Advanced Quizzes — Quiz 7

Questions in this quiz (10)

1. $$(x+7)$$ is a factor of the quadratic function $$y=f(x)$$, and $$x=c$$ is a positive zero of the function. If the minimum of the function is $$(\frac{63}{8},k)$$, what is the value of $$c$$?

   • $$\frac{4}{9}$$
   • $$\frac{3}{4}$$
   • $$\frac{91}{4}$$
   • $$\frac{63}{4}$$

2. For two acute angles, $$\angle A$$ and $$\angle B$$, $$\cos A=\sin B$$. The measures, in degrees, of $$\angle A$$ and $$\angle B$$ are $$13x+10$$ and $$48+3x$$, respectively. What is the value of $$x$$?

   • 2

3. A baseball coach charges each athlete 150 dollars for the first month and 95 dollars for each additional month. Which of the following functions correctly represents the total revenue $$R(m)$$, in dollars, for $$m$$ months and $$n$$ athletes, where $$m$$ and $$n$$ are positive integers?

   • $$R(m)=95mn+55$$
   • $$R(m)=95mn+150$$
   • $$R(m)=95mn+55n$$
   • $$R(m)=95mn+150n$$

4. For the given function $$f(x)$$, which of the following gives the equation for the function $$f(x)+20$$, given that the point $$(-4,0)$$ lies on the graph of $$f(x)-20$$?

   • $$f(x)=-7x-28$$
   • $$f(x)=-7x-8$$
   • $$f(x)=-7x+8$$
   • $$f(x)=-7x+12$$

5. The positive number $$a$$ is $$480\%$$ of the number $$b$$, and $$a$$ is $$70\%$$ of the number $$c$$. If $$c$$ is $$p\%$$ of $$b$$, which of the following is closest to the value of $$p$$?

   • $$267$$
   • $$336$$
   • $$550$$
   • $$686$$

6. The exponential function $$f(x)=a^x-b$$ passes through points $$(c,8)$$ and $$(2c,350)$$. What is a possible value of $$b$$?

   • 11

7. The table gives the volume of two similar cylinders. Cylinder A has volume $$1296\pi$$ and surface area $$k\pi$$. Cylinder B has volume $$162000\pi$$ and surface area $$j\pi$$. If the radius of cylinder A is $$9$$ cm, what is the value of $$j-k$$?

   • 10800

8. For the function $$f$$, for every increase of $$\frac{1}{2}$$ in the value of $$x$$, the value of $$f(x)$$ increases by a factor of $$c$$, where $$c$$ is a constant. Which of the following forms of function $$f$$ displays the value of $$c$$ as the base or coefficient?

   • $$f(x)=56(2)^{6x}$$
   • $$f(x)=56(8)^{2x}$$
   • $$f(x)=56(64)^x$$
   • $$f(x)=56(4096)^{\\frac{x}{2}}$$

9. The quadratic function $$ax^2+200x+c$$ has at least one real solution. What is the greatest possible value of $$ac$$?

   • 10000

10. A polygon has exactly $$97$$ sides. If the measure of each of the $$97$$ interior angles of this polygon is $$(180p)^\circ$$, what is the value of $$p$$?

    • $$\frac{95}{97}$$
    • $$\frac{5}{7}$$
    • $$\frac{5}{9}$$
    • $$\frac{9}{7}$$