twice the sum of a number and 3, means you need to add the number to 3 first, then multiply by 2.
The correct expression would be 2(n+3)
Answer:
All 4 of them
Step-by-step explanation:
Tell me if I'm wrong
Answer:
There is no solution to the problem
Step-by-step explanation:
In order to find the solutions to the problem you can write the situation in an algebraic form.
You have that a number is equal to twice a smaller number plus 3. This can be written as follow:
(1)
where x is the number and y is the smaller number
Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:
(2)
To find the solution you equal the equation (1) with (2), and you solve for y:


You obtain an inconsistency, hence, the situation of the problem does not have solution
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
Answer:
It is an identity, proved below.
Step-by-step explanation:
I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.
First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

Another identity is:

Therefore:

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

Another identity:

Therefore:

Hence proved, this is proof by using identity helping to find the specific identity.