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In **Mathematics** / **College** | 2025-07-03

[Open]5. If [tex]$\alpha$[/tex] and [tex]$\beta$[/tex] are roots of the quadratic equation [tex]$5 x^2-3 x-1=0$[/tex], find a quadratic equation with integral coefficients which have roots: (i) [tex]$\frac{1}{\alpha^2}$[/tex] and [tex]$\frac{1}{\beta^2}$[/tex] (ii) [tex]$\frac{\alpha^2}{\beta}$[/tex] and [tex]$\frac{\beta^2}{\alpha}$[/tex]

In **Social Studies** / **College** | 2025-07-03

[Open]Every US citizen has equality under the law, which is a A. duty. B. right. C. requirement.

In **Mathematics** / **High School** | 2025-07-03

[Open]For [tex]f(x)=4 x+1[/tex] and [tex]g(x)=x^2-5[/tex], find [tex](f+g)(x)[/tex] A. [tex]4 x^3-4[/tex] B. [tex]x^2+4 x+6[/tex] C. [tex]4 x^2-19[/tex] D. [tex]x^2+4 x-4[/tex]

In **Mathematics** / **High School** | 2025-07-03

[Open]Which ordered pair makes both inequalities true? [tex] \begin{array}{l} y>-3 x+3 \\ y \geq 2 x-2 \end{array} [/tex] A. $(1,0)$ B. $(-1,1)$ C. $(2,2)$ D. $(0,3)$

In **Mathematics** / **College** | 2025-07-03

[Open]A painter uses the expression $35h + 30c$ to determine how much he charges a customer for a job that takes h hours and c cans of paint. His last job required 3 cans of paint and took 15 hours to complete. How much did the painter charge?

In **History** / **High School** | 2025-07-03

[Open]Descartes supposes the existence of an "evil genius" in order to: A. extend radical doubt to all aspects of experience. B. demonstrate that the soul is eternal, regardless of circumstances. C. demonstrate that God's essential nature is duplicitous. D. frighten his readers into returning to mathematical certainty.

In **Business** / **College** | 2025-07-03

[Open]A truly enormous amount of information is available in the form of databases, and a surprising body of data can be accessed without cost to companies. True False

In **Law** / **College** | 2025-07-03

[Open]The law gives the right of way to no one. a) true b) false

In **Physics** / **High School** | 2025-07-03

[Open]A particle moves in a circle of radius 25 cm at two revolutions per second. The average acceleration of the particle in half cycle in meters per sec² is: (A) π (B) 8π (C) 800π (D) 2π

In **Mathematics** / **College** | 2025-07-03

[Open]A. Find the sum of each of the following: 1. integers from 1 to 50 2. odd integers from 1 to 100 3. even integers between 1 and 101 4. first 25 terms of the arithmetic sequence [tex]$4,9,14,19,24, \ldots$[/tex] 5. multiples of 3 from 15 to 45 6. numbers between 1 and 81 which are divisible by 4 7. first 20 terms of the arithmetic sequence [tex]$-16,-20,-24, \ldots$[/tex] 8. first 10 terms of the arithmetic sequence [tex]$10.2,12.7,15.2,17.7, \ldots$[/tex] 9. [tex]$1+5+9+\ldots+49+53$[/tex] 10. [tex]$\frac{1}{2}+\frac{3}{2}+\frac{5}{2}+\ldots+\frac{17}{2}+\frac{19}{2}$[/tex]