Some friends who were playing darts decided to impose a 2 point penaty for each dart that missed the dart board completely. Duri
1 answer:
Answer:
The boy score 164 points.
Step-by-step explanation:
We are given that some friends who were playing darts decided to impose a 2 point penalty for each dart that missed the dartboard completely.
During the evening, a boy had 5 darts in the 20-point section, 2 darts in the triple-15-point section, and 4 darts in the double-10 point section. He missed the dartboard completely 3 times.
The points boy scored by pointing the dart in the 20-point section = 5 20 = 100 points
The points boy scored by pointing the dart in the 15-point section = 2 15 = 30 points
The points boy scored by pointing the dart in the 10-point section = 4 10 = 40 points
The penalty points imposed on the boy = 3 2 = 6 points
So, the total points boy scored = 100 + 30 + 40 - 6 = 164 points.
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Answer:
substitute that value for x in the polynomial and see if it evaluates to zero
Step-by-step explanation:
A "zero" of a polynomial is a value of the polynomial's variable that make the expression become zero when it is evaluated. As an almost trivial example, consider the polynomial x-3. The value x = 3 is a zero because substituting that value for x makes the expression evaluate as zero.
3 -3 = 0
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Evaluating polynomials can be done different ways. Straight substitution for the variable is one way. Using synthetic division by x-a (where "a" is the value of interest) is another way. This latter method is completely equivalent to rewriting the polynomial to Horner form for evaluation.
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In the attachment, Horner Form is shown at the bottom.
ANSWER
The other zero is
EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is
We were also given that, one of the zeroes of the quadratic equation is
Let the other zero of the quadratic equation be
,then, we apply the midpoint formula to find the value of
Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,
We substitute to obtain,
We multiply through by 2 to get,
This implies that,
The other zero is
EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is
We were also given that, one of the zeroes of the quadratic equation is
Let the other zero of the quadratic equation be
,then, we apply the midpoint formula to find the value of
Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,
We substitute to obtain,
We multiply through by 2 to get,
This implies that,