The simplification of rational expression (x²+6x-7)/(x²+9x+14) gives
(x-1)/(x+2).
<h3>What is factorisation?</h3>
A polynomial or integer is simply resolved into components that, when multiplied together, produce the original or starting polynomial or integer.
- The factorization method allows us to simplify any algebraic and quadratic equation by representing the equations as that of the product or factors rather than by expanding the brackets.
- Any equation can have an integer, a variable, or the algebraic expression itself as a factor.
The given expression is -
= (x²+6x-7)/(x²+9x+14)
Factorising both numerator and denominator;
= {x+7x-x-7} / {x+7x+2x+14}
= {x(x+7)-(x+7)} / {x(x+7)+2(x+7)}
= {(x+7)(x-1)} / {(x+7)(x+2)}
Cancel the (x+7),
= (x-1)/(x+2)
Therefore, the simplification of the given equation is (x-1)/(x+2).
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You distribute 8.
So 8 * h = 8h
8 * 1.5 = 12
So your answer is 8h + 12
Answer:
Translation of 3 units to the left.
Vertical stretch by a factor of 2.
Translation of 5 units down.
Step-by-step explanation:
<u>Transformations</u>
For a > 0
<u>Parent function</u>:
<u>Translate 3 units left</u>
Add 3 to the variable of the function
<u>Stretch vertically by a factor of 2</u>
Multiply the whole function by 2:
<u>Translate 5 units down</u>
Subtract 5 from the whole function:
Please see the attached graphs for the final transformed function (as well as the graphed steps).
Answer: The scale of the map in its simplest form is 1:200,000
Step-by-step explanation: From the question,
The distance between the two towns is 10km which is a distance of 5cm on the map.
This means, 5cm represents 10km. Now we will determine what 1cm represents.
If 5cm represents 10km
Then 1cm will represent (10÷5) km
Hence, 1 cm will represent 2km
Now, convert 2km to cm
2km = 2000m = 200,000cm
Hence, 1cm represents 200,000cm
This means on the map 1cm represents 200,000cm.
The scale of the map is therefore
1:200,000
<h3>
Answer: -79</h3>
Explanation:
He bought 54 dollars in groceries and then pulled out another 25 dollars. Overall, 54+25 = 79 dollars was taken out of his account.
Because the account value has gone down by this much, it means we'll write -79 to indicate the total change in his account balance.
