Answer:
x = 1/4 ± 1/4√233
Step-by-step explanation:
(2x + 5)(x - 3) = 14
~Use FOIL on the left side
2x² - 6x + 5x - 15 = 14
~Combine like terms
2x² - x - 15 = 14
~Subtract 14 to both sides
2x² - x - 29 = 0
~Use the quadratic formula and simplify
x = 1/4 ± 1/4√233
Best of Luck!
4. 0.76
5. 0.18
8. 4.48
9. 0.08
12. 3.08
13. 0.45
:)
Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:

In the given equation, we have:

The b term here is 8. Therefore:

The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

The expression inside the parentheses is now a perfect square trinomial. Factor it:

And we are done!
Answer:
95 degrees
Step-by-step explanation:
The degrees of a pentagon adds up to 540 so just subtract the angles you have from that to get the answer
To answer, determine the amount of paint that is needed in order to cover the whole of the sign. If we use the ratio and proportion and letting x be the unknown amount. The equation would be,
1/2 / 1/3 = x / 1
The value of x from the equation is equal to 1.5. Thus, the answer is letter D. 3/2 cups.