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Questions in Grade College

[Solved] In Exercises 1 and 2, tell whether the ordered pair is a solution of the system of linear equations. 1. [tex]$\begin{array}{r} (0,-4) ;-y-x=4 \\ y-5=-4 \end{array}$[/tex] 2. [tex]$\begin{array}{r} (-8,4) ; 3 y=-2 x-4 \\ 2 y=-3 x-4 \end{array}$[/tex]

[Solved] Hurricanes are powerful tropical storms that form over warm ocean waters and can cause widespread destruction when they reach land. These massive storms bring heavy rain, strong winds, and storm surges that can flood coastal areas, damage buildings, and uproot trees. They are categorized based on wind speed, with Category 5 being the most severe. Scientists use satellite imagery and computer models to track hurricanes and predict their paths, helping communities prepare and stay safe.

[Solved] Simplify the given expression and enter in numerical form. $8+6 \cdot 2$

[Solved] A type of life insurance policy that requires premiums only for a specified number of years or to a specific age is called a: A. term life policy B. limited pay policy C. key man insurance policy D. split dollar policy

[Solved] How does the graph of $y=a(x-h)^2+k$ change if the value of $h$ is doubled? A. The vertex of the graph moves to a point twice as far from the $x$-axis. B. The vertex of the graph moves to a point twice as far from the $y$-axis. C. The vertex of the graph moves to a point half as far from the $x$-axis. D. The vertex of the graph moves to a point half as far from the $y$-axis.

[Solved] Which of the following correctly explains how the concept of demand affects the change in use of credit? Select the two correct answers. A. High interest rates yield low demand for credit. B. Low interest rates yield high demand for credit. C. High interest rates yield high demand for credit. D. Low interest rates yield low demand for credit. E. Both low and high interest rates yield low demand for credit because consumers see it as an indicator that the market is not in equilibrium. Demand is highest when rates are neither too high nor too low.

[Solved] Let $u =\langle 5,-12\rangle$ and $c=-3$. What is $||cu||$?

[Solved] When you have a product or quotient raised to a power, you can apply the power rule. Complete this expression. [tex](c w)^h=[/tex] Simplify the following expression completely. [tex]\left(\frac{2}{z}\right)^5=[/tex] Simplify the following. [tex]\left(\frac{3 x^4}{7}\right)^2=[/tex] Note: We can only use the expanded power rule when there isn't any addition or subtraction. For example, you need to multiply. Simplify. [tex](3 t+5)^2 \neq(3 t)^2+5^2[/tex] Instead, [tex](3 t+5)^2=[/tex]

[Solved] A company is researching mining at four different land areas using different types of equipment. The table below shows the costs of land, equipment, mining, and reclamation for the four locations: | Locations | Cost of land | Cost of equipment | Cost of mining and reclamation | Time taken to mine the area | | --------- | ------------ | ----------------- | -------------------------------- | --------------------------- | | 1 | $100,000 | $10,000 | $5,000 per day | 30 days | | 2 | $35,000 | $6,000 | $4,500 per day | 45 days | | 3 | $30,000 | $7,500 | $3,500 per day | 120 days | | 4 | $40,500 | $8,000 | $7,000 per day | 65 days | Considering all costs, which location will cost the least for the company to mine? A. Location 1 B. Location 2 C. Location 3 D. Location 4

[Solved] What is the first step when rewriting $y=3 x^2+9 x-18$ in the form $y=a(x-h)^2+k$? A. 3 must be factored from $3 x^2+9 x$ B. $x$ must be factored from $3 x^2+9 x$ C. 9 must be factored from $9 x-18$ D. 3 must be factored from $3 x^2-18$