The equation that fits the standard form of a Quadratic equation is 2(x + 5)² + 8x + 5 + 6 = 0 which can be re-written as 2x² + 28x + 61 = 0.
<h3>What is a Quadratic Equation?</h3>
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
From the given data, we check which of them fits the standard form of a quadratic equation.
- 2(x + 5)² + 8x + 5+ 6 = 0
2(x + 5)² + 8x + 5 + 6 = 0
2( (x(x+5) + 5(x+5) ) + 8x + 5 + 6 = 0
2( x² + 5x + 5x + 25 ) + 8x + 5 + 6 = 0
2( x² + 10x + 25 ) + 8x + 5 + 6 = 0
2x² + 20x + 50 + 8x + 5 + 6 = 0
2x² + 20x + 8x + 50 + 5 + 6 = 0
2x² + 28x + 61 = 0
Therefore, the equation that fits the standard form of a Quadratic equation is 2(x + 5)² + 8x + 5 + 6 = 0 which can be re-written as 2x² + 28x + 61 = 0.
Learn more about quadratic equations here: brainly.com/question/1863222
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Speed is inversely propportionalthe time.
Constant equal to 5.
Answer: (A) randomly selected elements within each of the strata form the sample.
Step-by-step explanation:
Stratified random sampling is a random sampling technique in statistics .
- It includes the partition of the entire population into sub-parts called strata.
- The strata are formed on the basis of the characteristics shared by members .
- After the formation of strata, researcher randomly selects participants from each strata to ensure that that the participant of every group must involve in the sample to represent each character.
Hence, the correct answer is :
(A) randomly selected elements within each of the strata form the sample.
Answer:
D
Step-by-step explanation:
Straight line (straight angle) is always 180 degrees.
The angle adjacent to 115 and 115 degree angle would sum up to 180 (straight line).
So, that angle would be:
180 - 115 = 65
Now, we know the triangle's 2 angles: 85 (given) and 65 (found), thus we can find the third angle (leftmost):
85 + 65 + third angle = 180 [sum of 3 angles in a triangle is 180]
150 + third angle = 180
third angle = 180 - 150
third angle = 30
This third angle is adjacent to w and forms a straight line, so we can write:
third angle + w = 180
30 + w = 180
w = 180 - 30
w = 150
Correct answer is D
