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3 years ago

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Is Claire has a half a gallon of milk left in the fridge and she wants to drink 10 ounces of milk a day how many days of milk do

es she have left

1 answer:

Airida [17]3 years ago

8 0

6.4 days will how long the half gallon of milk will last.

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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

8 0

2 years ago

Read 2 more answers

Every small business must register with the secretary of state in their home state,

lawyer [7]

True is the answer ....

4 0

4 years ago

WORK OUT (8*10^-3)*(2*10^-4)

frutty [35]

-First we have to work out what’s in parenthesis.
(8*10^-3)=(8*0.001)=0.008

-This is for the second parenthesis
(2*10^-4)=(2*0.0001)=0.0002

-Now we multiply them together

ANSWER: 0.0000016

4 0

3 years ago

Read 2 more answers

What is the value of x<br> (2x+6)=32

OLEGan [10]

Answer:

the value of x is 13 because 2 times 13 equals 26 and 26 plus 6 equals 32.

7 0

3 years ago

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The table above shows some values of the linear function F. Which of the following defines F? A) f(n) = n-3 B) f(n) = 2n-4 C) f(

andre [41]

Answer:

3n - 5

Step-by-step explanation:

f(n) = 3n - 5. Works for all of them

8 0

2 years ago