are close together and don't have any outliers like b and c do

Answer: it’s true i just did the quiz

Step-by-step explanation:

Chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

O is the center of the Circle

Chord BC is the line segment passing from the center of circle

Chord is a line segment whose end points lies on the circle.

Diameter is defined as a line segment passing from the center of the circle whose end point lies on the circle.

A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.

Hence, chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

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Answer:

Ellen is 8 Ft. and 5 In. away from Alice .

Step-by-step explanation:

By connecting the people like dots , you'd create a right triangle . The distance between Ellen and Alice would be the slant height .

To find the slant height , you could use the formula stated below .

Formula: A^2 + B^2 = C^2 .

A and B represent the distance between Porter between Ellen , as well as the distance between Porter and Alice . C represents the slant height , or how far Ellen is from Alice .

Substitute the variables with the given information and solve .

Substitution: 8^2 + 3^2 = 73 .

Simplify the final value by finding the square root of it .

√73 = 8.54400374532

As stated in the question , you should round the final value to the nearest tenth if necessary .

8.54400374532 ( Rounded ( Tenth ) = 8.5 Ft.

The rounded value would be 8.5 feet .

Answer:

Lauren saves $4,200 and Harold saves $1,050 after 6 months.

Step-by-step explanation:

700 × 6

175 × 6

Answer:

The numbers are 6 and 2

Step-by-step explanation:

Given this scenario, we can set up the following equations:

x + y = 8

x² + y² = 40.

___________

x + y = 8

y = 8 – x

(y)² = (8 – x)²

y² = (8 – x)²

x² + y² = 40

x² + (8 – x)² = 40

x² + 64 – 16x + x² = 40

2x² – 16x + 64 = 40

2x² – 16x = -24

2(x² – 8x) = -24

x² – 8x = -12

x² – 8x + 12 = 0

(x – 6)(x – 2) = 0

x = 6 or 2.

x + y = 8 →

(6 or 2) + y = 8

y = 8 – (6 or 2)

y = 2 or 6.

___________

x + y = 8 →

6 + 2 = 8 →

8 = 8 ✓

x² + y² = 40 →

6² + 2² →

36 + 4 = 40 →

40 = 40 ✓

Answer:

280

Step-by-step explanation:

Answer:

35C12 = 834451800

Step-by-step explanation:

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

The solution of the given expression is 3.33  x  10⁹.

The arrangement of the different things or numbers in a number of ways is called the combination.

The solution will be:-

[tex]^{35}{C_{12}=\dfrac{35!}{12!\ 23!}\\\\\\\\\\\\\\^\\35}{C_{12}=\dfrac{35\times 34\times 33\times32\times 31\times 30\times 29\times 28\times 27\times 26\times 25\times 24}{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times }\\\\\\[/tex]

[tex]^{35}{C_{12}=3.33\times 10^9[/tex]

Therefore the solution to the given expression will be [tex]^{35}{C_{12}=3.33\times 10^9[/tex]

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