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Questions in mathematics

[Done] If $f(x)=\left\{\begin{array}{lll}x^2+1 & \text { if } & x \leq-1 \\ 2 x-3 & \text { if } & x>-1\end{array}\right. $, what is $f(-2)$? A. 4 B. 5 C. -7 D. -5

[Done] \frac{4}{5}-\frac{5}{8}=

[Done] A bank features a savings account that has an annual percentage rate of $5.9 \%$ with interest compounded semi-annually. Ricardo deposits $\$ 10,500$ into the account. What is the annual percentage yield (APY) for the savings account? $A P Y=$ $\square$ \%. Round to the nearest hundredth of a percent.

[Done] Solve the system of equations. Enter your answer as an ordered pair. [tex]\begin{array}{l} 5 x+5 y=20 \\ -5 x+4 y=7 \end{array}[/tex] Solve the system of equations. Enter your answer as an ordered pair. [tex]\begin{array}{c} 10 x-8 y=-2 \\ 9 x+8 y=59 \end{array}[/tex]

[Done] Amit solved the equation $\frac{5}{12}=-\frac{x}{420}$ for $x$ using the steps shown below. What was Amit's error? $\begin{aligned} \frac{5}{12} & =-\frac{x}{420} \\ \frac{5}{12}(420) & =-\frac{x}{420}(420) \\ x & =175 \end{aligned}$ A. Amit should have multiplied both sides of the equation by $\frac{5}{12}$. B. Amit should have multiplied both sides of the equation by $\frac{12}{5}$. C. The product of $\frac{5}{12}$ and 420 is not equal to 175.

[Done] Which equation describes the line that passes through the points $(1,3)$ and $(-2,6)$? A. $y=-2 x+3$ B. $y=-2 x+6$ C. $y=-x+3$ D. $y=-x+4$

[Done] Find the value of [tex]$\frac{101}{(10-3) 1}$[/tex]. A. 5040 B. 120 C. 70 D. 720

[Done] The table shows the number of refrigerators. | Months | July | August | September | October | |---|---|---|---|---| | Number of refrigerator sets | 20 | 40 | 25 | 30 | Draw a pictograph by using pictures or stickers.

[Done] The total number of students in section A and B of a class is 200. The number of students in section B is 40 less than that of section A. The average score of the section B, in a test is 20% more than that of students in A. If the average score of all the students in the class is 48.6, what is the average score of the students in A? Options: 38 40 45 36 49

[Done] Which value of correlation coefficient indicates the strongest negative linear relationship? (A) -1 (B) 1 (C) 0 (D) 0.5