Answer:
After factorizing the given expression we get the value as
.
Step-by-step explanation:
Given:

We need to factorize the given expression using GCF.
Solution:

Now GCF means Greatest common factor.
From the given 2 numbers we need to find the greatest common factor.

In the given expression GCF is 'x'.
Hence we can say that;

Hence After factorizing the given expression we get the value as
.
Answer:
16
Step-by-step explanation:
First you want to plug in all the numbers where the letters are
h ( j + i )- k(5) + h
3 ( 2 + 4 )- 1(5) + 3
After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.
6 + 12 - 1(5) + 3
Then you just follow PEMDAS to solve for the rest
6 + 12 - 5 + 3
18 - 5 + 3
13 + 3
16
Answer:
y = (x - 10)^2 / 100 + 1
Step-by-step explanation:
given:
A suspension footbridge has two 2-meter vertical supports 20 meters apart so the cable connecting 'em will be a convex parabola
The lowest point of the cable, which is the vertex, 1 meter above the path.
y-axis represents the left support and the other vertical support is at x=20
by symmetry, the vertex is mid-pt between the two supports, @ x=20/2=10
so vertex is at (10,1)
vertex form of parabola is y = a(x - h)^2 + k, where (h, k) is the vertex
so y = a(x-10)^2 + 1
at y-axis, x=0, y=2
2 = a(0-10)^2 + 1
2 - 1 = 100a
a = 1/100
so the eqn is y = (x - 10)^2 / 100 + 1
Answer:
a) Qualitative
b) Qualitative
c) Quantitative
d) Quantitative
Step-by-step explanation:
A variable is quantitative if it assumes numerical values, for example 1,2,3.
If it assumes "labels", for example good or bad, it is qualitative.
(a) The occupation of your neighbors. Answer:
Labels. Teacher, trainer, athlete, ...
So it is qualitative
(b) The martial status of your coworkers. Answer:
Labels: Married, single,..
So it is qualitative
(c) Your college GPA. Answer:
Numeric, 2,3,...
So it is quantitative
(d) The amount of bacteria on a piece of moldy bread
Numeric, 0.5mm, etc
So it is quantitative