Answer:
The value is -3
Step-by-step explanation:
Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.
To get this done with, we will need to factorize the expression on the left hand side of the equation.
Thus, we can write;
-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)
What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.
Thus, we can finally write ;
-27x^2 + 9x + 12 as -3(9x^2 -3x -4)
This exactly gives the expression on the right hand side
Thus the value to place in the blank is -3
Answer: 1902.36
Step-by-step explanation:
When interest is compounded monthly , the formula to find the accumulated amount is
, where P = principal value , r = rate of interest , t = time.
As per given,
r= 24% = 0.24
P= $1500
t= 1 year
Put all value in formula , we get
Hence, he need to pay $1902.36.
Discount;
66 * 0.4 = 26.40
66 - 26.4 = 39.60
Tax;
66 * 0.05 = 3.30
Total Price:
39.60 + 3.30 = 42.90
$42.90
Answer:
39 ft
Step-by-step explanation:
40 feet would have been if the perimeter was 160ft. so since it has to be less than 160 the maximum (whole number) length of a side would be 39.
Answer:
7k
Step-by-step explanation:
The given expression is
We need to find the simplified form of the given expression.
Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.
The given expression can be rewritten as
On combining like terms we get
Therefore, the equivalent expression of the given expression is 7k.
