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2 years ago

Which of the following are solutions to the quadratic equation? Check all that

Mathematics

1 answer:

xenn [34]2 years ago

6 0

Step-by-step explanation:

I don't see options but here's the solution

2x²+9x-3=-x²+x

2x²+x²+9x-x-3=0

3x²+8x-3=0

(3x-1)(x+3)=0

Therefore x=⅓ or-3

You might be interested in

How do you determine whether a sum will be positive, negative, or 0 when adding a positive and a negative integer?

professor190 [17]

If the integers have the same absolute value ... they're the same number
but with different signs ... then their sum is zero.

Example: (plus) 927 added to (negative) 927 = zero

If the integers have different absolute values ... they're different numbers with different
signs ... then their sum has the same sign as the one with the bigger absolute value.

Examples:

==> (plus) 92 added to (negative) 91
   92 and 91 are 1 number apart on the number line.
   The positive number is bigger than the negative number.
   So the sum is +1 .

==> (plus) 35 added to (negative) 37
      35 and 37 are 2 numbers apart on the number line.
      The negative number is bigger than the positive one.
So the sum is -2 .

3 0

3 years ago

Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second ac

const2013 [10]

Answer:

first account with 6% interest ( x ) = $46000

second account with 4% interest ( y ) = $19000

Step-by-step explanation:

Principal = $65000

first interest rate = 6%

second interest rate = 4%

assuming ; X = money invested in first account , Y = money invested in second account

hence :

( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520

3900 - 0.06 y + 2600 - 0.04 x = 3520

0.04 x + 0.06 y = 3900 + 2600 - 3520

0.04 x + 0.06 y = 2980 ----- ( 1)

x + y = 65000 ------- ( 2 )

solve equation 1 and 2 simultaneously by elimination method

0.04 x + 0.06 y = 2980 ------ ( 3 )

0.06 x + 0.06 y = 3900 ------- ( 4 )

subtract equation 3 form equation 4

0.02 x = 920 , hence x = $46000

therefore y = $65000 - $46000 = $19000

6 0

3 years ago

152. divided by 190.

Katena32 [7]

The answer will be 4/5

8 0

3 years ago

The density of ethanol is around 0.8g/mL. What is the mass of 20mL of ethanol?

Harman [31]

Answer: 0.7893g//mL

If 20 mL of ethanol (density =0.7893g//mL) is mixed with 40mL water (density = 0.9971g//mL)

Step-by-step explanation:

4 0

3 years ago

2. At the local park, there is an annual fair that

mafiozo [28]

Answer:

132 children and 88 adults

Step-by-step explanation:

let x represent the amount of kids and y represent the amount of adults.

since the problem says there was a total of 220 people at the fair an equation can be made

x+y=220

the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:

1.5x + 4y = 550

using the equations we can make this systems of equations:

1.5x + 4y =550

x + y =220

solve the systems of equations by subracting y on both sides of th bottom equation:

x=220-y

since x is equivant to 220-y it can be substitued for x in the first equation to make this:

1.5(220-y)+4y =550

--solve for y--

y=88 - there were 88 adults

substute 88 for y in the second equation

x+88=220

--solve for x--

x=138 - there were 132 children

7 0

3 years ago