Answer:
Yes. This equation defines y as function of x.
Step-by-step explanation:
Step 1:
Solve the equation for y (this puts the equations in terms of y)
2x+y=8 becomes
y = 2x - 8
This is a linear equation, which is a funtion.
*Another way to solve this is to look at the graph. Graphing this equation gives us a line. Use the vertical line test to see if it's a function.
To pass the vertical line test (VLT), there can only be one y value to each x value along the graph. If it passes the VLT, the equation is a function.
If it fails the VRT, the equation is not a function.
Answer:
V = 396 cm³
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the triangular face and h the height of prism )
A = 
bh ( b is base and h perpendicular height )
here b = 9, h = 8 , then
A = × 9 × 8 = 4.5 × 8 = 36 cm² , so
V = 36 × 11 = 396 cm³
Answer:
Step-by-step explanation:
Given that a certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.
The company can assign I employee to any one of 2 office i.e. in 2 ways
Similarly can assign II employee also in 2 ways and III in two ways.
Total no of ways = 2x2x2 = 8
There are 8 ways the company can assign 3 employees to 2 different offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office
Given :
Emilie rides her bike x miles before she gets a flat tire.
She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.
To Find :
Which expression shows how many miles Emilie travels in all.
Solution :
We know, total distance covered is given by sum of all the distance she travelled.
Distance covered, D = x + 1/3 + 2 1/2
D = x + 1/3 + 5/2
D = (6x + 2 + 15)/6
D = (6x + 17)/6
Therefore, total distance travelled by Emilie is (6x + 17)/6 .
Answer:
As a proper fraction - 39/51 = 13/17
As a decimal number: 39/51 ≈ 0.76
As a percentage: 39/51 ≈ 76.47%
Step-by-step explanation:
Calculate the greatest (highest) common factor (divisor), gcf (gcd).
13/17 =
13 ÷ 17 =
0.764705882353 ≈
0.76
By precentage
0.764705882353 =
0.764705882353 × 100/100 =
76.470588235294/100 =
76.470588235294% ≈
76.47%
