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dalvyx [7]
1 year ago
10

Write a quadratic equation given the solutions -4,-6

Mathematics
1 answer:
BigorU [14]1 year ago
3 0

x^{2} +6x+24 is the quadratic equation with the solutions -4 and -6

Given that -4 and -6 are solutions of a quadratic equation and asked to find out the quadratic equation

If "a" and "b" are the roots of the quadratic equation then,

sum of roots = a+b

product of roots = ab

There the required quadratic equation is  x^{2} -(a+b)x+ab

Given that a= -4 and b= -6

sum of roots = a+b = -4 +(-6) = -10

product of roots = ab =( -4 )( -6 ) = 24

There the required quadratic equation is x^{2} +10x+24

Hence, x^{2} +6x+24 is the quadratic equation with the solutions -4 and -6

Learn more about quadratic equation here:

brainly.com/question/17177510

#SPJ9

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Line p passes through A(-2, -4) and has a slope of 1/2 What is the standard form of the equation for line p?
yarga [219]
Point slope form is y-(-4) = 1/2(x-(-2)

y+4 =1/2 (x+2)

now the standard form 2y+8=x+2
so -x+2y=-6 is the equation for line p in standard form
4 0
3 years ago
The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of \piπ.
zaharov [31]

Answer:

Area = 9π sq. m.

Step-by-step explanation:

C = πd

6π = πd

d = 6

r = 3

A = πr^{2} = π3^{2} =  9π sq. m.

5 0
3 years ago
candice is going to replace the top of a table with a new piece of wood. How many square feet of wood would she purchase? 8ft. ,
lukranit [14]

Answer:

She  needs to purchase  50  square feet of wood .

Step-by-step explanation:

we can find the number of square feet of wood needed to purchase by finding the area of the table

The area of the table  =  area of the triangle + area of the rectangle

Area of the triangle:

Area of the triangle  = \frac{1}{2}(base \times height)

On substituting the values from the attached figure , we get

Area of the triangle  = \frac{1}{2}(4\times  5)

Area of the triangle  = \frac{20}{2}

Area of the triangle  = 10 square feet

Area of the rectangle:

Area of the rectangle = Length X  Breadth

On substituting the values from the attached figure , we get

Area of the triangle  = 5 \times  8

Area of the triangle  =  40 square feet

Thus the area of the table  = 10 +  40 = 50  square feet

5 0
3 years ago
Show me how to do this problem, 5550/ 10to the 3rd power
ICE Princess25 [194]
It should be 555^3=170953875
7 0
3 years ago
Read 2 more answers
(c). Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture at time t (in s
Bezzdna [24]

(i) Since P(t) gives the population of the culture after t seconds, the population after 1 second is

P(1) = 3•1² + 3e¹ + 10 = 13 + 3e ≈ 21.155

In Mathematica, it's convenient to define a function:

P[t_] := 3t^2 + 3E^t + 10

(E is case-sensitive and must be capitalized. Alternatively, you could use Exp[t]. You can also specify that the argument t must be non-negative by entering a condition via P[t_ ;/ t >= 0], but that's not necessary.)

Then just evaluate P[1], or N[P[1]] or N <at symbol> P[1] or P[1] // N to get a numerical result.

(ii) The average rate of change of P(t) over an interval [a, b} is

(P(b) - P(a))/(b - a)

Then the ARoC between t = 2 and t = 6 is

(P(6) - P(2))/(6 - 2) ≈ 321.030

In M,

(P[6] - P[2])/(6 - 2)

and you can also include N just as before.

(iii) You want the instantaneous rate of change of P when t = 60 (since 1 minute = 60 seconds). Differentiate P :

P'(t) = 6t + 3e^t

Evaluate the derivative at t = 60 :

P'(60) = 6•60 + 3e⁶⁰ = 360 + 3e⁶⁰

The approximate value is quite large, so I'll just leave its exact value.

In M, the quickest way would be P'[60], or you can differentiate and replace (via ReplaceAll or /.) t with 60 as in D[P[t], t] /. t -> 60.

5 0
3 years ago
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