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>.
Let n = the newsstand price. Then 0.30n = $29.99, and n = $99.97 for 12 issues. Dividing by 12: $99.97/0.30. The single-issue price at the newsstand is $8.33.
Step-by-step explanation:
I take it this is meant to be a multiplication, right ?
not a "function of function", which would be symbolized by a little empty circle.
to multiply 2 function means basically the same as to add, subtract or divide 2 functions : to apply the arithmetic operation in both expressions.
(f×g)(x) = (-2x² + 4x)(x² + 18x + 77) =
= -2x⁴ - 36x³ - 154x² + 4x³ + 72x² + 308x =
= -2x⁴ - 32x³ - 82x² + 308x
Answer:
1/5
Explanation:
For every two minutes, 10 items get sold. 2/10 is equivalent to 1/5
Answer:
x=3
y=-1
Step-by-step explanation:
x=4+y
by substitution it in equation 1
weget
(4+y)+y=2
4+2y=2
y=-1
x=3
