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sukhopar [10]
3 years ago
12

X^2 -3x + 0 = 0 Factor and solve

Mathematics
2 answers:
Effectus [21]3 years ago
7 0
Sinc 0=0 then  the equation becomes
x^2-3x=0
factor out x from both terms using revers distributive (ab+ac=a(b+c))
(x)(x-3)=0
if yz=0 then assume that x and/or y=0 so
x=0 and
x-3=0


x=0



x-3=0
add 3 to both sides
x=3

x=3 or 0
Luda [366]3 years ago
3 0
So if you subtract the 0 out from the left side, the equation is now x^{2}-3x=0. Since a x is common in both of the terms on the left side, you can factor it out, now making the equation look like x(x-3)=0. When factoring, each of the separate things (x and (x-3)), must equal zero while the other one doesn't matter. So in order for the equation to be 0, the only potential options for x is 0 and 3. Therefore x=0 and x=3 are the two solutions
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Find three consecutive EVEN integers such that the sum of the smallest number and twice the middle number is 20 more than the la
nordsb [41]

define the 3 numbers

smallest number = x

middle number = x + 2

largest number = x + 4

write the equation

sum of the smallest number and twice the middle number

\begin{gathered} x+2(x+2) \\ x+2x+4 \\ 3x+4 \end{gathered}

20 more than the largest number

\begin{gathered} x+4+20 \\ x+24 \end{gathered}

equal the expressions

\begin{gathered} 3x+4=x+24 \\ 3x-x=24-4 \\ 2x=20 \\ x=\frac{20}{2} \\ x=10 \end{gathered}

the numbers should be 10, 12 and 14

\begin{gathered} 10+2\cdot(12)=14+20 \\ 10+24=34 \\ 34=34 \end{gathered}

5 0
1 year ago
I'm stuck what is 15% of 32
Len [333]
In math, 'of' means 'multiplied by,' so 15% of 32 translates to '15% * 32.'
Now solve the equation:
x = 15% * 32
x = .15 * 32
x = 4.8
6 0
3 years ago
Courtney is twice as old as Andre and three years older than Natalie. Courtney is half Shari's age. The difference between Shari
lesantik [10]

The question does not seem complete, but I'll represent the statement mathematically and look for their ages each. This is because the worst they can ask for is their ages.

Let C stand for Courtney's age, A for Andrei's age, N for Natalie's age and S for Shari's age. From the question we can deduce the following:

C = 2A

C = N + 3

C = S/2

S - N = C + A

S = 2C, N = C - 3 and A = C/2, therefore we have

2C - (C - 3) = C + C/2

C + 3 = C + C/2

C/2 = 3 and C = 6

A = C/2

A= 6/2

A = 3

N = C - 3

N = 6 - 3

N = 3

S = 2C

S = 2 x 6

S = 12.

C = 6, A = 3, N = 3 and S = 12

8 0
3 years ago
if a pound of grapes cost $0.14 in 1960 and the price of grapes increased at the same rate as the CPI from 1960 to 1980 by appro
masya89 [10]

The CPI increased from 29.6 to 82.4.  

The rate of increase, is:

82.4/29.6 = 2.78

Now multiply this rate to the $0.14 price of grapes from 1960.

$0.14 x 2.78 = $0.39

Now to get the amount of increase subtract the new price from the original price:

$0.39 - $0.14 = $0.25 increase.

5 0
3 years ago
What Number Is 10,000 Less Than 337,676
stepladder [879]
Look at the ten thousands place in 337,676.  It is 3. Take one away from it to get the answer.  It is 327,676.
5 0
3 years ago
Read 2 more answers
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