Mai is using the quadratic formula to solve two different quadratic equations.For the first equation, she writes x=\frac{=-4\pm \sqrt{4^{2}-4(4)(2)}}{2(4)}For the second equation, she writes x=\frac{=3\pm \sqrt{(-3)^{2}-4(3)(5)}}{2(3)}How many real solutions will each equation have? Explain how you know.

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S.IC.3

S.IC.1

S.IC.6

Here are graphs of two functions f and g.Which statements are true about the graph of y=h(x) where h given by h(x)=f(x)-g(x)? Select all that apply.

• {"blocks":[{"key":"4ag8t","text":"There is an x-intercept between x=1 and x=2","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":12,"length":1,"style":"BOLD"},{"offset":12,"length":1,"style":"ITALIC"}],"entityRanges":[{"offset":31,"length":4,"key":0},{"offset":40,"length":3,"key":1}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}},"1":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"6s1bc","text":"There is an x-intercept between x=2 and x=3","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":12,"length":1,"style":"BOLD"},{"offset":12,"length":1,"style":"ITALIC"}],"entityRanges":[{"offset":32,"length":4,"key":0},{"offset":40,"length":3,"key":1}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}},"1":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"9ch6m","text":"The y-intercept is positive","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":4,"length":1,"style":"BOLD"},{"offset":4,"length":1,"style":"ITALIC"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"12ejs","text":"The y values are positive values when 0
  {"blocks":[{"key":"521b4","text":"The y values are negative values when 2

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  S.IC.3

  S.IC.1

  S.IC.6