Answer:
b=19
Step-by-step explanation:
2x(3x+5)+3(3x+5)=ax2 +bx+c
by expansion,
6x2 +10x +9x+15=6x2 +19x +15
Answer: 5
Step-by-step explanation: There are 2.5 cm per in, so its just 2.5*2
Answer:
The gardeners should buy 45 white hydrangeas and 104 pink hydrangeas.
Step-by-step explanation:
Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.
So, x + y = 41 {Given} ........... (1)
Again, for another flower bed they want to plant 108 hydrangeas, where the number of white ones is 2 times that of Middleton Place Gardens and the number of pink ones is 3 times that of Middleton Place Gardens.
So, 2x + 3y = 108 ........ (2)
Now, solving equations (1) and (2) we get,
3y - 2y = 108 - 82 = 26
⇒ y = 26
And from equation (1) we get,
x = 41 - 26 = 15.
So, the total number of white hydrangeas the gardeners have to buy is (x + 2x) = 3x = 3 × 15 = 45.
And the total number of pink hydrangeas the gardeners have to buy is (y + 3y) = 4y = 4 × 26 = 104. (Answer)
Multiplication because you are going to multiply the recipe by 2 to double it.
When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.
We need to divide each term by the GCF to get the expression inside the parenthesis.

Conclusion:
From above we can conclude that the below expressions are factored completely
