William was playing a board game that had a spinner with six equal ­sized
sections. Three of the sections were red, two sections were blue, and one
section was yellow. Find the probability that he landed on a purple section.

Answer:

(x-4.34)(x+1.84)=0

Step-by-step explanation:

2x^2 -5x-16=0

delta=

[tex]25 + 4 \times 2 \times 16 = 153[/tex]

x1,2=

[tex](5 + \sqrt{153} ) \div 4 = 4.34 \\ (5 - \sqrt{153} ) \div 4 = - 1 .84[/tex]

Answer:

number 1: {0,-6)    number 2: f(-2)=25 number 3: x=±10   number 4:B, or x=-2, x=3

number 5:36  i really hope this helps! have a good day!

Step-by-step explanation:

1: 2x^2+12x +0=0

this is how you set it up

next, you have to find the a,b,and c. This is my personal favorite way of doing this.

a=2 b=12, c=0

you plug it in to the quadratic formula which is

-b±√b^2-4ac/2a

(-12)±√(12)^2-4(2)(0)/2(2)

next you have to simplify

-12±√144-0/4

take the square root of 144

-12±12/4-

then, find the solutions of them

-12+12=0

0/4=0

x=0

we are not done yet

-12-12=-24

-24/4

x=-6

your solutions are 0,-6, which is C

2: it is giving us x, which is -2

plug in -2 to the right side of the equation.

2(-2)^2-4(-2)+9

2(4)-8+9

8-8+9

f(-2)=9

3: this one is fairly simple

x^2=100

take the square root of each side

x=±10

4: you have to replace y for 0 in this one

x^2-x-6=0

all you have to do is factor it out, and it turns into

(x+2)(x-3)

then turn these so they equal 0

x+2=0, x-3=0

x=-2     x=3

your answer would be B

5: this one is fairly simple too

the formula to completing the square is (b/2)^2

you plug in b, which is 12

12/2=6

6^2=36

you would add 36 to each side.

Answer:

7) {0, -6}

1) 25

2) x= ±10

3) x= 3, -2

4) 36

5) 225/4

6) x = -3±[tex]2\sqrt{3}[/tex]

Step-by-step explanation:

1) 2x^2 -4x + 9

2(-2)^2 - 4(-2) + 9

8+ 8 + 9

25

Answer:

18 cm and 42 cm

Step-by-step explanation:

a = wl

7w = 3l, then l = 7/3w

756 = w(7/3w)

756 = 7/3w²

w² = 324

w = 18

l = 42

Answer:

(23/2, 1/2)

Step-by-step explanation:

Let's solve this system through elimination by addition/subtraction:

Divide all three terms of the first equation by 3.  This results in the equivalent system

-2x - 2y = 33

2x + 4y = -32

Combining like terms results in:

2y = 1, and so y = 1/2.

Let's use the first equation and y = 1/2 to find x:

-6x - 6(1/2) = 66

This becomes -6x - 3 = 66, or -6x = 69, or x = -69/6 , or x = 23/2

The solution is thus (23/2, 1/2)

-

Answer:

1 560 000 miles / hr

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of triangular prism=120in³

Area of triangle ×length =120in³

1/2×6×x×4=120in³

12x=120

X=120/12=10in

yes since you multiply the x number by 3 to get y

Answer:

Step-by-step explanation:

f(x)= 36( 1 - 0.12)^x. F(x)= 36(0.88)^3. f(x)= 95.04    190-95.05 = 94.95 degree.

Because the temperature is going down, we will use (1-0.12) instead of (1+0.12). X=3 because it is what temperature after 3 min. x= time.

I don't understand the question that well, but please don't report me. I will fix it if I can.

Answer:

ez

Step-by-step explanation:

The solution is, A. & E. x=15/3/4.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that,

3/4x = 15

x= 15÷3/4

x=15/3/4

Hence, The solution is, A. & E. x=15/3/4.

To learn more on equation click:

brainly.com/question/24169758

#SPJ5

Answer:

5. 4(4a-b)

Step-by-step explanation:

i hope this helps :)

Answer:

1,124.12 mm

Step-by-step explanation:

Steps to answering this question :

First determine the radius of the circle from the area of the circle

Use the radius determined above to calculate the circumference

Area of a circle = nr²

where r = radius

n = pi = 3.14

100,608.7mm = nr²

to determine the radius, divide both sides of the equation by 3.14

32,040.98726mm = r²

Find the square root  of 32,040.98726mm

√32,040.98726mm

r = 179mm

Circumference of a circle = 2nr

2 x 179 x 3.14 = 1,124.12 mm

Answer:

here are my hypothesis

Step-by-step explanation:

0=0$

1= 5.99$

2 = 11.98$

3 = 17.97$

4 = 23.96$

5 = 29.95$

6 = 35.94$

Answer:

20

I assume the question asks how many chair legs there are in total.

If a chair has four legs and you have five chairs, you would multiply 5 times 4.

5 times 4 = 20

Answer:

(0, 50) (25, 57.5) (50, 122.5) (75, 195) (100, 275)

Step-by-step explanation:

We know that he earns 30% percent of the money made on sales, plus $50 a week. We know that he starts off with 50, because that's how much he made by working that week. To figure out how much money he made off of each one, we have to calculate 30% of the sale, and add that to the total amount of money he has made up to that point. I hope this helps :)

Answer:

y=50x(.3)+30

Step-by-step explanation:

You get an average of $50 per week and then work 30 hours per week but the outcome is multiplied by .30 from the sales commision so the answer would be y=50x(.3)+30

Answer:

110

Step-by-step explanation:

y = 11/6x where x is in minutes

there are 60 minutes in an hour

plug in 60 as x

11/6 *60 = 11*10 = 110

Answer:17

Step-by-step explanation:

Answer:

EG is perpendicular to HF

Step-by-step explanation:

We know this because in order for two segments to be perpendicular there has to be a right angle. And there is a right angle therefore segment EG is perpendicular to segment HF

Answer:F is perpindicular to G

Step-by-step explanation: Well I think this because they both have angles but im kinda confused to this is just a guess

Answer:

one piece = 1/3

Step-by-step explanation:

Answer:

she has 75 feet of ribbon, this number cant be expressed as a mixed number

Step-by-step explanation:

Answer:

3017.54

Step-by-step explanation:

3.14 x radius(squared)

31 squared =961

3.14 x 961=

Answer:

hello gimme-Dem points.

Step-by-step explanation:

Answer:

(g o f)(x) = x

Step-by-step explanation:

Given the functions f(x) = 2/x and g(x) = 2/x

(g o f)(x) = g(f(x))

g(f(x)) = g(2/x)

Replace x with 2/x in g(x)

g(f(x)) = 2/(2/x)

g(f(x)) = 2 * x/2

g(f(x)) = 2x/2

g(f(x)) = x

Hence the composite function g o f)(x) is x

Answer:

c = 1.05p

Step-by-step explanation:

the price of the hat before the increase was 100%, after the increase it becomes 100 + 5% = 105%. Representing it as a decimal becomes 1.05p

Let illustrate with an example.

The price of a hat was $100, after the 5% increase. the cost of the hat becomes

100 + (0.05 x 100) = 105

To find the percentage increase

divide 105 by 100 and subtract 1

(105/100) - 1 = 1.05

Answer:

Step-by-step explanation:

m = 1 / 2 = 0.5

Answer:

tenths

Step-by-step explanation:

Answer:

x, y

Step-by-step explanation:

Answer:

9 tens will be 90 (9x10=90) so there will be 90 ones

Step-by-step explanation:

I think that's what you are asking right?

Answer:

you are 100 percent correct

Answer:

12.5

Step-by-step explanation: add the formula

Answer:

60degrees

Step-by-step explanation

To get the angle x, you must first know that the sum of angle at a point is 360degrees. Hence;

x + <ADB + <CDB  = 360

x +150 + 150 = 360

x+ 300 = 360

x = 360 - 300

x = 60

Hence the value of x is 60degrees

Answer:

Slope is 5

Y-intercept is 35