Start with the second expression. That factors easily into (8x-3)(8x+3).
Since 64x^2 + 48x + 9 has no negative signs, I'd bet that the common factor is (8x+3). Divide <span>64x^2 + 48x + 9 by that to verify.
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Answer:
5 ≤ h<7
Step-by-step explanation:
the rider has to be more than at least 5 feet tall, so h is greater than or equal to 5 (5 ≤ h), but they have to be less than 7 feet tall (h<7) so, therefore, we get 5 ≤ h<7
Answer:
Step-by-step explanation:
Simplifying
1.4x + 3.5y = 0
Solving
1.4x + 3.5y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3.5y' to each side of the equation.
1.4x + 3.5y + -3.5y = 0 + -3.5y
Combine like terms: 3.5y + -3.5y = 0.0
1.4x + 0.0 = 0 + -3.5y
1.4x = 0 + -3.5y
Remove the zero:
1.4x = -3.5y
Divide each side by '1.4'.
x = -2.5y
Simplifying
x = -2.5y
Answer:
36 and 216
Step-by-step explanation:
Let x and y be LCM and GCF respectively.
We are told that the sum and the difference between the LCM and GCF of two numbers is 252 and 180.
Upon using our information we will get a system of equations.


We will use substitution to solve this system of equations.




Now let us find x using equation 1,

Therefore, LCM is 216 and GCF is 36.
Let a and b our numbers. Now let us find numbers using this information.
We are given that one of them is more than twice the other.
There can be several such numbers. 36 and 216 can also be numbers. Let us check these numbers.
LCM of 36 and 216 is 216 and GCF is 36 and it satisfies our condition that
because 216 is more than twice 36.
Therefore, our numbers will be 36 and 216.