Answer:
(a) Expanded form:
(b) The value of the expression: -21
Step-by-step explanation:
Given
Solving (a): The expanded form:
This means that we substitute the values of i from 1 to 4 in the above expression.
So, the expression becomes:
Solving (b): The value of the expression
To do this, we simply substitute the given values of X1, X2....... in the expression.
This gives:
So, the expression becomes:
Simplify each bracket
<em>Hence, the result of the expression is -21</em>
F ( x ) = ( x + 7 ) ( x + 4 ) - ( x + 5 ) ( x + 2 ) =
= ( x² + 4 x + 7 x + 28 ) - ( x² + 2 x + 5 x + 10 ) =
= ( x² + 11 x + 28 ) - ( x² + 7 x + 10 ) =
= x² + 11 x + 28 - x² - 7 x - 10 = 4 x + 18
Answer:
The area of the shaded region is 4 x + 18.
<h2>1) B</h2>
<h2>2) C</h2>
<h2>3) A</h2>
<h3>do you need an explanation?</h3>
Answer:
L = 16
w = 10
Step-by-step explanation:
Givens
Area = 160 sqr inches
width = x
length = x + 6
Equation
Area = L * w
Solution
Substitute in the equation all of the givens.
160 = x(x + 6) Remove the brackets
160 = x^2 + 6x Subtract 160 from both sides.
160-160 = x^2 + 6x - 160
0 = x^2 + 6x - 160
This equation factors. Turn it around first
x^2 + 6x - 160 = 0
(x - 10)(x + 16) = 0
Answer
x (width) = 10
x + 16 = 16
Answer:
b
Step-by-step explanation:
