Answer:
(5x-1)(6x^2+1)
Solution:
6x^2(5x-1)+5x-1
=30x^3-6x^2+5x-1
=(30x^3-6x^2) + (5x-1)
=6x^2(5x-1)+(5x-1)
=(5x-1)(6x^2+1)
HOPE THIS HELPS!
Answer:
The measure of angle E is 45 degrees
Step-by-step explanation:
To get the measure if angle E, we use the appropriate trigonometric ratio
From the question, EF is the hypotenuse since it faces the right angle
EG is adjacent to angle E
so we are going to use the trigonometric ratio that connects adjacent to the hypotenuse
This trigonometric ratio is the cosine
It is the ratio of the adjacent to the hypotenuse
Thus,
we have it that;
Cos E = EG/EF
cos E = 6√26/12√13
E = arc Cos ( 6 √26/12 √13)
E = 45 degrees
Answer:
The savings of Sid and Tim will be in 17:9 in 6 weeks.
Step-by-step explanation:
Initial savings of Sid = £ 13
Initial savings of Tim = £ 0
For each successive week Sid saved = £ 3.5
For each successive week Tim saved = £ 3
Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.
If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)
If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x
The ratio of their savings in x weeks would be 17:9
So,
Sid's saving : Tim's saving = 17 : 9
Using the values of expressions, we get:

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.
Answer:
$4500
Step-by-step explanation:
Given parameters:
Down payment = $1500
Monthly payment for twelve months =$250
Unknown;
Total hire purchase price = ?
Solution:
To find the total hire purchase price;
Total hire purchase price = Down payment + 12($250)
Total hire purchase price = $1500 + $3000
Total hire purchase price = $4500
you're given the pythagorean theorem, which is a^2 + b^2 = c^2.
what you're trying to find is ?, which is the number under the radical.
let's pretend one leg is a and the other is b.
a = 9
b = 10
so let's plug it into the equation. we get 9^2 + 10^2 = c^2
so that equals 81 + 100 = c^2
181 = c^2
so c will equal the square root of 181. therefore, ? = 181.
hope i helped! good luck.