Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
Hi there
The formula you meant
V (t)=27500 (0.84)^t
V (10)=27,500×(0.84)^(10)
V (10)=4,809.8 Round your answer to get 4810 ...this isthe value after
10 years
the initial value of the car is
27500
Hope it helps
Answer: a = 3
Step-by-step explanation: when you multiply 6 by -3 you get -18 and if you add 16 you get -2
so the slope is -3 and the y-intercept is 16
so a*-3 + 16 = 7
by subtracting 16 on both sides you get
-3a = -9
and to get a by itself you divide -3 on both sides
a = -9/-3
a= 9/3
a = 3
The simplification of 25p^6q^9 / 45p^8q^4 using a positive exponent;
- Division is 5p^6 q^9 / 9p^8 q^4
- Elevated form is 5/9 p^-2 q^5
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions made up of factors, variables, terms, coefficients and constants.
They are also comprised of arithmetic operations such as addition, subtraction, multiplication, division, etc
We also know that index forms are also know as standard forms.
They are mathematical expressions showing the power of exponent of a variable in terms of another variable.
Given the index algebraic forms;
25p^6q^9 / 45p^8q^4
Using the rule of indices, we take the negative exponent of the divisor and multiply through.
We have;
5p^6 q^9 × 9p^-8 q^-4
Add exponential values
5/9 p^6-8 q^9 -4
5/9 p^-2 q^5
Thus, the expression is simplified to 5/9 p^-2 q^5
Learn more about index forms here:
brainly.com/question/15361818
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Answer:
135/1000
27/200
Step-by-step explanation:
