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Questions in Grade College

[Done] What is the radius of a circle whose equation is $(x+5)^2+(y-3)^2=4^2$? A. 2 units B. 4 units C. 8 units D. 16 units

[Done] Use factoring to solve the quadratic equation. Check by substitution or by using a graphing calculator. [tex]5 x^2=33 x+14[/tex] Rewrite the equation in factored form. $\square =0$ (Factor completely.) The solution set is {$\square$}. (Use commas to separate answers as needed. Type each solution only once.)

[Done] Which function has the same range as [tex]f(x)=-2 \sqrt{x-3}+8[/tex]? A. [tex]g(x)=\sqrt{x-3}-8[/tex] B. [tex]g(x)=\sqrt{x-3}+8[/tex] C. [tex]g(x)=-\sqrt{x+3}+8[/tex] D. [tex]g(x)=-\sqrt{x-3}-8[/tex]

[Done] Under the Affordable Care Act, which of these plans is designed to provide coverage that is actuarially equivalent to 80% of the actuarial value of the benefits provided under the plan? A. Platinum B. Gold C. Bronze D. Silver

[Done] Which subtraction expression has the difference [tex]$1+4 i$[/tex]? A. [tex]$(-2+6 i)-(-1-2 i)$[/tex] B. [tex]$(3+5 i)-(2+i)$[/tex] C. [tex]$(3+5 i)-(2-i)$[/tex] D. [tex]$(-2+6 i)-(1-2 i)$[/tex]

[Done] Express the given quantity as a single logarithm. [tex]$\ln \left(10+x^2\right)+6 \ln x-\ln (x+2)$[/tex]

[Done] The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimination to find the two numbers. a. [tex] \begin{array}{l} x+y=98 \\ x-y=22 \\ 55 \text { and } 33 \end{array} [/tex] c. [tex] \begin{array}{l} x-y=98 \\ x+y=22 \\ 59 \text { and } 39 \end{array} [/tex] b. [tex] \begin{array}{l} x+y=98 \\ x-y=22 \\ 60 \text { and } 38 \end{array} [/tex] d. [tex] \begin{array}{l} x+y=22 \\ y-x=98 \\ 55 \text { and } 39 \end{array} [/tex] Please select the best answer from the choices provided A B C D

[Done] What is the domain of [tex]$y=\log _5 x$[/tex]? A. all real numbers less than 0 B. all real numbers greater than 0 C. all real numbers not equal to 0 D. all real numbers

[Done] Over the course of two hundred and forty-five years (the time when Hawkins began the British involvement in the trade), it is estimated the British initiated ten thousand voyages along the triangle Trade. True or False?

[Done] The function $h(x)$ is given below. $h(x)=\{(3,-5),(5,-7),(6,-9),(10,-12),(12,-16)\}$ Which of the following gives $h^{-1}(x)$ ? A. $\{(3,5),(5,7),(6,9),(10,12),(12,16)\}$ B. $\{(-5,3),(-7,5),(-9,6),(-12,10),(-16,12)\}$ C. $\{(3,-5),(5,-7),(6,-9),(10,-12),(12,-16)\}$ D. $\{(5,3),(7,5),(9,6),(12,10),(16,12)\}$