| Topic | Problem | Solution |
|---|---|---|
| None | The population growth of an animal species is des… | The population growth of an animal species is described by the equation \(F(t)=400 \log (2 t+3)\), … |
| None | For $f(x)=8 x-5$ and $g(x)=5 x-8$, find $(f \circ… | The question is asking for the composition of two functions, \(f(x)\) and \(g(x)\). The composition… |
| None | 24) $\frac{49}{7} \times \frac{60}{2 \times 5}$ | Simplify the fractions: \(\frac{49}{7} = \frac{7}{1}\) and \(\frac{60}{2 \times 5} = \frac{6}{1}\) |
| None | Solve the logarithmic equation. \[ x=\log _{4} \f… | The logarithmic equation is given as \(x = \log_4 \frac{1}{64}\). |
| None | Find $(g-f)(x)$ when $f(x)=2 x-4$ and $g(x)=5 x-9$ | Given functions are $f(x)=2x-4$ and $g(x)=5x-9$ |
| None | If $f$ is one-to-one, find an equation for its in… | Since $f$ is one-to-one, it has an inverse. We can find the inverse by swapping $x$ and $y$ and sol… |
| None | Match the description with the correct response. … | Match the description with the correct response. A vertical line is represented by an equation of t… |
| None | Solve by factoring \[ 3 t^{2}+4 t-20=0 \] | The given equation is a quadratic equation in the form \(ax^2 + bx + c = 0\). |
| None | 24. A 15,000-kg truck moves up an inclined plane … | Given that the mass of the truck is 15,000 kg, it moves at a constant speed of 10 m/s, and the plan… |
| None | 23) $(10+2-2) \times 6-1$ | Perform operations inside parentheses: $(10+2-2) = 10$ |
| None | Francisco claimed that the equation $x^{2}-8 x=0$… | Francisco claimed that the equation \(x^{2}-8 x=0\) cannot be solved by the quadratic formula since… |
| None | Solve the equation. \[ 8[1-(-3 x-7)]=72 x+176 \] | Distribute the 8 on the left side of the equation to get \(24x + 56 = 72x + 176\). |
| None | Solve the equation by the square root property. \… | The given equation is a quadratic equation in the form of \((ax+b)^2 = c\). To solve this equation,… |
| None | 5. Gas in a constant-volume gas thermometer regis… | Given that the initial pressure \(P_1\) is 95.0 kPa and the initial temperature \(T_1\) is 100°C, w… |
| None | 6 . The coefficient of linear expansion of lead i… | The coefficient of linear expansion is a measure of how much a material expands per degree change i… |
| None | Is \( (-42,-840) \) a solution to the equation \(… | Substitute x and y values: \( -840 = 20(-42) \) |
| None | Question 3(Multiple Choice Worth 2 points) (Slope… | The slope in this context represents the rate of change, or how much the cost of the delivery servi… |
| None | d) $\frac{a^{2}-6 a+9}{2 a-6}=$ | Esta é uma questão de simplificação. O numerador é uma equação quadrática e o denominador é uma equ… |
| None | $2 \times 7-\frac{10}{9-4}$ | Perform operations inside parentheses and fraction: \(\frac{10}{9-4} = \frac{10}{5} = 2\) |
| None | Question 5(Multiple Choice Worth 2 points) (Slope… | The slope of a line that contains two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated us… |
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