Is the relation shown in the arrow diagram a function? Explain. *
(NEED HELP ASAP)

9514 1404 393

Answer:

Step-by-step explanation:

The area of the rectangle is given by ...

  A = LW

  A = (20 m)(14 m) = 280 m²

__

The area of the semicircle is ...

  A = (1/2)πr²

  A = (1/2)π(7 m)² = 24.5π m² ≈ 77 m²

__

Then the total area is ...

  280 m² +77 m² = 357 m²

_____

The width of the rectangle is the diameter of the circle, which is twice its radius. The area of a semicircle is 1/2 the area of a circle.

9514 1404 393

Answer:

Step-by-step explanation:

1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.

The linear factorization is ...

  f(x) = (x +1)(x -2)(x -i)(x +i)

The roots are -1, 2, -i, +i.

__

2. The graph (blue) shows the zeros are 1, 3, 4.

You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as

  (x -3)(x -4) . . . zeros of 3 and 4

__

I have attached a spreadsheet that does synthetic division. There are web sites that will do this, too. The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1). When you fill in the zero and coefficients, the built-in formulas do the rest.

9514 1404 393

Answer:

real: -1, 2; complex: +i, -i

1, 3, 4

Step-by-step explanation:

1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.

The linear factorization is ...

 f(x) = (x +1)(x -2)(x -i)(x +i)

The roots are -1, 2, -i, +i.

__

2. The graph (blue) shows the zeros are 1, 3, 4.

You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as

 (x -3)(x -4) . . . zeros of 3 and 4

__ The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1).

Answer:

21π/2

Step-by-step explanation:

94.55π is the area of the required surface.

[tex]S=\int\limits^{x_1}_{x_2} {2\pi f(x)\sqrt{1+f'(x)^2} \, dx[/tex]

is the exact area of a surface obtained by rotating the curve y=f(x), [tex]x_1\leq x\leq x_2[/tex] about the x-axis

Given,

[tex]x=\frac{1}{3}(y^2+2)^{\frac{3}{2}}[/tex]

[tex]\implies (3x)^\frac{2}{3}=y^2+2\\\implies y^2=(3x)^\frac{2}{3}-2[/tex]

[tex]\implies y=\sqrt{(3x)^\frac{2}{3}-2}[/tex]

Let

[tex]y=\sqrt{(3x)^\frac{2}{3}-2}=f(x)[/tex]

Now, the range of y is given 3≤y≤4

hence, the range of x is [tex](\frac{1}{3}(3^2+2)^{\frac{3}{2}}[/tex],[tex]\frac{1}{3}(4^2+2)^{\frac{3}{2}})[/tex]=(12.16,25.46).

So, [tex]S=\int\limits^{25.46}_{12.16} {2\pi f(x)\sqrt{1+f'(x)^2} dx\\\\=[\frac{\pi}{2}(3x)^{\frac{4}{3}}-\pi (3x)^{\frac{2}{3}}]^{25.46}_{12.16}\\=101.63\pi - 6.99 \pi \\= 94.55 \pi[/tex]

is the area of the required surface.

Hence, 94.55π is the area of the required surface.

Learn more about the area of surface- brainly.com/question/24126051

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Answer:

[tex](4, -3 )[/tex]

General Formulas and Concepts:

Pre-Algebra I

Algebra I

Step-by-step explanation:

Step 1: Define

R (9, 3)

S (-1, -9)

Step 2: Find midpoint

Answer:

its d bc it is so yeah suck a toe hehehehehehehhehehehehehehehehhehehehehehehehehhehehehehhehehehehhehehehehehehehehehhehhehehehhhehehehehhehhehehehe

Answer: I’m pretty sure ur answer would be B) 5 2/5

Step-by-step explanation: good luck ! <3

Answer: 1a. 0.538

1b. 0.231

Step-by-step explanation:

For Section A.

Given data:

Numbers to be drawn = 1 to 13

Odd numbers = 7

Even numbers = 6

1a. Probability of drawing an odd number

= 7/13

= 0.538

1b. Probability of drawing a number less than 4.

= 3/13

= 0.231

Section B.

You need to provide me with the table containing the data, for me to be able to assist you with it.

Answer:

-1/2

Step-by-step explanation:

slope = m = (y2 - y1)/(x2 - x1) = (-2 - (-5))/(11 - 17) = 3/(-6) = -1/2

Answer:

Slope= [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

When you are looking for slope you should use this [tex]slope=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] then just plug in what you already know.

[tex]y_{1}=-5\\y_{2}=-2\\x_{1}=17\\x_{2}=11[/tex]

Now we insert it in the formula and solve to get the slope...

[tex]\frac{-2-(-5)}{11-17}=\frac{3}{-6}=-\frac{1}{2}[/tex]

Answer:

11 widgets

Step-by-step explanation:

544.50/4.5 = 121

square root 121 = 11

Answer:

3/4 or .75

Step-by-step explanation:

slope = dy/dx

dy = 1 - -2 = 3

dx = 2 - -2 = 4

slope = 3/4

Step-by-step explanation:

(1+2)/(2+2)= 3/4 is the slope

Answer:

[tex]x=5[/tex] is the required digit that can be used to correctly complete the equation.

Step-by-step explanation:

Given the equation

_____ × 1/10 = 1/2

Let 'x' be the required digit

If we put x=5 the L.H.S will be equal to R.H.S.

i.e.

5 × 1/10 = 5/10 = 1/2

so the equation becomes

Therefore, [tex]x=5[/tex] is the required digit that can be used to correctly complete the equation.

Answer:

10.) y=-3x+5

11.) y= -1/2 x+2

Step-by-step explanation:

step by step attchaed below

Answer:

4 feet/minute

explanation:

The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min

Answer:

She will not have enough money

Step-by-step explanation:

0.79x85=67.15

67.15+35=105.15

The quadratic model for the data set is  y = 1.2246x² - 5.0511x + 24.288

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic etc.

The standard form of polynomial (of degree 2) is:

y = ax² + bx + c

The quadratic model for the data set is  y = 1.2246x² - 5.0511x + 24.288

Find out more on polynomial at: brainly.com/question/2833285

Answer:

1.Nonagon-convex, regular

2.Quadrilateral-convex, irregular

3.Hexagon-concave, irregular

Answer:

1.-Nonagon-convex, regular

2.-Quadrilateral-convex, irregular

3.-Hexagon-concave, irregular

Answer:

There are 3 terms.

Answer:

The answer is the last line below.

Step-by-step explanation:

g(x) = 4x

h(x) = -3x^2 + 4

(g + h)(x) = 4x - 3x^2 + 4

Answer:

1.44

Step-by-step explanation:

because I am smart

Answer:

The simplified term for the given expression is 169.

Step-by-step explanation:

Solving within the parenthesis, given the expression:

13{6^2/(5^2-4^2)+9}

13{36/(25-16)+9}

13{36/9+9}

13(9+4)

13(13)

Therefore, the simplified term in terms of the expression, 13(6^2/5^2-4^2)+9), is 169.

Answer:

169 aidan talk to meee

Step-by-step explanation:

1.1     4 = 22

(4)2 = (22)2 = 24

        (62)      

 13 • (————————— +  9)

       (52 - 24)    

3.1     6 = 2•3

(6)2 = (2•3)2 = 22 • 3    (22•32)    

 13 • (——————— +  9)

          9                 (22•32)

Simplify   ———————

              9    

  4.1      Canceling out  32 as it appears on both sides of the fraction line

13 • (4 +  9) gives you 169

Answer:

40 is the answer

friend me

Answer:

5:7

Step-by-step explanation:

The days in the week whose names don't begin with 'T' are Sunday, Monday, Wednesday, Friday, and Saturday. I counted them, and found that there are five (5) of them. Then I counted the number of days in a full week, no matter how they're spelled. I counted seven (7) that time. The ratio of 5 to 7 is. 5:7 or 5/7.

Answer:

a and b

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Since, BX is the bisector of [tex] \angle BAC[/tex]

[tex]\therefore m\angle ABX = \frac {1}{2} m\angle ABC\\\\

\therefore 24= \frac {1}{2}\times (4x - 12)\\\\

\therefore 24= \frac {1}{2}\times 2(2x - 6)\\\\

\therefore 24= (2x - 6)\\\\

\therefore 24 = 2x - 6 \\ \\

\therefore 24 +6 = 2x\\\\

\therefore 30 = 2x \\\\

\therefore x = \frac{30}{2} \\\\

\therefore x = 15

[/tex]

Answer:

the answer is 295 students

Answer:

363-94+26 = 295 students

Answer:

-3,-2,-1,0,1,2,3

Step-by-step explanation: