Answer:
When a number is divided by 5 and the result is 247 with a remainder, one possible dividend is 1236.
The quotient of a number is the number that is gotten when a number is divided by another number. For example, the quotient of 10 and 2 is 5.
An unknown number was divided by 5 and the result was 247 with a remainder. In order to determine the number the first step is to determine the product of 247 and 5.
247 x 5 = 1235
Since the number has a remainder, the number cannot be exactly 1235. The number would lie between 1235 and 1240. The numbers can be 1236, 1237, 1238 and 1239.
For 18 x 8.7 = 156.6
For 23 x 56.1 = 1290.3
For 47 x 5.92 = 278.24
but i don't know how to explain the steps, just the answers.
but hope i helped.
Answer:
This is easy -- it's just a list of steps. At this level, the problems are pretty simple.
Let's just do one, then I'll write out the list of steps for you.
Find the inverse of f( x ) = -( 1 / 3 )x + 1
STEP 1: Stick a "y" in for the "f(x)" guy:
y = -( 1 / 3 )x + 1
STEP 2: Switch the x and y
( because every (x, y) has a (y, x) partner! ):
x = -( 1 / 3 )y + 1
STEP 3: Solve for y:
x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3
STEP 4: Stick in the inverse notation, f^( -1 )( x )
f^( -1 )( x ) = -3x + 3
Step-by-step explanation:
Answer:
f(x) = (x - 7)² - 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Vertex Form: f(x) = a(bx - c)² + d
- Completing the Square: (b/2)²
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 14x + 63
<u>Step 2: Rewrite</u>
- Separate: f(x) = (x² - 14x) + 63
- Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49
- Simplify: f(x) = (x - 7)² - 14