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Andrei [34K]
3 years ago
5

What is the equation of a quadratic function P with rational coefficients that

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

P(x) = x^2-6x+58

Step-by-step explanation:

Quadratic function is function of the form P(x)=ax^2+bx+c where a, b and c are real numbers and a\neq 0

A number is said to be a rational number if it can be written in the form \frac{u}{v} where u and v are integers and v\neq 0.

A number is said to be a complex number if it can be written in the form u+iv where u and v are real numbers.

A number 'a' is said to be a zero of a function P(x) if P(a)=0

We know that if zero of a fraction is of form u+iv then its other zero is u-iv.

As 3+7i is a zero of the function, 3-7i is also its zero.

So, given equation is \left ( x-(3-7i) \right )\left ( x-(3+7i) \right )

P(x)=\left ( x-(3-7i) \right )\left ( x-(3+7i) \right )\\=x^2-x(3+7i)-x(3-7i)+(3-7i)(3+7i)\\=x^2-3x-7ix-3x+7ix+9+49\\=x^2-6x+58

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Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Perpendicular lines are lines whose slopes are negative reciprocals of each other

To find the slope of the line we are given, we can rearrange the equation

4x - 5y = 4\\4x - 4 = 5y\\y = \frac{4}{5}(x) - \frac{4}{5}

The slope of this line is \frac{4}{5}, so the slope of the other line is \frac{-5}{4}

next, we can use the given point to find the equation y = mx +b

we know m, we can solve for b

y = \frac{-5}{4}(x) + b\\-3 = \frac{-5}{4}(-2) + b\\-3 = \frac{5}{2} + b\\\frac{-6}{2} = \frac{5}{2} + b\\

b = \frac{-11}{2}

so,\\y = \frac{-5}{4}(x) - \frac{11}{2}

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2 years ago
johnnys baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. the team has a total of 11
lapo4ka [179]
Given that Johney's baseball had raised $1,456 out of $2,000 they need to play the tournament.

Amount of money they still need to raise is given by $2,000 - $1,456 = $544.

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8 0
3 years ago
Find the midpoint of the line segment with the given endpoints (-4,4) (5,-1)
seraphim [82]

Answer:

(1/2), (3/2)

Step-by-step explanation:

midpoint fomula

(x1+x2)/ 2,  (y1+y2)/2

(5-4)= 1    1/2 = (1/2)

(-1+4)=3    3/2=(3/2)

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3 years ago
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Nat2105 [25]

Answer:

m(arc FE) = 166°

Step-by-step explanation:

By theorem of intersecting chords and tangent of a circle,

Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.

m(∠GFE) = \frac{1}{2}\text{m (arc} FE)

83° = \frac{1}{2}\text{m (arc} FE)

m(arc FE) = 166°

7 0
3 years ago
Please help me with this question.
padilas [110]
It would be: = 56 1/4 % = 225/4% = 225/4/100 = 225/400 = 9/16

In short, Your Answer would be 9/16

Hope this helps!
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