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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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3 years ago
A woman has a total of $ 12 , 000 to invest. She invests part of the money in an account that pays 7 % per year and the rest in
arlik [135]
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3 0
3 years ago
A horseback riding trail is 1 mi 40.8 ft long. How long is the trail in yards, feet, and inches?
ch4aika [34]

Answer:  1773.6 yards   5320.8 feet  64324.8 inches

Step-by-step explanation:  

1 mile in yards = 1760                                                                                         40.8 feet in yards = 13.6      1760 + 13.6 =<u> 1773.6 yards </u>

1 mile in feet = 5280 + 40.8 = <u> 5320.8 feet </u>

1 mile in inches  = 63360

40.8 feet in inches = 964.8

63360 + 964.8 = <u>64324.8 inches </u>

<u>hope this helps :) </u>



6 0
4 years ago
I have 54 coins in my pocket; some of them are quarters and the rest are nickels. In total, the coins are worth $6.10. How many
ss7ja [257]

Answer:

17 quarters, 37 nickels

Step-by-step explanation:

We just have to set up a system of equations

quarters are x

and nickels are y

x+y=54

0.25x+0.05y=6.10

now we can get ready to substitute

x=54-y

substitute it in

0.25(54-y)+0.05y=6.10

simplify/evaluate

13.5-0.25y+0.05y=6.10

-0.2y=-7.4

y=37

plug it back in

x+37=54

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3 0
3 years ago
64,000 ÷ 110 <br>Estimate :<br>Quotient :<br>Remainder: ​
Flura [38]

Answer:

640; 581 R 90; 90

Step-by-step explanation:

you can round 110 to 100

64000/100 is simply 640

then you do the real math

the quotient is 581 r 90

this means the remainder is 90

5 0
3 years ago
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