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Questions in mathematics

[Done] Given [tex]h(x)=-x+5[/tex], solve for [tex]x[/tex] when [tex]h(x)=0[/tex].

[Done] What are the coordinates of the turning point of the graph of the quadratic equation $y=2 x^2+5 x-2$ A. $\left(-\frac{5}{4},-\frac{41}{16}\right)$ B. $\left(-\frac{5}{4},-\frac{41}{8}\right)$ C. $\left(\frac{5}{4},-\frac{41}{16}\right)$ D. $\left(-\frac{5}{2},-\frac{41}{8}\right)$ E. $\quad\left(-\frac{5}{2},-\frac{41}{16}\right)$

[Done] You roll two number cubes. Let event A = You roll an even number on the first cube. Let event B = You roll a 6 on the second cube. Are the events independent or dependent? Why? A. Dependent, because both cubes have six sides. B. Independent, because the outcome of the first roll doesn't affect the outcome of the second roll. C. Dependent, because 6 is an even number. D. Independent, because they have no outcomes in common.

[Done] Marco went on a hiking trip. The first day he walked 24 kilometers. Each day since, he walked a third of what he walked the day before. Which expression gives the total distance Marco walked in the first $n$ days of his trip? Choose 1 answer: A) $24 \cdot \frac{1-\left(\frac{1}{3}\right)^n}{1-\left(\frac{1}{3}\right)}$ B) $24 \cdot \frac{1-\left(\frac{2}{3}\right)^n}{1-\left(\frac{2}{3}\right)}$

[Done] A survey was conducted with high school students in each grade to see how many participate in sports. The data are shown below. | | 9 | 10 | 11 | 12 | Total | | :----- | :- | :- | :- | :- | :---- | | Sports | 63 | 52 | 35 | 41 | | | No Sports | 51 | 45 | 21 | 36 | | | Total | | | | | 344 | Which statement is true about the marginal frequencies in this table? A. 191 students play sports and 150 students do not. B. 153 students do not participate in sports and seventy-ilve 12th graders were surveyed C. 153 students do not participate in sports and 190 do. D. 191 students play sports and ninety-seven 10th graders were surveyed.

[Done] Fill in the blanks with >, <, or =. a. VII VIII b. XVI XI c. LXXI XXXIV d. XXVII 30 + 20 e. 90 - 20 LV f. 78 - 46 XXX 4. Write your answer in Roman numbers. a. L + XV = b. X + XIV = c. XXVI + XXIV = d. VIII + IV = e. XX + XXIV= f. XXXVII + XIX =

[Done] In the triangle, one angle is 47°. The other two angles are x° and y°. Find the values of x and y.

[Done] What is the center of a circle represented by the equation $(x+9)^2+(y-6)^2=10^2$? A. $(-9,6)$ B. $(-6,9)$ C. $(6,-9)$ D. $(9,-6)$

[Done] The graph of which function will have a maximum and a $y$-intercept of 4? A. $f(x)=-x^2+2 x+4$ B. $f(x)=4 x^2+6 x-1$ C. $f(x)=-4 x^2+8 x+5$ D. $f(x)=x^2+4 x-4$

[Done] Write the expression as an exponent: [tex]$3^4 \cdot 3^2 \cdot 3^3 \cdot 3$[/tex]