Answer:
x= -6
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
4(5x+2)=14x+32
20x+8 = 14x+32
20x-14x+8=14x-14x +32 (Both side +14x)
6x+8=32 (cancel 14x -14x)
6x+8-8=32 -8(both side -8)
6x=24 (both side divide 6)
6x/6=24/6
x=4
Answer:
3 seconds
Step-by-step explanation:
We have to give us the following function h (t) = - 16 * t ^ 2 + 48 * t + 3
Now, they tell us that the height is 3 feet, therefore replacing that value we have left:
3 = -16 * t ^ 2 + 48 * t + 3, operating cancels 3. And it would be:
-16 * t ^ 2 + 48 * t = 0
Removing common factor -16 * t, it would be:
(-16 * t) * (t - 3) = 0
We have two solutions:
-16 * t = 0 ---> t = 0
t - 3 = 0 ---> t = 3
Because the time cannot be 0 seconds, the time it would take the ball in the air is 3 seconds.
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Answer: 4x² + 4xy - 3y²
Concept:
When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:
- <u>First</u>, which means multiplying the first terms together;
- <u>Outer</u>, which means that we multiply the outermost terms when the binomials are placed side by side;
- <u>Inner</u>, which means multiply the innermost terms together;
- <u>Last</u>, which means that we multiply the last term in each binomial together.
Solve:
<u>Given</u>
(2x - y) (2x + 3y)
<u>Expand parentheses and apply the FOIL method</u>
=4x² + 6xy - 2xy - 3y²
<u>Combine like terms</u>
=4x² + (6xy - 2xy) - 3y²
=
Hope this helps!! :)
Please let me know if you have any questions