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Questions in mathematics

[Jawaban] What is the slope of the line that contains the points $(7,-1)$ and $(6,-4)$?

[Jawaban] How many solutions exist for the given equation? 3(x + 10) + 6 = 3(x + 12) Options: zero, one, two, infinitely many

[Jawaban] Try This! Which of the following is an arithmetic sequence? 1) 1, 2, 3, 5, 7, 9, ... 2) 11, 12.5, 14, 15.5, ... 3) 1, -1, -3, -5, ... 4) 7, -7, 7, -7, ...

[Jawaban] 4. Divide and check your answer. (a) 32 ÷ 2 (b) 57 ÷ 4 (c) 76 ÷ 5 (d) 315 ÷ 6 (e) 906 ÷ 9 (f) 415 ÷ 2 (g) 521 ÷ 3 (h) 429 ÷ 4

[Jawaban] Given the function f(x) = 3^{2-x} - 3, 6.1 Write f in the form f(x) = ab^x + q. 6.2 Hence, or otherwise, sketch the graph of f showing the asymptote and the intercepts with the axes.

[Jawaban] What is the radius of a circle given by the equation $x^2+y^2-2 x+8 y-47=0$? radius = $\square$ units

[Jawaban] Given the equations, identify which way the parabola opens by matching an equation on the left with a term on the right. | $y^2=6 x$ | $\square$ | left | | $x^2=3 y$ | $\square$ | up | | $y^2=-2 x$ | $\square$ | down | | $x^2=-10 y$ | $\square$ | right |

[Jawaban] What is the solution to the system of equations? $\left\{\begin{aligned} -x+2 y+z & =10 \\ z & =6 \\ 3 x-2 y+2 z & =8 \end{aligned}\right.$ A. $(0,2,6)$ B. $(0,-2,6)$ C. $(0,2,-6)$ D. $(-1,2,6)$

[Jawaban] Use the properties of logarithms to condense the following expression into a single logarithm. Be sure to leave the numerator and denominator in factored form. [tex]2 \log _8(3 x)-\log _8(x+4)+\log _8(x-5)[/tex]

[Jawaban] Which of the following describes the transformation of $g(x)=3(2)^{-x}+2$ from the parent function $f(x)=2^x$? A. reflect across the $x$-axis, stretch the graph vertically by a factor of 3, shift 2 units up B. reflect across the $y$-axis, stretch the graph vertically by a factor of 2, shift 3 units up C. reflect across the $x$-axis, stretch the graph vertically by a factor of 2, shift 3 units up D. reflect across the $y$-axis, stretch the graph vertically by a factor of 3, shift 2 units up