Find the area of a circle with diameter, d = 2m.
Give your answer in terms of pi

Answer:

a.)A and B are the intersection between the two curves. The x coordinate is the equation

[tex]f(x) = g(x)[/tex]

Let's solve it

[tex]\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0[/tex]

We can see that if we substitute x= 0 or x= 4 the equation is verified.

b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.

c. the x coordinate of C is the solution of [tex]f(x)=0[/tex] or [tex]\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2[/tex]

At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.

[tex](1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2[/tex] Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. [tex]1+3e=2 \rightarrow 3e=1 e= \frac13[/tex] So, going back to our equation, we can tell that the right hand side is [[tex]\mathbb{R}[/tex]]-(1+\frac13)[/tex] Not perfect, but good enough. Let's solve it now.

[tex]x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23[/tex]

Which seems close enough from the photo.

c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is [tex]y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2[/tex]

Answer:

y = 1/5x + 12/5

Step-by-step explanation:

First find the slope of the given line

m = ( y2-y1)/(x2-x1)

m =( -3- -4)/(0- -5)

   (-3+4) /(0+5)

    1/5

Parallel lines have the same slope

Using point slope form of a line

y-y1 = m(x-x1)

y - 2 = 1/5(x--2)

y -2 = 1/5(x+2)

Distribute

y-2 = 1/5x +2/5

Add 2 to each side

y-2+2 = 1/5x + 2/5 + 2

y = 1/5x + 2/5 + 10/5

y = 1/5x + 12/5

Answer:

B. y = 1/5x + 12/5

Answer:

[tex]{ \tt{pressure = \frac{force}{volume} }} \\ \\ { \tt{4900 = \frac{70.56}{v} }} \\ \\ { \tt{v = \frac{70.56}{4900} }} \\ \\ { \tt{ \underline{ \: v = 0.0144 \: {m}^{3} \: }}}[/tex]

Answer: They know approximately how many hours they will need to seed and harvest and can plan

Step-by-step explanation:

Answer:

The first set is a solution, the second is not.

Step-by-step explanation:

Testing by filling in the numbers into the equation:

(1, 1.5): x=1, y=1.5

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{6}{4}[/tex]

⇒ 1.5 =? 1.5  ⇒ Correct: is indeed solution to the equation

(12, 4): x=12, y=4

⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{12}{4}[/tex]  + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation

Answer:

They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

Answer:

yeppp i got the same answer

Step-by-step explanation:

6:15 to 7:45 is 1 hour and 30 minutes.

Dividing 1 hour and 30 minutes by 15 minute intervals equals 6

They rang the bell 6 times

Answer: 3/6 or 1/2

Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.

Answer:

1/2 cups of strawberries is required.

Step-by-step explanation:

1 pie = 1/6 cups of strawberries

=> 3 pies = 1/6 x 3

=> 3 pies = 1/2 cups of strawberries.

Hoped this helped.

Answer: Obtuse

Would appreciate brainly <3

Take 2 points

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{60-50}{30-10}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{10}{20}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{1}{2}[/tex]

Answer:

y=9

a=1.5

n=74

v=8

k=11

Answer:

A. Increasing on (-infinitity, infinity)

Step-by-step explanation:

If you look at the graph from left to right, the line is always going up towards higher numbers, meaning that it's always increasing.

Answer:

100

Step-by-step explanation:

119.833333333 times it goes into 719 119.833333333 times

Answer:

119 R5

Step-by-step explanation:

we first divide 7 by 6 and we get that it goes in once

so 1__

then after we do 7 - 6 and get a remainder of 1

we drop the 1 next to the other one and get 11

then we divide 11 by 6 and we get that it goes in once

so 11_

then after we do 11 - 6 we get a remainder of 5

we drop the 5 next to the nine and get 59

then we divide 59 by 6 and get 9

so 119

then after we do 59 - 54 and get a remainder of 5

so our answer is 119 R5

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-8 = -3×3 + b = -9 + b

1 = b

so, the full line equation is

y = -3x + 1

Answer:

here you go

Step-by-step explanation:

i have added y < 1/3x+1/2  --> this shows more of range so i also attached what  y = 1/3x+1/2 would look like

next time use this -

search up: desmos graphing calculator

Based on the information the amount she earn is: c. $1,016. 50 .

Hours worked= 45 -40

Hours worker=5 hours

Earning for first 40 hours

Earning = 40 × 21.40

Earning=$856

Earning for over 40 hours

Earning = 5 × 32.10

Earning=$160.5

Total earning

Total earning = $856 + $160.5

Total earning=$1,016.50

Inconclusion the amount she earn is: c. $1,016. 50 .

Learn more total earning here:https://brainly.com/question/13943984

Answer: 7

The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.

Would appreciate brainly <3

Answer:

true

Step-by-step explanation:

because you can start at zero and go on forever adding twos but it'll still be the same

Answer:

x=9

Step-by-step explanation:

Expand bracket

6x-18=36

Bring -18 to other side

6x=36+18

Add them

6x=54

Bring 6 to other side

x=54/6

Divide them

x=9

Answer:

forma exata

p=-1/14

Step-by-step explanation:

p=-0.0714285

Answer:

6/9

Step-by-step explanation:

1/3 is half 12/36 is 2×6 and 6×6 4/12 is 2×2 and 6×2 making 6/9 the odd one out as 6 can't go into 9 without making a decimal

The symbol of red in pic indicates that angle is right angle.

So, ∆ MOU = ∆ CUO = 90°

Answer:

y=mx+b

Step-by-step explanation:

m=slope

b= y-intercept

Answer:

24

Step-by-step explanation:

You input will always be your x so you just substitute x with 10 and simplify. Which is 30 minus 6, thus 24. :)

Answer:

200 I think just kidding or you ca