colin rolls a fair dice 18 time, how many times would colin expect to roll an odd number?

Answer:

Work shown below!

Step-by-step explanation:

[tex]x^{4}-5x^{2} +4[/tex] = [tex]0[/tex]

[tex]A[/tex] = [tex]x^{2}[/tex]

[tex]A^{2} -5A+4[/tex] = [tex]0[/tex]

[tex](A-1)(A-4)[/tex] = [tex]0[/tex]

[tex](x^{2}-1)(x^{2} -4) =0\\(x-1)(x+1)(x-2)(x+2)=0[/tex]

x - 1 = 0

Add 1 to both sides;

x = 1

x + 1 = 0

Subtract 1 from both sides;

x = -1

x - 2 = 0

Add 2 to both sides;

x = 2

x + 2 = 0

Subtract 2 from both sides;

x = -2

Answer:

Y = 3/4x - 2

Step-by-step explanation:

Slope (rise/run) is 3/4 and the y-intercept is -2.

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An equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.

The given coordinate points are (4, 1) and (8, 4).

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Here, slope = (y2-y1)/(x2-x1)

= (4-1)/(8-4)

= 3/4

Put m=3/4 and (x,y)=(4,1) in y=mx+c

1=3/4 (4)+c

⇒c=-2

Now, substitute m=3/4 and c=-2 in y=mx+c and simplify

That is y=3/4 x-2

Therefore, an equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.

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An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial). In other words, the quantity has doubled. An increase of 800% means the final amount is 9 times the original (100% + 800% = 900% = 9 times as large).

Answer:

Option C

Step-by-step explanation:

[tex]f(x)=3x+2\\\\f(5)=3(5)+2\\\\f(5)=15+2\\\\\boxed{f(5)=17}[/tex]

Hope this helps.

Given:

f(x) = 3x + 2

To Find:

f(5)

Answer:

C. 17

Step-by-step explanation:

Evaluate 3x + 2 where x = 5:

[tex] \longrightarrow [/tex] 3 × 5 + 2

3 × 5 = 15:

[tex] \longrightarrow [/tex] 15 + 2

15 + 2 = 17:

[tex] \longrightarrow [/tex] 17

Answer:

Step-by-step explanation:

First, solve for each function separately:

F(5)=52+4(5)F(5)=25+20⇒F(5)=45

G(6)=2(6)+2G(6)=12+2⇒G(6)=1

Now, let's add our solutions together:

F(5)+G(6)=45+14=59

Answer:

The three numbers are 19, 18, and 31.

Step-by-step explanation:

The three numbers are x, y, and z.

y=x-1

z=2y-5

z=x+12

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

y=18

z=31

The three numbers are 19, 18 and 31

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

let the three numbers be x, y, and z.

So, according to question

The second of three numbers is one less than the first,

y = x-1

The third number is 5 less than twice the second,

z=2y-5

also, If the third number exceeds the first number by

12z=x+12

Now, equating the equations

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

So, y=18 and z=31.

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Answer:5 and 1/16

Step-by-step explanation:

Answer:

Not directly proportional

Oh and can you give me brainliest

Answer:

4%

Step-by-step explanation:

12/300

hope this helps

Let's solve your equation step-by-step.

2x+9=8x+21

Step 1: Subtract 8x from both sides.

2x+9−8x=8x+21−8x

−6x+9=21

Step 2: Subtract 9 from both sides.

−6x+9−9=21−9

−6x=12

Step 3: Divide both sides by -6.

-6x/-6=12/-6

x=-2

Answer:

-2 = x

Step-by-step explanation:

First, combine like-terms. I subtracted 21 from both sides and subtracted 2x from both sides. This gave us 12 = -6x. Then, divide to solve for x. This gives us -2 = x.

Hope this helps! Let me know!

Answer:

1.)✔ 12 1/2

2.) ✔ 1/2

3.) ✔ 6 ¼

Step-by-step explanation:

Answer:

26/24

Step-by-step explanation:

you multiply 1 by 8 and 6 by three as well as 3 by 8 and 8 by three to get 8/24 and 18/24 . now that you have a common denominator, you can add the two together to get 26/24

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Find slope using the slope formula:  [tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in the given points : [tex]\frac{7-5}{4-1}[/tex]

Calculate by subtracting the numbers : [tex]\frac{2}{3}[/tex]

Solution : [tex]\frac{2}{3}[/tex]

Answer:

11 - (-3 5/8)

= 11 + 3 5/8 ( 2 negative signs become positive)

answer is B.11 + 3 5/8

Step-by-step explanation:

Answer:

The answer is 11 + 3 5/8

Step-by-step explanation:

I did it on khan

Answer:-5 is the x-intercept, -4 is the y

Step-by-step explanation:y intercept is when x=0, and the other way around

Answer:

n = 6

Step-by-step explanation:

2n - 32 = 10n - 80

2n - 10n = -80 + 32

-8n = -48

-48/-8 = 6

Answer:

[tex](x-y)(x^2+xy++y^2)[/tex]

Step-by-step explanation:

[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]

Answer:

It would be D

Step-by-step explanation:

Got it right on Edge 2021

Answer:

no

Step-by-step explanation:

there are 2 1's in that function

Answer:

9 inches

Step-by-step explanation:

We see all sides are the same length:

4x+3=3(2x-5)

4x+3=6x-15

18=2x

x=9

Therefore 9 inches.

Answer:

B

Step-by-step explanation:

if it is a vertical line, x=1 for all values of y

Answer:it’s B i just took this

Step-by-step explanation:

Answer:

175ft an hour

Step-by-step explanation: lets say t=hours

so 2t=400ft and 6t=700ft

the difference between hours is 4 because 6-4=2

so we would multiply 4 by ?

to get the missing # you would have to multiple 4 by numbers between 170 and 190 because anything under 170 is no where near 175 and anything above 190 is way off 175. Answer is 175ft per hour

Answer:

total distance =700+400ft

time =2+8 =10hour

rate =distance/time=1100/10=110 ft/hour

since he stops two times

rate of change =110/2=75ft/hour

The correct answer is: A. 150 more students tickets sold than adult tickets.

Answer:

Rob will have to spend 5 hours writing this week in order to have written a total of 16 pages.

Step-by-step explanation:

From the information given, you can use the formula p=h+11 and solve for h. Then, you have to replace p with 16 to get the amount of hours that Rob will have to spend writing this week in order to have written a total of 16 pages:

p=h+11

h=p-11

h=16-11

h=5

According to this, the answer is that Rob will have to spend 5 hours writing this week in order to have written a total of 16 pages.

Answer:

1. D

2. D

Step-by-step explanation:

Answer:

i thinks it's D im not so sure but i think it's D

Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

The term which describes the point T in triangle QRS is option A. Circumcenter.

Here, given is a triangle QRS.

It is clear that three lines are drawn and all the three lines intersect at the point T.

Each of the line is perpendicular to each of the sides of the triangle.

And each of the line bisects each of the sides, that is sides are being divided in to half.

So T is the intersecting point of all the perpendicular bisectors of the sides, which is the definition of circumcenter.

Thus, T is the circumcenter of the triangle QRS.

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