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Artemon [7]
4 years ago
9

Solve this system of equations: y = 2t^2 + 3t + 500 and y = 3t^2 + t + 300

Mathematics
1 answer:
Jet001 [13]4 years ago
7 0
2t^2 =4t+3t=5t
5t+500
3t^2=9t+t=10t
10t+300
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Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.
Sphinxa [80]

Answer: (r-s)^{2} = 28

Step-by-step explanation:

  • x^{2} -6x+9=-2+9
  • (x-3)^{2}=7
  • (x-3)= -\sqrt{7} or \sqrt{7} <-- there's no plus/minus sign.
  • (x-3) = -\sqrt{7}
  • x = 3 -\sqrt{7} <-- root.
  • (x-3) = \sqrt{7}
  • x = 3+\sqrt{7} <-- root.
  • [(3-\sqrt{7})-(3+\sqrt{7})]^{2}
  • (3-\sqrt{7} -3 - \sqrt{7})^{2} <-- don't forget to distribute the negative.
  • (-2\sqrt{7})^{2}
  • (4)(7)
  • 28
4 0
3 years ago
koda Buys 0.75 kg of cortos,which ia 5times the mas of the union he also Buys. How much does the union weigh?
kari74 [83]

Answer:

0.15kg

Step-by-step explanation:

Given data

We are told that

0.75 kg of cortos weights 5times the mas of the onion

We want to find the mass of 1 onion

Hence

0.75 kgcortos = 5 onions

      x cortos = 1 onions

x= 0.75/5

x= 0.15kg

Hence 1 onion will weigh 0.15kg

4 0
3 years ago
What is the slope of the line?<br> 2x - 5y = 9<br> Choose 1 answers<br> 5<br> 2<br> O
Zepler [3.9K]

9514 1404 393

Answer:

  D.  2/5

Step-by-step explanation:

The slope is the x-coefficient when the equation is solved for y.

  2x -5y = 9 . . . . . . . given

  -5y = -2x +9 . . . . . .subtract 2x

  y = (-2/-5)x +9/(-5) . . . . divide by -5

  y = 2/5x -9/5

The coefficient of x is 2/5. That is the slope of the line.

The slope is 2/5.

5 0
3 years ago
In 2015, an autonomous vehicle drove from the Golden Gate Bridge to New York City at an average speed of 15.7 miles per hour. Th
ivolga24 [154]

The speed is the distance covered by an object at a particular time. The distance that is covered by the vehicle is 3,391 miles.

<h3>What is speed?</h3>

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that the journey took 9 days. Therefore, the time in hours will be equal to,

Time = 24 hours/day × Number of days

        = 24× 9

        = 216 hours

Also, given that the speed of the vehicle is 15.7 miles per hour, the number of hours for which it travels is 216 hours.

Distance = Speed × Time

              = 15.7 miles/hour × 216 hours

              = 3,391.2 miles

Hence, the distance that is covered by the vehicle is 3,391 miles.

Learn more about Speed here:

brainly.com/question/15100898

#SPJ2

4 0
2 years ago
P - 4 = -9 + p. Please help.
OverLord2011 [107]
Easy, take:

p-4=-9+p

Isolate the variable, this is what you are trying to find (p)

p-4=-9+p
-p        -p

-4=-9.

There is no variable, which means, there is NO SOLUTION!

You can put no solution, or ∅, as an answer.
4 0
3 years ago
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