What is the constant of proportionality?

Answer:

F(x) = 3·x² vertex (0, 0) axis x = 0 x-int (0, 0) y-int (0, 0) min minimum  value (0, 0) domain (x ∈ R) range (f(x) ∈ R+)

Step-by-step explanation:

The given function is f(x) = 3·x²

The given parabola in vertex form y = a(x - h)² + k

Where;

(h, k) = The vertex

By comparison, we have;

h = 0

k - 0

Therefore;

1) The vertex = (0, 0)

2) The axis of symmetry = The line x = 0

3) The x-intercept = The vertex = (0, 0)

4) The y-intercept = The vertex = (0, 0)

5) The minimum value = The vertex = (0, 0)

6) The domain = All real numbers (x ∈ R)

7) The range = All positive real numbers including 0 (f(x) ∈ R+)

Answer:

If you can pin the picture of the triangles to the comments here I would be very happy to help you!

Answer:

You have to eat it all fast

Step-by-step explanation:

There is not real question here

Answer:

17 meters

Step-by-step explanation:

I did 16^2 and 7^2 to get, 256 + 49 = 305. 305 squared is 17.4... Once you round it you should get the answer 17 meters.

Hope this helps :)

Answer:

The answer is 17 meter

Step-by-step explanation:

So the formula for this is a^2 + b^2 = c^

The two legs are a and b

So plug those into the equation

It should look something like this 7^2 + 16^2 = c^2

Then solve the exponents and you get 49 + 256 = c^2

After that just add the two integers and you have 305

Finally take the square root of 305 and you get 17

pls mark brainliest because i didnt waste your time Lol

Answer:

t = 15 s

Step-by-step explanation:

A projectile is thrown upward so that it's distance above the ground after t seconds is as follows :

[tex]h=-16t^2+480t[/tex] ...(1)

We need to find after how many seconds does it reach its maximum height. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d(-16t^2+480t)}{dt}=0\\\\-32t+480=0\\\\t=\dfrac{480}{32}\\\\t=15\ s[/tex]

So, it will reach its maximum height in 15 seconds.

Answer:

Since its speed is higher, plane 1 is faster than plane 2.

Step-by-step explanation:

Comparing Speeds

The formula for the speed of an object who travels a distance d in a time t is:

[tex]\displaystyle v=\frac{d}{t}[/tex]

We have to compare the speeds of the two planes:

The first plane travels d1=2800 miles in t1=5 hours

The second plane travels d2=3885 miles in t2= 7 hours

Calculate both speeds as follows:

[tex]\displaystyle v_1=\frac{d_1}{t_1}[/tex]

[tex]\displaystyle v_1=\frac{2800}{5}[/tex]

[tex]v_1=560\ mi/h[/tex]

[tex]\displaystyle v_2=\frac{d_2}{t_2}[/tex]

[tex]\displaystyle v_2=\frac{3885}{7}[/tex]

[tex]v_2=555\ mi/h[/tex]

Since its speed is higher, plane 1 is faster than plane 2.

Answer:

3948 members

Step-by-step explanation:

SInce a is the initial amount, a = 2000. b represents growth factor, and the amount increases by 12% every year, so b = 1.12. Since you want to find the value in 6 years, x= 6. Therefore your equation is y = 2000 • 1.12 ^ 6. Plug it into your calculator and you get y =  3947.64, and since they are people you round up to 3948 members.

Answer:

m<P = 30°

Step-by-step explanation:

∆PQR has two equal sides. An isosceles ∆ has two equal sides and the angles opposite the two equal sides are congruent to each other.

Thus, we can conclude that ∆PQR is an isosceles ∆ with two equal base angles, <P and <Q.

Since m<Q = 75°, therefore, m<R = 75°.

m<P = 180 - (75 + 75) (sum of ∆)

m<P = 30°

Answer:

5.728 hours

Step-by-step explanation:

$225.25 - $125 =

$100.25

$100.25/ $17.50 =

5.728 hours

Answer:

Step-by-step explanation:

Let x be the number of hours worked

17.5x + 125 = 221.24

17.5x = 221.25 - 125

17.5x = 96.25

x = 96.25/17.5

x = 5.5 hours

Answer:

215 mm

Step-by-step explanation:

1 cm = 10 mm

21.5 cm * (10 mm)/(1 cm) = 215 mm

Answer: 215 mm

Answer:

Rate of change and slope is the same since they are both terms of every rate, but rate of change can be said in any terms as in exponential and linear, etc. While slopes are only for linear equations.

Step-by-step explanation:

Hope this helps :)

Answer:

$44550 is your answer

Step-by-step explanation:

.

Answer:

if your destination is 180 miles away and you drive 60 mph how long does the trip take? So it takes 3 hrs.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Hope this helps!

Answer:

10

Step-by-step explanation:

The easiest way to understand this is not the shortest way.

Give Michael 4 fives and then add an x.

5 + 5 + 5 + 5 + x

Now divide by 5 and equate that to 6

(5 + 5 + 5 + 5 + x)/5 = 6              

Combine the left side

(20 + x)/5 = 6

Multiply by 5

(20 + x) = 6*5

20 + x = 30

Subtract 20 from both sides

x = 30 - 20

x = 10

He needs 10 three - pointers to average 6

The expression would be:

3x

x=number of plays

Insert 4:

3(4)

=12

They would 12 yards after 4 plays if losing 3 yards every play.

The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of yards the football team loses after 4 plays be A

Now , the equation will be

Let the amount of yards the football team loses per play = 3 yards

So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play

Substituting the values in the equation , we get

The amount of yards the football team loses after 4 plays A = 3 x 4

On simplifying the equation , we get

The amount of yards the football team loses after 4 plays A = 12 yards

Hence , the amount of yards is 12 yards

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

AA

Step-by-step explanation:

The smaller triangle and the bigger triangle have the same angle of 60 on one side.

They also have a common point at the top, which is also called a common angle.

You only need two angles to show that two triangles are similar, because the other angle has to be the same because all angles in a triangle add up to 180.

Answer:

C.15

Step-by-step explanation:

one box has 5 chocolates so 3*5=15

Answer:

x=-4

Step-by-step explanation:

-6x=17+7

-6x=24

x=-4

Answer:

x = -4

Step-by-step explanation:

Add 7 to each side of the equation (left and right of the equal sign) which should get you to -6x = 24. Then multipy both sides by -1 to make the -6x positive and turn the 24 negative. That should leave you with 6x = -24, then divide by 6 on each side and your answer should be x = -4

Answer:

You are going to be in the 1st floor/Vas a estar en el 1er piso!

Yo creo que

Step-by-step explanation:

Answer:

3.96mm/year

Step-by-step explanation:

Given that :

Given that:

Observed variation in water level over 6.2 years = - 13.64mm

Average annual trend shows rise in water level at 1.8 mm / year

difference between how much average water levels rose and how much the water level fell in the part of the river she observed?

Average Yearly observed variation :

Observed variation / number of years

-13.64mm / 6.2 years

= - 2.16 mm

Hence, observed yearly fall = - 2.16 mm

Yearly rise = 1.8mm / year

Difference :

( 1.8 mm/year) - (-2.16mm / year)

= (1.8 + 2.16) mm/year

= 3.96 mm/year

Answer:

24.8 millimeters

Step-by-step explanation:

Answer:

the answer is 325,000,000

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Good luck

Answer:

This is lowkey hard

Step-by-step explanation:

Answer:

234 mints

Step-by-step explanation:

if you represent small as s, medium as m, and large as l, you can write the equations as 3s=m  5m=l and 3510=l. We can then substitute 3510 for l and get 5m=3510 divide by 5 and get m=702 put that in the other equation and get 3s=702 divide by 3 and get s=234

Answer:

515x + 285y = 11,080

x + y = 30

Step-by-step explanation:

x= Amount of laptops

y= Amount of tablets

Answer:

Your answer would be A

Step-by-step explanation:

515x + 285y = 11,080

x + y = 30

Answer:

The answer is B

Step-by-step explanation:

I got B because it just looks like its flipped over the y axis. Its also even. Im sorry if you didnt get that but im not the best explainer at these types of problems lol. But its actually b trust me

pls mark brainliest because i didnt waste your time lol