Answer: 2 <= X <= 5
Step-by-step explanation:
Answer: 2 <= X <= 5
Step-by-step explanation:
Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.
And no less than 2 days per week. That is, greater than or equal to 2 days.
Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2
An inequality to represent the range of days an employee can work will be
2 <= X <= 5
Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days
By first subtraction b and then dividing by m, the solution of the linear equation for x is:
(y - b)/m = x
<h3>How to solve the linear equation for x?</h3>
Here we have a linear equation that defines the variable y in terms of the variable x:
y = m*x + b
Where m and b are real numbers.
Now we want to find x in terms of the variable y, this means that we need to isolate the variable x.
if first we subtract b in both sides, we get:
y - b = m*x + b - b
y - b = m*x
If now we divide both sides by m, we get:
(y - b)/m = m*x/m
(y - b)/m = x
This is the linear equation solved for x.
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The answer is C. 10 because you only need 2 unit cubes to make a rectangular prism
Flori's Flower Shop have 48 <em>white</em> flowers, 40 <em>red</em> flowers, 30 <em>yellow</em> flowers and 15 <em>purple</em> flowers, whose sum equals 133 flowers, which is fewer than 150 flowers.
<h3>How to determine the quantity of flowers in a flower shop</h3>
Flori's Flower shop owns a quantity less than 150 flowers, in which there are four kinds of flowers according to color: (purple - <em>p</em>, yellow - <em>y</em>, red - <em>r</em>, white - <em>w</em>), each variable represents <em>positive</em> integers. Now we proceed to construct the system of equation that describes the situation:
z < 150 (1)
p + y + r + w = z (2)
p = y/2 (3)
y = 3 · r/4 (4)
r = 5 · w/6 (5)
By (1) and (3) in (2):
y/2 + y + r + w < 150
By (4):
3 · y/2 + r + w < 150
9 · r/8 + r + w < 150
17 · r/8 + w < 150
By (5):
85 · w/48 + w < 150
133 · w/48 < 150
133 · w < 7200
w < 54.135
Now we assume that <em>w =</em> 48, then we have the following solution for the flower shop: <em>r =</em> 40, <em>y =</em> 30, <em>p =</em> 15.
Flori's Flower Shop have 48 <em>white</em> flowers, 40 <em>red</em> flowers, 30 <em>yellow</em> flowers and 15 <em>purple</em> flowers, whose sum equals 133 flowers, which is fewer than 150 flowers. 
To learn more on inequalities, we kindly invite to check this verified question: brainly.com/question/20383699
Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.