Answer:
a=4 and b = 0
Step-by-step explanation:
Given : 
To find, The value of a and b
Solution,
Solving LHS of the given equation,
Since,
So,
or
On comparing we get :
a = 4 and b = 0
-2.5 and 4
You can get this by factoring to the equation (2x + 5)(x - 4)
9514 1404 393
Answer:
The pool is being filled
Step-by-step explanation:
The function definition tells you ...
f(5) = the volume of water in the pool 5 minutes after they start
f(10) = the volume of water in the pool 10 minutes after they start
So, the inequality ...
f(5) < f(10)
means the volume of water in the pool 10 minutes after they start is greater than it is 5 minutes after they start. In short, <em>they are filling the pool</em>.
Answer:
(5,354 + x)
or
536.4*x
Step-by-step explanation:
We know that x = 10.
Now we want to write an expression (in terms of x) for the number 5,364.
This could be really trivial, remember that x = 10.
Then: (x - 10) = 0
And if we add zero to a number, the result is the same number, then if we add this to 5,364 the number does not change.
5,364 = 5,364 + (x - 10) = 5,364 + x - 10
5,364 = 5,354 + x
So (5,354 + x) is a expression for the number 5,364 in terms of x.
Of course, this is a really simple example, we could do a more complex case if we know that:
x/10 = 1
And the product between any real number and 1 is the same number.
Then:
(5,364)*(x/10) = 5,364
(5,364/10)*x = 5,364
536.4*x = 5,364
So we just found another expression for the number 5,364 in terms of x.
Answer:
your answer is correct
Step-by-step explanation:
4b² + 8b + 3
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 3 = 12 and sum = + 8
The factors are 2 and 6
Use these factors to split the b- term
4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )
= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term
= (2b + 1)(2b + 3)
