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KengaRu [80]
3 years ago
13

What fraction is shown on the number line?

Mathematics
2 answers:
Alja [10]3 years ago
6 0
The answer should be 7/10!
omeli [17]3 years ago
3 0

Answer:

7/10

Step-by-step explanation:

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1.) What is the equation of the path of firework #1? Write your equation in general form.
valina [46]

1. I'm assumig that the paths are perfect parabolas

this means that their general forms can be written in y=ax^2+bx+c

it's easier to find vertex form first then expand to get general form

vertex form is y=a(x-h)^2+k where the vertex is (h,k) and a is a constant


firework #1

vertex is (10,50), so (h,k)=(10,50) and h=10, k=50

h_1=a(t-10)^2+50

to find the value of a, subsitute another point

(0,0)

0=a(0-10)^2+50)

0=100a+50

a=\frac{-1}{2}

so the equation in vertex form is h_1=\frac{-1}{2}(t-10)^2+50

expand to get general form

h_1=\frac{-1}{2}(t^2-20t+100)+50

h_1=\frac{-1}{2}t^2+10t-50+50

h_1=\frac{-1}{2}t^2+10t





2.

same as last time

vertex is (10,72) so (h,k)=(10,72) so h=10 and k=72

equation is h_2=a(t-10)^2+72

find a

use another point

(0,22)

22=a(0-10)^2+72

22=100a+72

-50=100a

a=\frac{-1}{2}

so the equation in vertex form is h_2=\frac{-1}{2}(t-10)^2+72




3.

range is the numbers that h is allowed to be

think about what h represents. it represents the height of the rocket

from the graph, we can see that the lowest possible height is 0yd and the highest height is 50yd

so range is 0 to 50 or 0≤h≤50


domain is the numbers that t is allowed to be

think about what t represents. it represents how long the rocket has been flying

it will stop flying when it hits the ground or at t=20

it starts flying at t=0

so domain is from 0 to 20 or 0≤t≤20

3 0
3 years ago
X-Y
alex41 [277]
B) 12

3•3=9 so 4•3=12
3 0
3 years ago
Read 2 more answers
What is the answer to 1 1/3 + (-5/6)
Ainat [17]
The answer is 0.5

Have an nice day!

3 0
3 years ago
If a = 10 , than a2 =
Bad White [126]

Step-by-step explanation:

if a = 10

a² = 10²= 100

Hope it will help :)

6 0
3 years ago
Read 2 more answers
Advantages of mathematical models are they are _____ and easy to produce allowing faster _____ makingThey can help us _____ our
pochemuha

Answer:

Advantages of mathematical models are they are useful and easy to prodce allowing faster decision making. They can help us to grow our understanding of the real world and they enable us to be made as well as help provide to understand the exact condition of stability for the considered system.

Step-by-step explanation:

Advantages of mathematical models are they are useful and easy to prodce allowing faster decision making. They can help us to grow our understanding of the real world and they enable us to be made as well as help provide to understand the exact condition of stability for the considered system.

8 0
3 years ago
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