Notice all the important features of the graph,
1) The graph is a parabola;
2) Roots are -2, -1
3) A point is (-3, 2)
Put all this information into an equation;
y=a(x-r)(x-s)
y=a(x+1)(x+2) <-- signs revered due to the negative sign
2=a(-3+1)(-3+2) <-- put in the values of x and y to find a
2=a(-2)(-1)
2=a(2)
2/2=a
1=a
y=(x+2)(x+1) <-- find in standard form by expanding
y= x²+x+2x+2
y=x²+3x+2
Therefore, the correct option is the second one;
Hope I helped :)
Answer:
The answer is 166/21, or 7 19/21
Step-by-step explanation:
First, you would set up the equation, which is:
13 1/7 - 5 5/21
Next, you would turn them into an improper fraction, which is:
92/7 - 110/21
Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:
276/21 - 110/21
Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.
Answer:
1/6
1/14
5/64
3/8
Step-by-step explanation:
Easiest and fastest way to evaluate these is to plug it into a calc.
70/x=100/120
(70/x)*x=(100/120)*x - we multiply both sides of the equation by x
70=0.833333333333*x - we divide both sides of the equation by (0.833333333333) to get x
70/0.833333333333=x
84=x
x=84
now we have:
<span>120% of 70=84</span>
The period of the function can be calculated using <span><span><span>2π</span><span>|b|</span></span><span><span>2π</span><span>|b|</span></span></span>.Period: <span><span><span>2π</span><span>|b|</span></span><span><span>2π</span><span>|b|</span></span></span>Replace <span>bb</span> with <span>11</span> in the formula for period.Period: <span><span><span>2π</span><span>|1|</span></span></span>