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Questions in mathematics

[Free] Factorise completely the following quadratic expressions: a. x^2 + 2x - 3 b. 6 - 5x - x^2 c. 3x^2 - 17x + 10 d. p^2 - 1

[Free] $\int \frac{x+5}{(x+6)^2} e^x \, dx$ is equal to:

[Free] The coordinates of midpoint $M$ and endpoint $C$ of a segment are $M(25.4,60.1)$ and $C(18.3,72.5)$. Find the coordinates of the other endpoint.

[Free] Line $AB$ passes through $A(-3,0)$ and $B(-6,5)$. What is the equation of the line that passes through the origin and is parallel to line $AB$? A. $5x-3y=0$ B. $-x+3y=0$ C. $-5x-3y=0$ D. $3x+5y=0$ E. $-3x+5y=0

[Free] How many intersections are there of the graphs of the equations below? [tex]\begin{array}{l} \frac{1}{2} x+5 y=6 \\ 3 x+30 y=36 \end{array}[/tex] A. none B. one C. two D. infinitely many

[Free] The mean test scores with standard deviations of four English classes are given below. | Class | Mean | Standard Deviation | | :-------- | :------- | :------------------- | | Mrs. Jones | 89 | 1.9 | | Mrs. Rijo | 82 | 1.4 | | Mr. Phan | 73 | 3.4 | | Mrs. Scott | 90 | 6.1 | Which statement is most likely to be true? A. The scores of Mrs. Scott's class are the closest to the class mean. B. The scores of Mr. Phan's class are the closest to the class mean. C. The scores of Mrs. Jones's class are the closest to the class mean. D. The scores of Mrs. Rijo's class are the closest to the class mean.

[Free] The number name for the predecessor of 1 crore is

[Free] Complete the following multiplication and division calculations involving fractions (show all the steps). 4.1.1. [tex]$\frac{4}{6} \div \frac{3}{12}$[/tex] 4.1.2. [tex]$\frac{7}{9} \times \frac{4}{28}$[/tex] 4.1.3. [tex]$4 \frac{1}{6} \times 6 \frac{2}{5}$[/tex]

[Free] Evaluate $(h h)\left(\frac{7}{5}\right)$ given that $h(x)=\frac{1}{5 x+2}$

[Free] Select the correct answer from each drop-down menu. Complete the statement to correctly describe the end behavior of the given function. [tex]f(x)=10(0.75)^x[/tex] The left end approaches [ ] , and the right end approaches [ ]