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Ira Lisetskai [31]
3 years ago
15

Write the equation in standard form. Show Work!

Mathematics
1 answer:
Serhud [2]3 years ago
6 0

Answer:

1. 2x^2-15x+17=0

2. 2.4x^2-3.5x-2.2=0

3. -4.2x^2+6.8x-2=0

Step-by-step explanation:

Standard form is written as ax^2+bx+c=0. To write each equation in standard from:

  • Distribute into any parenthesis
  • Move terms across the equal sign with inverse operations
  • Combine any like terms

1.

2(x-3)^2=3x+1\\\\2(x^2-6x+9)=3x+1\\\\2x^2-12x+18=3x+1\\\\2x^2-15x+17=0

2.

2.4x^2-3.5x=2.2\\\\2.4x^2-3.5x-2.2=0

3.

6.8x - 2 = 4.2x^2\\\\-4.2x^2+6.8x-2=0

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If you need to finish without having a negative exponent in your answer, then remember a negative exponent means that factor is on the wrong side of the fraction.

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Read 2 more answers
ANSWER ASAP!!!
denis23 [38]

Answer:

Then, the object will take 29.11 min to travel 4\frac{9}{10}miles

Step-by-step explanation:

When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:

time=\frac{distance}{speed} (equation 1)

In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easily:

speed=10\frac{1}{10} \frac{mi}{h} =\frac{(10*10)+1}{10} \frac{mi}{h}=\frac{101}{10}  \frac{mi}{h}

distance=4\frac{9}{10}mi=\frac{(4*10)+9}{10}mi=\frac{49}{10}mi

So, now we can calculate the time using the equation 1:

time=\frac{distance}{speed}=\frac{\frac{49}{10}mi }{\frac{101}{10} \frac{mi}{h} } =\frac{49*10}{101*10} h

time=\frac{49}{101}h=0.49h

And, if we want the result in minutes:

time=\frac{49}{101}h*\frac{60min}{1h}  =29.11min

Then, the object will take 29.11 min to travel 4\frac{9}{10}miles

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