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Questions in mathematics

[Jawaban] At which root does the graph of $f(x)=(x+4)^6(x+7)^5$ cross the $x$-axis? A. -7 B. -4 C. 4 D. 7

[Jawaban] What is the equation of the quadratic function with a vertex at $(2,-25)$ and an $x$-intercept at $(7,0)$? A. $f(x)=(x+3)(x-7)$ B. $f(x)=(x-3)(x+7)$ C. $f(x)=(x+2)(x+7)$ D. $f(x)=(x-2)(x-7)$

[Jawaban] Given that [tex]8^{2 x+3} \times \frac{1}{4^{3 x}}=2^{x+3}[/tex] what is the value of [tex]x[/tex] ? A. 0 B. 3 C. 6 D. [tex]\frac{1}{2}[/tex] E. [tex]\frac{3}{2}[/tex]

[Jawaban] Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it. The system of equations shown can be used to find the number of multiple-choice questions, [tex]$m$[/tex], and the number of free-response questions, [tex]$f$[/tex], on the test. [tex]\begin{array}{l} m+f=15 \\ 3 m+5 f=51 \end{array}[/tex] How many multiple-choice questions are on the test? A. 3 B. 5 C. 12 D. 14

[Jawaban] What are the domain and range of $f(x)=\log x-5$? A. domain: $x>0$; range: all real numbers B. domain: $x<0$; range: all real numbers C. domain: $x>5$; range: $y>5$ D. domain: $x>5$; range: $y>-5$

[Jawaban] The total cost of Anja's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of [tex]$x$[/tex], the cost of each cavity filling? A. [tex]4 x+89.95=628.35 ; x=$134.60[/tex] B. [tex]4(89.95)+x=628.35 ; x=$26855[/tex] C. [tex]4 x+89.95=628.35 ; x=$179.58[/tex] D. [tex]4(89.95)+x=628.35 ; x=$538.40[/tex]

[Jawaban] Scientists from all over the world are attending a 3-day long medical conference in Hyderabad. There are 955 women and 875 men scientists at the venue. What is the total number of scientists attending the conference? On the last day of the conference, an additional 136 scientists will attend from Delhi. How many scientists will be attending the conference on the last day?

[Jawaban] Evaluate the expression: 20 - [5 × (7 + 2) ÷ 3].

[Jawaban] Q3. The table shows the number of boys and girls in two different schools. Which school has an estimated difference of 1,000 between the number of boys and the number of girls? | School Name | Number of Boys | Number of Girls | |---|---|---| | School A | 2,564 | 1,200 | | School B | 1,120 | 2,050 |

[Jawaban] Find the highest common factor (H.C.F.) of the following expressions: 1) 2a³ - a² - a + 2 2) a³ + a² - a - 1