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Chapter 4: Problem 15
If \(2 \sqrt{x}=x-3\), which of the following is the solution set for \(x\) ? A) \(\\{-1,9\\}\) B) \(\\{1,-9\\}\) C) \(\\{9\\}\) D) \(\\{1,9\\}\)
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Ryan and Allison build a ramp to help their elderly cat, Simms, walk up to their bed. They need the ramp to make a \(35^{\circ}\) angle with their bedroom floor. How long must the ramp be to reach the top of their bed that is exactly three feet off the ground? A) \(\frac{\sin 35^{\circ}}{3}\) B) \(\frac{\sin 55^{\circ}}{3}\) C) \(\frac{3}{\sin 55^{\circ}}\) D) \(\frac{3}{\sin 35^{\circ}}\)
A customer bought a clock for $$\$ 27.50$$, which included a \(10 \%\) sales tax. What was the price of the clock before tax? A) $$\$ 2.75$$ B) $$\$ 25.00$$ C) $$\$ 30.25$$ D) $$\$ 30.56$$ $$ \begin{array}{|c|c|} \hline \text { List } \mathrm{X} & \text { List } \mathrm{Y} \\ \hline 5 & 9 \\ \hline 8 & 10 \\ \hline 13 & 11 \\ \hline 13 & 15 \\ \hline 15 & 19 \\ \hline 18 & 20 \\ \hline \end{array} $$
A) NO CHANGE B) Brown's name became a rallying cry for both sides as the nation moved toward Civil War. C) Brown's cry was the rally that both sides named as the Civil War moved in on the nation. D) Both sides used Brown's name as the nation's Civil War was moving toward it.
A standard parabola in the \(x y\)-coordinate plane intersects the \(x\)-axis at \((5,0)\) and \((-5,0)\). What is the value of the \(x\)-coordinate of this parabola's line of symmetry?
$$ 0.27(a+b)=0.15 a+0.35 b $$ An athletic trainer is attempting to produce a carbohydrate-electrolyte solution that is at \(27 \%\) carbohydrates by mass, which is the maximum amount of saturation allowed by her league. A supply company provides solutions that are at \(15 \%\) and \(35 \%\) carbohydrates by mass, respectively. Based on the equation above, if the trainer uses 10 quarts of the \(15 \%\) solution, how many quarts of the \(35 \%\) solution will she need? A) 180 B) 90 C) 30 D) 15 $$ f(x)=(x-b)^2-4 $$
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