Answer:
The mentioned number in the exercise is:
Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
- x = hundredths digit
- y = tens digit
- z = ones digit
We can write:
- x = z + 1 (the hundreds digit is one more than the ones digit).
- y = 2x (the tens digit is twice the hundreds digit).
- x + y + z = 11 (the sum of the digits is 11).
Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
- x + y + z = 11
- (z + 1) + y + z = 11 (remember x = z + 1)
- z + 1 + y + z = 11
- z + z +y + 1 = 11 (we just ordered the equation)
- 2z + y + 1 = 11 (z + z = 2z)
- 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
- 2z + y = 10
- 2z + (2x) = 10 (remember y = 2x)
- 2z + 2x = 10
- 2z + 2(z + 1) = 10 (x = z + 1 again)
- 2z + 2z + 2 = 10
- 4z + 2 = 10
- 4z = 10 - 2
- 4z = 8
- z = 8/4
- <u>z = 2</u>
Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
- x = z + 1
- x = 2 + 1
- <u>x = 3</u>
And we'll use the second equation to obtain the value of y (the tens digit):
- y = 2x
- y = 2(3)
- <u>y = 6</u>
Organizing the digits, we obtain the number:
- Number = xyz
- <u>Number = 362</u>
As you can see, <em><u>the obtained number is 362</u></em>.
Initial investment was when x=0, when no change had occured
c(0)=7(0)^2-6(0)+5
c(0)=5
this is in thousands
5*1000=5000
answer is $5000 is initial
aww,thank you ^^
i hope you're having a good day as well
Answer:
Either x=18 or x=8
Step-by-step explanation:
To find the answer to this quadratic equation, we will follow the steps below:
X² -26x +195=51
Subtract 51 from both-side of the equation
X² -26x +195-51 =51 - 51
X² -26x +144 = 0
comparing the above with the standard equation
ax² + bx + c=0
a = 1 b = -26 c= 144
Using the quadratic formula
x = -b ± √b² - 4ac /2a
x = -(-26) ± √(-26)² - 4(1)(144) /2(1)
x = 26 ± √676 - 576 /2
x = 26 ± √100 /2
x = 26 ± 10 /2
Either x= 26+10 /2 or x =26-10 /2
Either x =36/2 or x=16/2
Either x=18 or x=8
