We know that
The Standard Form<span> of a </span>Quadratic Equation<span> is
</span> ax²<span> + bx + c = 0
</span>
then
for x=0 y=-6
a*0² + b*0 + c = -6---------> c=-6
for x=1 y=2
a*1² + b*1 -6 = 2---------> a+b=8---------> a=8-b---------> equation 1
for x=3 y=-0
a*3² + b*3 -6 = 0---------> 9a+3b=6---------> equation 2
<span>substituting 1 in 2
9*(8-b)+3b=6------> 72-9b+3b=6---------> 6b=66--------> b=11
a=8-11-------> a=-3
so
a=-3
b=11
c=-6
</span>Standard Form of a Quadratic Equation is
-3x² + 11x - 6 = 0
<span>
the answer is
</span> -3x² + 11x - 6 = 0<span>
</span>
<h3>
Answer:</h3>
The reasoning is correct. The ratio of number of bulbs tested to defective bulbs is always 14 to 1.
<h3>
Step-by-step explanation:</h3>
We generally expect industrial processes to produce defects at about the same rate, meaning the proportion of defective product is generally considered to be a constant. Here, the proportion of defective bulbs is ...
... 1/14 = 2/28 = 6/84
so we expect it will be also 24/336. That is, the ratio of the number of bulbs tested to defective bulbs is expected to remain constant at about 14.
x^2+6x+8 factored is (x+4)(x+2)
Answer: 36.66min
Step-by-step explanation:
y = 47.38 + 0.617x
where y is the number of dollars
x is the number of minutes on the job
Given a value of y = $70, then
We substitute y = $70 in the equation.
70 = 47.38 + 0.617x
22.62 = 0.617x
X = 22.62/0.617 = 36.66min
Answer:
1) B) 123 years
2) B) 51 years
Step-by-step explanation:
1)given information
2) 2011-1960=51
