Answer:
<em>The value of the expression is 11</em>
Step-by-step explanation:
<u>Evaluate Expressions</u>
An algebraic expression consists of a set of variables and constants related by algebraic operations like addition, subtraction, multiplication, etc.
To evaluate an algebraic expression, we replace the variables for the constant value they are assigned.
Let's consider the expression:

for x=10, y=-1, z=0
Substituting the variables for their values:



The value of the expression is 11
14n+ 4 = 2( 7n + 2 ) ; the factors are 2 and ( 7n + 2 ) ;
Answer:
a = - 5, a = - 3
Step-by-step explanation:
Given
a² + 8a + 15 = 0 ← in standard form
(a + 3)(a + 5) = 0 ← in factored form
Equate each factor to zero and solve for a
a + 3 = 0 ⇒ a = - 3
a + 5 = 0 ⇒ a = - 5
Part A. Yes, because y=f(x)=x⁵.
Part B. f(4)=2(4)+12=8+12=20.
Answer:
John need to remove <u>4760 cubic feet</u> of dirt.
Step-by-step explanation:
Given:
John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide.
Now, to find the cubic feet of dirt John need to remove.
Length = 28 feet.
Width = 5 feet.
Height = 34 feet.
<u><em>As the swimming pool is in the shape of a rectangular prism.</em></u>
So, we put formula of volume to get the cubic feet of dirt need to remove:



Therefore, John need to remove 4760 cubic feet of dirt.