The expression that would go with this is 1x - 4
Answer:
5 cm
Step-by-step explanation:
the perimeter of a square with sides of 9 cm is 36 cm so the rectangle must have the same perimeter
if the length of the rectangle is 13cm, its opposite side is also 13cm
add 13 + 13 to get 26
let 'n' = width of rectangle
perimeter = 26 + n + n
36 = 26 + 2n
2n = 10
n = 5
The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
<h3>How to factor the expression?</h3>
The expression is given as:
f(x) = 6x³ - 13x² - 4x + 15
Expand the expression
f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15
Rewrite as:
f(x) = 6x³ + 6x² + 15x- 19x² - 19x + 15
Factorize the equation
f(x) = (x + 1)(6x²- 19x + 15)
Expand (6x² - 19x + 15)
f(x) = (x + 1)(6x² - 10x - 9x + 15)
Factorize the expression
f(x) = (x + 1)(2x - 3)(3x - 5)
Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
Read more about factorized expression at:
brainly.com/question/7438300
we conclude that when we evaluate in x = 7, the given expression is equal to 12.
<h3>
</h3><h3>
How to evaluate the expression?</h3>
Here we have the expression:
6*(x - 5)
Which represents the product of 6 and the sum between x and negative 5.
We want to evaluate it in x = 7, that means just replacing the variable in the given expression by the number 7, and then solving the expression.
Let's do that:
6*(7 - 5) = 6*(2) = 12
In this way, we conclude that when we evaluate in x = 7, the given expression is equal to 12.
If you want to learn more about evaluating:
brainly.com/question/4344214
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Answer:
Solution set= {(3,-9)}
Step-by-step explanation:
x² +6x-27=0
x² +9x-3x-27=0
x(x+9) -3(x+9)=0
(x-3)(x+9)=0
x-3=0; x+9=0
x=3; x=-9
