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3 years ago

85.4 to it's lowest terms

Mathematics

1 answer:

maksim [4K]3 years ago

7 0

The answer is 427/5 :))

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4x+3y how to solve this question and why is it such a small question

Law Incorporation [45]

I need help on that do you know the answer

4 0

3 years ago

PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

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

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

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

Factor 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 zero-product property 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

1 year ago

Read 2 more answers

Please help! A chemist has 100ml of 25% acid solution. How much of the solution does she need to drain and replace with 70% acid

ratelena [41]

Answer:

77.78

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP!

Juliette [100K]

Answer: 135 miles

Step-by-step explanation: If you go 70 miles in ones hour, then you’ll go 140 miles in 2 hours. Then it took 6 minutes longer because of traffic, and in traffic he drove 1 mile excluding 5 because he was 5 mph slower.

6 0

3 years ago

Read 2 more answers

Rek has a rope 135 feet long. He cuts it into 3 pieces. The 2nd piece is twice as long as the 1st piece. The 3rd piece is 3 time

AnnyKZ [126]

(2*3*1)=6

135/6=22.5

1st = 22.5 ft

2nd= 45 ft

3rd = 67.5 ft

add it up and you get 135 feet

3 0

3 years ago