You take measurements of the distance traveled by an object that is increasing its speed at a constant rate. The distance traveled d as a function of time t can be modeled by a quadratic function. What is the quadratic function that models distances of 21 ft at 1 s, 59 ft at 2 s, and 141 ft at 4 s?

Answers

Answer 1

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given:

[tex]s_1 = 21 \ \ t_1 = 1\\\\s_2 = 59 \ \ t_2 = 2\\\\s_3 = 141 \ \ t_3 = 4[/tex]

All points are on the graph including its quadratic function, in order to install their coordinates to values of x and y with the following values:

[tex]y= ax^2 + bx + c\\\\21=a+b+c[/tex]      Inserting the coordinates of the first point

[tex]y= ax^2 + bx + c\\\\59 =4a+2b+c[/tex]              Inserting the coordinates of the second point

[tex]y= ax^2 + bx + c\\\\141=16a+4b+c[/tex]       Inserting the coordinates of the third point


Related Questions

find geometric probability​

Answers

Answer: 67%

Step-by-step explanation:

Since we're not solving for area I would just divide this circle into 6 equal parts. 3 on both sides of the diameter. The orange parts take up about 120/180 on one sides of the circle. So 2/3 of half the circle are covered in orange which means 2/6 of the whole circle is covered in orange. Which leaves us with 4/6 blank or white area. 4/6 as a decimal is 0.6666667 or 67%

Answer:

66.67 % (Rounded to the nearest hundreth)

66.666..%  or 66 2/3 %

Step-by-step explanation:

The area of the whole circle with radius 4 is 50.27

The white area is 4/6 =  2/3 of the total area = 33.51333333

The geometric probability is the    favorable area divided by the total area

   33. 513333 / 50.27 = 0.6666666   = 66.666666%

Add.
(a2+6)+(4a+6)

What is the answer?

Answers

Look at the explanation to understand the answer.

Step-by-step explanation:

Step 1.

Rewrite (a2) in a2 + 6 so the a is before 2

(a2 + 6) + (4a + 6) ⇒ (2a + 6) + (4a + 6)

Step 2.

We'll need to organize 2a + 6 + 4a + 6 into groups of like terms, so we can combine them easier.

They're two groups of like terms in the expression.

First group: 2a and 4a

Second group: 6 and 6

Now, rewrite it so the 6 is added by the other 6.

2a + 4a + 6 + 6

Step 3.

We'll need to combine like terms in 2a + 4a + 6 + 6 by adding all the numerical coefficients and copying the literal parts, if any. No numerical coefficient implies value of 1. Numerical 'like' terms will be added.

We already know the groups with like terms.

First group: 2a and 4a

Second group: 6 and 6

Let's solve.

2a + 4a = 6a

6 + 6 = 12

Combine 6a and 12 up and you'll get your answer.

6a + 12 is the answer.

what is 7.266435 986 159 17 to the nearest integer?​

Answers

Answer:

7

Step-by-step explanation:

Rounding rules. Anything below 5 will round down

Pls help me with this

Answers

36 36 36 36 36 36 36 36

help me please with my geometry

Answers

Answer: 47.86

Step-by-step explanation:

tan x =42/38

tan x= 1.105

x= 47.86

3/4 contained in 15 please help​

Answers

Answer:

11.25

Step-by-step explanation:

of-contained refers to multiplication

3/4*15

I’m guessing 11 1/4 lemme know if I’m wrong:)

What is the surface area of the right prism below?

Answers

350
Find the area of each shape then add all of the areas to get your surface area

A child sees a bird in a tree. The child’s eyes are 4 feet above the ground and 12 feet from the bird. The child sees the bird at the angle of 40°. What is the bird's approximate height above the ground? Round to the nearest tenth.

Answers

Answer:

SUBSCRIBE TO

GAME ANTICS

LIKE AND SHARE

Help really important

Answers

Answer: Its c

Step-by-step explanation:

Plz give brainliest

If cost of 15 eggs is ? 75, then find out the cost of 4 dozens eggs.
? 185
? 150
? 300
? 240

Answers

Answer:

240 is the amount

Answer:

240

Step-by-step explanation

1. 75 ÷ 15 =5

2. 12 x 4 = 48

3. 48 × 5 = 240

i need help with this..​

Answers

Answer:

a = 9

Step-by-step explanation:

sin45 = a/9√2

a = 9√2(sin45)

a = 9

Sam ran several errands and used 7 gallons of gas. There were 5 gallons left in the tank. (Use g as a variable.)

Answers

Answer:

[tex]g= 2[/tex]

Step-by-step explanation:

Given

[tex]Used = 7[/tex]

[tex]Left = 5[/tex]

Required

Determine the additional gallons used (g)

This is calculated as:

[tex]Left+ g= Used[/tex]

So, we have:

[tex]5 + g = 7[/tex]

Make g the subject

[tex]g = 7 - 5[/tex]

[tex]g= 2[/tex]

2020-2021-T-Math-Gr05-T10
Question: 1-5
Lia cut a long piece of string into 2 pieces. one piece of the string is 24 inches long, and the other place of the string is 12 inches long How many feet long was the piece of string before a cut it?

Answers

Answer:

36 inches.

Step-by-step explanation:

If one piece of string is  12 inches

and the second piece = 24 inches

Then the total is 12 + 24 = 36 inches.

Davis has a thin box that is 5 inches wide. He wants to use the box to store markers that are 1/2 inch wide. If he lines up the markers side by side and uses the entire width of the box, how many markers can Davis fit in the box?

Answers

Answer:

10

Step-by-step explanation:

Given that :

Width of box, W = 5 inches

Width of marker to be stored in box = 1/2 inch

The number of 1/2 inch marker which can be stored in box is :

Width of box ÷ width of marker to be stored in box

5 inches ÷ 1/2 inches

5 / 0.5

= 10

Hence, Ten 1/2-inch width marker can be stored in the box

For what range of checks were checking account a long's bank generate more earnings income then one at fellows bank

Answers

Answer:

Step-by-step explanation:

I NEED HELP ASAP PLEASE DON'T SPAM :(​

Answers

Answer:

Answer is D hope this helps

Step-by-step explanation:

Its D If this helps thank me lol

5 fewer than a number, k.

Answers

Answer:

k-5. The question seems incomplete though.

Answer:

k - 5

Step-by-step explanation:

5 fewer than a number, k can be written as 5 less than k, which is k - 5.

I will give brainliest to anyone who can help me with this

Answers

It’s F I think
I’m not sure

Answer:

I said F lol ............

EMERGENCY HELP PLS: The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height = ? ft.
Distance along the ground ? ft.

Answers

Answer:

1.9 feets (nearest tenth) ;

24.9 feets

Step-by-step explanation:

Given that :

Angle, θ = 4.3°

Length of ramp = 25

Maximum Height, h ;

sinθ = opposite / hypotenus

Sin 4.3 = h / 25

0.0749787 * 25 = h

1.874 feet = h

1.9 feets (nearest tenth)

Distance along the ground the ramp could cover :

Cos θ = Adjacent / hypotenus

Cos 4.3 = x / 25

0.9971851 = x / 25

0.9971851 * 25 = x

x = 24.929

x = 24.9 (nearest tenth)

Help me out , plzzzzz

Answers

Answer:0.14%

Step-by-step explanation:

A jug of juice has 6 cups of pineapple juice and 5 cups of orange juice. Write the ratio of the number of cups of pineapple juice to total number of cups of juice in three different ways.

Answers

Answer:

number of cups of pineapple to total number of cups...

6:11 or 6/11 or 6 to 11

Step-by-step explanation:

how to graph 2x + 6y = -8

Answers

this is how this should help.

Converting 165 pounds to the metric system results in a weight of

Answers

Answer:

74.8 kilo

Step-by-step explanation:

what is the surface area of the rectangular prism

Answers

340 you were right

Step-by-step explanation:

Answer:

340

Step-by-step explanation:

first you have to find one side

i will go with 10 and 8

10*8=80

there are two of them

160 save this number in your bank

8*5=40 for the base

there are two of these too

80 save this number in your mental bank

for the last side 10 and 5

10*5=50 there are two of them

100

now add them all up

100+80+160=340

hope this helps!

Tom spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 15 dollars?

Answers

Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.


T-shirt Sale
Any 3 T-shirts for $14.50
$3.99
$6.99
$5.99
A) Tom bought these three T-shirts at the sale price of $14.50. How much money did he save compared
to the original total price of the T-shirts?

Answers

Answer:

add 3.99 + 6.99 + 5.99 = 16.97 divide 14.50 by 16.97 you will get .854 multiply by 100 it is %85.4 that is the percentage he paid then he saves 100 - 85.4 = %14.6

Identify the slope and y-intercept of the following equation:
3x - 2y = -10

Answers

Answer:

m=3/2,y-int=5

Step-by-step explanation:

y=mx+b is the slope equation. since -10 is at the end of the equation and it does not have a variable next to it yk it is the y-intercept. if you want you draw this on a graph and you can see that you go up 3 and over 2

Please help me!
[One Step Inequalities]

Answers

Answer: B

Step-by-step explanation:

Answer:

x is greater than or equal to 4

Step-by-step explanation:

divide both sides by two, treating it as an equation

so x is greater than or equal to 4

Which expression is equivalent to -28 x 2 + 35 x ?

Answers

Answer:

35+28=31

Step-by-step explanation:

Linda finished her chemistry homework in 1/5 hours. Then she completed her math assignment in 2/3 hours. What was the total amount of time Linda spent doing these two assignments

Answers

Answer: 52 minutes

Change denomniators by multiplying by 5 and 3

1/5 x 3 = 3/15

2/3 x 5 = 10/15

Add

3/15 + 10/15 = 13/15

Multiply by 4 to get minutes

13/15 x 4 = 52/60

Answer:

52 minutes

Step-by-step explanation:

Chemistry hw: 1/5 x 60 min=12 min

Math assignment: 2/3 x 60 min = 40 min

Total time: 12 min + 40 min = 52 min

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