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3 years ago

14

Sadie used 333.3 gallons of water over the course of 3 days. How much water did Sadie use, on average, each day?

1 answer:

Rashid [163]3 years ago

3 0

Answer: 111.1

Step-by-step explanation: 333.3/3 = 111.1

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PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

<u>Given quadratic functions</u>:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

<u>Factor</u> the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the <u>zero-product property</u> to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

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1 year ago

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Leno4ka [110]

Answer:

10 in

Step-by-step explanation:

8 0

3 years ago

What is the simplest for of 72

White raven [17]

Answer:

18/25

Step-by-step explanation:

And as any numbers can divide exactly both numbers, then “18/25” is the simplest form of “. 72”.

8 0

3 years ago

Read 2 more answers

Please answer correctly, will mark brainliest

Helga [31]

Answer:

32.8

Step-by-step explanation:

C^2 - B^2 = A^2

34.6 ^2 - 11^2 = A^2

1197.16 - 121 = A^2

1076.16 = A^2

4 0

3 years ago

Find the missing coordinates y+7x=1<br><br> (-1, )<br> (4, )

Pachacha [2.7K]

Answer:

(-1,8)

(4,-27)

Step-by-step explanation:

y+7x=1

Let x = -1 and find y

y+7(-1)=1

y -7 =1

Add 7 to each side

y-7+7 = 1+7

y = 8

(-1,8)

Let x = 4 and find y

y+7(4)=1

y +28 =1

Subtract 28 from each side

y+28-28 = 1-28

y = -27

(4,-27)

6 0

2 years ago