Answer:
Step-by-step explanation:
Given the function: 
f(x) =number of days it would take to complete the project
x =number of full-time workers.
The domain of a function is the complete set of possible values of the independent variable.
In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.
Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).
Answer:
1199
Step-by-step explanation:
There are 22 terms in the sum:
23 + 26 + 29 + ... + 80 + 83 + 86 =
= (23 + 86) + (26 + 83) + ... + (53 + 56)
= 109 + 109 + ... + 109
= 11(109)
= 1199
Subsitute -4y for x
-4y+6y=18
2y=18
divide both sides by 2
y=9
sub back
x=-4y
x=-4(9)
x=-36
(x,y)
(9,-36)
Answer:
Step-by-step explanation:
Since there exists a scalar
λ
λ
(namely
λ=a⋅b
λ=a⋅b
) such that
b=λa
b=λa
, the directions of the two vertices are the same (they are collinear). This implies that
|a⋅b|=|a||b|
|a⋅b|=|a||b|
.
So,
|a|=|(a⋅b)b|=|a||b||b|
|a|=|(a⋅b)b|=|a||b||b|
which implies that
|b|=1
|b|=1
Answer:
12)
(9y +7)=(2y +98)( Because vertically opposite angle is always equal)
9y - 2y = 98-7
9y - 2y = 98-7
7y= 91
y =13
<em>ther</em><em>fore</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em>
<em>(</em><em>9</em><em>y</em><em> </em><em>+</em><em> </em><em>7</em><em>)</em>
9*13+7
117+7
124
(2y +98)
2*13+98
26+98
124
