Factor 20x2 + 25x - 12x - 15 by grouping.
Answers
(4x + 5)(5x - 3).
step-by-step explanation:
20x^2 + 25x - 12x - 15 by grouping:
Start with the expression:
20x^2 + 25x - 12x - 15.
Group the terms in pairs, like this:
(20x^2 + 25x) - (12x + 15).
Now, look for the greatest common factor (GCF) in each group:
In the first group
(20x^2 + 25x), the GCF is 5x because both terms are divisible by 5x.
So, factor out 5x: 5x(4x + 5).
In the second group (12x + 15), the GCF is 3 because both terms are divisible by 3.
So, factor out 3: 3(4x + 5).
Now, your expression looks like this:
5x(4x + 5) - 3(4x + 5).
Notice that both groups have the common factor (4x + 5).
Factor this out: (4x + 5)(5x - 3).
So, the factored form of 20x^2 + 25x - 12x - 15 is (4x + 5)(5x - 3)
Related Questions
Assume that a student attends a four-year college with tuition costs of $20,000 per year, room and board costs of $5,000 per year, and books/entertainment costs of $1,000 per year. If the student did not go to college, she would work at a job that pays $25,000 per year but still face the same room and board and entertainment expenses. The opportunity cost of attending college for this student for four years is:
A small toy car costs $3 a large toy car costs 5 times as much as the small one Aaron want to buy 1 of each which equation can be used to find the cost a of the 2 cars
What is the cost per unit
Bethany has $3.10 in nickels and dimes. She has a total of 44 coins. What is the value of the nickels Bethany has?$0.90 $1.30 $1.80 $2.60
the area of the rectangle.Simplify the expression.
Answers
Given:
The length of a rectangle is 5 centimeters less than 2 times the width.
To find:
The polynomial expression that represents the area of the rectangle, then simplify the expression.
Solution:
Let be the width of the rectangle.
The length of a rectangle is 5 centimeters less than 2 times the width.
2 times the width =
5 centimeters less than 2 times the width =
Length of the rectangle =
We know that, the area of a rectangle is:
Therefore, the required polynomial expression is and its simplified form is
.
Answers
Answer:
The current is 5.64 Ampere when resistance is 768 ohms .
Step-by-step explanation:
As given
The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.
Thus
Where k is the constant of proportionality .
The current is 6 amperes when the resistance is 722 ohms.
I = 6 amperes
R = 722 ohms
Put all the values in the formula
k = 6 × 722
k = 4332
As given
when the resistance is 768 ohms .
R = 768 ohms
K = 4332
Put in the formula .
I = 5.64 Ampere
Therefore the current is 5.64 Ampere when resistance is 768 ohms .
V=RI where V is the tension in volts;
You have that V=722×6=4332 Volts
Using this value for V you have that:
4332=768×I
So I=5.64 A
Pretty sure A and B are "Given" but not 100%.
Answers
3
4
ó
7
8
9
10
The scale drawing of a swimming pool measures 2 inches by 3 inches on the drawing 25 inches = 3 feet. What are the actual
dimensions of the pool?
18 feet x 24 feet
24 feet x 36 fees
30 feet x 40 feet
Submit
Answers
Answer:
The answer is 24 feet x 36 feet
Answers
Answer:
work is shown and pictured
V=(1/3)pi r^2 h
Answers
3V = pi r^2 h
3V/pi = r^2 h
3V/h*pi = r^2
r = sqrt (3V/h*pi)