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3 years ago

Answer questions 10 and 11 based on the information below.

Mathematics

2 answers:

katen-ka-za [31]3 years ago

6 0

Answer:

10: The answer would be the first option, as the temperature increases the number of people increases

11. The answer would be the first option (18, 105)

Step-by-step explanation:

10. As you look at the chart you notice how we look further to the right the temperature increases. (found at bottom of graph) You can see on the far left it shows the amount of people who show up at the pool. With this being said, you can find the answer would be, the warmer it gets the more people show up.

11. Taking another look at the graph we can see there are a bunch of dots together and one away from them. That one would be the Outlier, or a data point away from the others. Looking at our answer options we see that (18,105) Is best fitting to the outlier because the bottom numbers go by 2's and the side go by 50's

I hope this explains how to read a chart better! <3

ollegr [7]3 years ago

5 0

Answer:

10. As the temperature increases the number of people increases.

Step-by-step explanation:

Because its better to go to a pool when its hot.

sry i dont know 11 :(

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3 years ago

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

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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

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

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

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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 $h_2=\frac{-1}{2}(t-10)^2+72$

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

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