Given f(x) = 4x + 10 find f(2).

1) f(2) = -2
2) f(2) = 3
3) f(2) = 18
4) f(2) = 2

Answer:

3/12

Step-by-step explanation:

Because first off, you have to make 1/6 addable to 7/12. So multiply 1/6 by 2 and should get 2/12. Add the two together (2/12 + 7/12 = 9/12). Now, How much more needs to be added to make 12/12, 3/12. So I believe the answer is 3/12.

We want to see which of the given statements about the number pi are true.

The correct options are: a, d, and e.

First, let's talk a little bit about the number pi.

The irrational number pi is defined as the quotient between a circle's circumference and its diameter.

So if we know that a circle has a diameter D, the circumference of that circle is given by:

C = pi*D

Now let's analyze each option to see which ones are true.

a) "Pi is the area of a circle of radius 1."

The area of a circle of radius R is given by:

A = pi*R^2

So if the radius of this circle is R = 1. we have:

A = pi*1^2 = pi

So the area of this circle is pi, thus the statement is true.

b) "Pi is the area of a circle of diameter 1."

The diameter is twice the radius, so the radius of this circle is 0.5, we know that pi is the area of a circle of radius 1, not a circle of radius 0.5, so this is false.

c) "Pi is the circumference of a circle of radius 1."

The circumference of a circle of radius R is given by:

C = pi*2*R

If the radius is equal to 1 we have R = 1, then:

C = pi*2*1 = 2*pi

The circumference of this circle is 2*pi, not pi, so this is false.

d) "Pi is the circumference of a circle of diameter 1."

We know that the circumference of a circle of diameter D is:

C = pi*D

So if D = 1, we have:

C = pi*1 = pi

So the circumference of this circle is equal to pi, thus, this statement is true.

e) "Pi is the constant of proportionality relating the diameter of a circle to its circumference."

A proportional relation is:

y = k*x

where k is the constant of proportionality.

The relation between the circumference is given by:

C = pi*D

So yes, pi is the constant of proportionality, this is true.

F) "Pi is the constant of proportionality relating the radius of a circle to its area."

The area equation is:

A = pi*R^2

note that the radius is squared, so this is not a proportional relation, then the statement is false.

Finally, we can conclude that the true statements are:

a, d, e.

If you want to learn more, you can read:

https://brainly.com/question/7135052

Answer:

Option A

Step-by-step explanation:

[tex]25w+200=750\\\\25w+200-200=750-200\\\\25w=550\\\\\frac{25w=550}{25}\\\\\boxed{w=22}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

let the number of children be x

and the number of adults be a

let the total price be y

given that children tickets are $6 each

also, an adult ticket is $10

x+a=14-------1

y=6x+10a----2

Therefore the expression for the total price can be expressed as

Answer:

10a + 6(14-a)

Step-by-step explanation:

Can't offer an explanation right now, Ill come back later and add it.

I had this same problem, this is the correct answer.

Answer:

the answer is 40 boys

Step-by-step explanation:

Let's say there are x boys who play both cards and carrom.

We setup up an equation that involved all information given and x.

Boys who only play cards = 45-x

Boys who only play carrom = 20-x

Boys who play both = x

Add there together and you should get 60, which is the total number of students in the class.

(45-x)+(20-x)+x=60

65-x=60

x=5

Boys who only play cards=45-x=45–5=40

hope it helps you

Answer:

there are 15 boys who can play both games in the class.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

That’s a lot of work for each problem.

Answer:

1. Decreasing 2. Constant 3. Increasing 4. Constant

Step-by-step explanation:

:)

Answer:

Denise should plan to spend 36 minutes walking back.

Step-by-step explanation:

Let 'x' reflect the amount of time spent running in hours, then 3-x represents the time spent walking in hours.

here , we know,

           [tex]Distance= Speed \times time[/tex]

Given the values ,

[tex]Distance= 8x[/tex]  

[tex]speed=2mph[/tex]

[tex]Time=(3-x)hours[/tex]

Now , putting these values ,

[tex]8x=2(3-x)[/tex]

[tex]8x=6-2x[/tex]

[tex]10x=6[/tex]

[tex]x=\frac{6}{10}[/tex]

[tex]x=\frac{3}{5}[/tex]

[tex]\frac{3}{5} \times 60[/tex] = 36minutes (converting hours into minutes that is 1 hour = 60 minutes )

Hence , the answer is 36 minutes .

Answer:

a)  9/100 b) 7/20

Step-by-step explanation:

Brailiest and thx pleease!

Answer:

x=y/6 - 11/6        

y=-7/3  +2x/3

Step-by-step explanation:

Answer:

1

cant explain it it is too hard to but the answer is 1

Answer:

140 liters will remain after 10 mins

Step-by-step explanation:

The easy way is just multiply the amount lost per min by the number of mins.

Answer:

The burger is $5 each.

Step-by-step explanation:

8x = 40

x = 5

Answer:

the unit price would be $5

Step-by-step explanation:

40÷8=5

5×8=40

Answer:

x = - 1, y = 6

Step-by-step explanation:

Given the 2 equations

y = - 2x + 4 → (1)

y = 6x + 12 → (2)

Substitute y = 6x + 12 into (1)

6x + 12 = - 2x + 4 ( add 2x to both sides )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 6(- 1) + 12 = - 6 + 12 = 6

Solution is (- 1, 6 )

Answer:

It’s not c on Plato

Step-by-step explanation:

Answer: A

Step-by-step explanation:

19+13x+32

13x=32-19

13x=13

x=1

Answer:

789.6 in³

Step-by-step explanation:

r=d/2

r=15.6/2

r=7.8 in

Then Volume=1/3pier²h

1/3(3.14)(7.8)²(12.4)

1/3(3.14)(60.84)(12.4)

2368.866/3

=789.622

=789.6 in³

Answer:

Step-by-step explanation:

Amount charged = $5.00

Amount charged for per mile = $3.00

Miles traveled =

Total amount charged = $41.00

Total amount = $3 per mile - $5

41-5 = 35

Miles traveled= $35 ÷ $3

35÷3 = 11.66

Miles traveled = 11/11.66

Answer:

D 30 square units

Step-by-step explanation:

count all the squares inside the triangle including the non full squares

Answer:

C. 25

Step-by-step explanation:

count the squares inside and the take two half ones and turn it into one

Answer:

Strawberry- 6  12  18

Banana -      1    2   3

Hope this helps :)

Step-by-step explanation:

Answer:

P(-9) = -22 hope this helps! i may be wrong tho, cuz i haven't done this in a while

Step-by-step explanation:

P(-9) = 3(-9) +5

P(-9) = -27+5

P(-9) = -22

Answer:

0.58

Step-by-step explanation:

Answer:

The diameter of the circle = 10 cm

The radius of the circle= 10/2= 5 cm

Area of the circle = pi r^2

= pi 5^2

=3.14 *25

= 78.5 cm ^2

Answer:

no bc you have two of the same x's

Step-by-step explanation:

Answer:

$18.14

Step-by-step explanation:

step one:

given that Mixed nut sell for $7.89 a pound

that is 1 pound sells for $7.89

           2.3 pound will cost x

step two:

x= $7.89(2.3)

x=18.14

Therefore the cost os 2.3 pounds will be $18.14

Answer:

d + r ≥ 30

$0.75d + $1.25r ≤ $30

Step-by-step explanation:

Given the following :

Number of items to purchase = atleast 30

Total cost must be no more than 30

cost of donut (d) = $0.75

Cost of cinnamon (r) = $1.25

Number of donuts and cinnamon to purchase

To total number of items :

Donut + cinnamon ≥ 30

d + r ≥ 30

Cost of items to purchase :

Cost = price per item * number of items

$0.75d + $1.25r ≤ $30

Answer:

2 hours

Step-by-step explanation:

Given the following :

Darryl :

Speed = 25mph

Jacob:

Traveled in opposite direction

Speed = 35mph

After Darryl had traveled for 4 hours, Distance between them was 170 miles

Distance traveled by Darryl :

Speed * time = (25 * 4) = 100 miles

Total distance = distance traveled by Darryl + distance traveled by Jacob

170 miles = 100 miles + distance traveled by jacob

Distance traveled by Jacob = 170 - 100

Distance traveled by Jacob = 70 miles

Time = distance / speed

Time traveled by Jacob = 70 miles / 35mph

Time traveled by Jacob = 2 hours

Answer:(1,4)

Step-by-step explanation:

Answer:

wouldnt it be 3?

Step-by-step explanation:

Answer:

3 hectoliters

Step-by-step explanation:

Divide the volume value by 100