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andrey2020 [161]
3 years ago
14

Does a proportional relationship have a constant rate of change?

Mathematics
1 answer:
Ghella [55]3 years ago
3 0
Yes the proportial relationship all increase by the same number so that would be your rate of change
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Please write the equation and solve:
Olegator [25]
A nonmember would have to go skating 11 times a year and a member would have to go skating 12 times a year.

They each paid $110. 

I hope this is correct!

Good luck:)

3 0
3 years ago
A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
uysha [10]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

Since h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

6 0
3 years ago
PLEASE HELP DUE IN A HOUR I WILL GIVE BRAINLIST
balandron [24]

Answer: here is an example in the screenshot

it is A,B,C, or D

Step-by-step explanation:

For a given perimeter, the area will be maximized when all the sides are the same length, which makes it actually a square. A square is still a rectangle, though! So, if you know the perimeter, divide it by four to determine the length of each side. Then multiply the length times the width to get the area.

BTW U CAN USE A CALCULATOR

6 0
3 years ago
(15 Points!!!) What is the length of side A in centimetres?<br> A. 1/6<br> B. 1/2<br> C. 2<br> D. 6
Licemer1 [7]

The length of side A in centimeters is 6cm

D. 6

3 0
3 years ago
If two dice are rolled, find the probability of rolling two 6's.
djyliett [7]
Total no. of outcomes when two dice are rolled = 36

No. of outcome when 6 will be on both dice = 1

Probability of rolling two 6's = 1/36

Hope this helps!
8 0
3 years ago
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