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>.
The slope is D. -3
Why: The slope is what is connected to the x ( the variable ) or the thing that is increasing. The 8 is the initial value which is where the line would start on the y intercept on a graph. There for the -3 in the equation y = -3x+8 is the slope. Think, which is connected to the x or whatever letter is shown.
To start solving you need to have the decimals underneath it each other like this
4.2874 (U add a zero if there is no number for that area)
1.2860
_____
5.5743 is the right answer :)
Answer:
79
Step-by-step explanation:
So we have the function:
To find g(9), substitute 9 for t. Thus:
Square:
Subtract:
So, our answer is 79.
And we're done!
Answer:
y = 2x - 3
Step-by-step explanation:
Given:
(3, 3) and (4, 5)
Solve:
Find the slope (m) between the two points:
m = (y2 - y1)/(y2 - 1)
(x1, y1) = (3, 3)
(x2, y2) = (4, 5)
m = (5 - 3)/(4 - 3)
= 2/1
m = 2
Slope-intercept form (y = mx + a):
y = 2x + a
To find a, plug in one of the points into the equation:
3 = 2(3) + a
3 = 6 + a
3 - 6 = a
a = -3
y = 2x - 3