In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.
Answer:
840
Step-by-step explanation:
Answer:
{x+y=36
0.1x+0.25y=5.4
Step-by-step explanation:
just took the test sorry for being late
Answer:
The answer to your question is the letter E. 50
Step-by-step explanation:
Data
height = ?
Width = 80 cm
Length = 40 cm
Volume = 160000 cm³
Formula
Volume of a rectangular prism = Width x length x height
Substitution
160000 = 80 x 40 x height
Solve for height
height = 160000 / 80 x 40
Simplification
height = 160000/ 3200
Result
height = 50 cm
Answer:

is the required polynomial with degree 3 and p ( 7 ) = 0
Step-by-step explanation:
Given:
p ( 7 ) = 0
To Find:
p ( x ) = ?
Solution:
Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.
Therefore zero's of the polynomial is seven i.e 7
Degree : Highest raise to power in the polynomial is the degree of the polynomial
We have the identity,

Take a = x
b = 7
Substitute in the identity we get

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.
p ( 7 ) = 7³ - 21×7² + 147×7 - 7³
p ( 7 ) = 0
