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finlep [7]
3 years ago
5

Use the discriminant to determine how many X intercepts the graph of the equation has

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
<span> The quadratic formula says that any quadratic equation of the form ax^2 + bx + c, then
x=(-b ± √(b^2 - 4ac))/2a, and so because of the square root, theres obviously going to be no x-intercepts if b^2 - 4ac is negative, one x-intercept if its zero, or two if its positive. So to calculate the discriminant, which is whether it has an intercept, no intercepts or two intercepts is:
∆=b^2 - 4ac, where delta, the greek equivalent of D, is used to represent the discriminant.
In the above equation a=-4, b=3 and c=-2, so
∆=3^2 - 4*-4*-2=9 - 32=-23, so because the discriminant is negative, then there are no x-intercepts.








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https://answers.yahoo.com/question/index;_ylt=A0LEVvH2KJ5Y8UMAhHwPxQt.;_ylu=X3oDMTByMjB0aG5zBGNvbG8D...
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sweet [91]

Answer:

Equation 1 = Equation 2

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Step-by-step explanation:

Let x represent the number of 30-day periods.

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.

Therefore the equation =

$165 -$4 × x

= 165 - 4x.......... Equation 1

He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.

$145 -$3.50 × x

= 145 - 3.50x........... Equation 2

Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together

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Equation 1 = Equation 2

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We simplify further:

165 - 145 = -3.50 + 4.0x

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x = 20/0.5

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3 years ago
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