A quadratic equation is an equation whose leading coefficient is of second degree. The time can not be negative, therefore, the time in which the athlete complete the jump is 0.75 seconds.
<h3>What is a quadratic equation?</h3>
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The jump is represented by the equation h(x)= -16x²+4x+6. The time is represented by x, now the height of the athlete will be zero when the jump will be completed therefore, we can write,
0 = - 16x² + 4x + 6
0 = - 16x² + 12x - 8x + 6
0 = -4x(4x-3) -2(4x-3)
0 = (-4x-2)(4x-3)
x = -0.50, 0.75
Since the time can not be negative, therefore, the time in which the athlete complete the jump is 0.75 seconds.
Learn more about Quadratic Equations:
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The dimension of the rectangle will be 3 inches and 8 inches. Then the correct option is B.
<h3>What is a rectangle?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. Each angle is 90 degrees.
A rectangle has a perimeter of 22 inches and an area of 24 square Inches.
The area will be
Area = 24
L × W = 24 ...1
Perimeter = 22
2(L + W) = 22
L + W = 11 ...2
The number 3 and 8 satisfies both the equations 1 and 2.
Then the dimension of the rectangle will be 3 inches and 8 inches.
Then the correct option is B.
More about the rectangle link is given below.
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Solve for p by simplifying both sides of the equation, then isolating the variable.
p= - 7/3
Answer:
change the expression to y
Step-by-step explanation:
the gradient is the coefficient of x,