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Questions in Grade Middle-school

[Answered] What is the range of the relation [tex]\{(1, 2), (2, 4), (3, 2), (4, 6)\}[/tex]? A. \{2, 4\} B. \{1, 2, 3, 4, 6\} C. \{2, 4, 6\} D. \{1, 2, 3, 4\} --- Which relation is a function? A. \{(1, 2), (2, 3), (3, 4), (2, 5)\} B. \{(1, 2), (1, 3), (1, 4), (1, 5)\} C. \{(1, 2), (2, 3), (3, 4), (1, 5)\} D. \{(1, 2), (2, 2), (3, 2), (4, 2)\} --- For the function [tex]f(x) = 2 - 3x[/tex], find [tex]f(4)[/tex]. A. -5 B. 12 C. -10 D. 14 --- Which equation represents a direct linear variation? A. [tex]y = x - 3[/tex] B. [tex]y = \frac{1}{3}x[/tex] C. [tex]y = x^2[/tex] D. [tex]y = \frac{1}{x}[/tex] --- Which is the direct linear variation equation for the relationship? [tex]y[/tex] varies directly with [tex]x[/tex] and [tex]y = 12[/tex] when [tex]x = 4[/tex]. A. [tex]y = 3^x[/tex] B. [tex]y = x + 8[/tex] C. [tex]y = 2x + 4[/tex] D. [tex]y = x - 8[/tex] --- Which is the quadratic variation equation for the relationship? [tex]y[/tex] varies directly with [tex]x^2[/tex] and [tex]y = 48[/tex] when [tex]x = 2[/tex]. A. [tex]y = 4x^2[/tex] B. [tex]y = 4x[/tex] C. [tex]y = 12x^2[/tex] D. [tex]y = x^2 + 25[/tex] --- Write the inverse variation equation for the relationship: [tex]y[/tex] varies inversely with [tex]x[/tex] and [tex]y = 4[/tex] when [tex]x = 2[/tex]. A. [tex]y = 2x[/tex] B. [tex]y = \frac{8}{x}[/tex] C. [tex]y = x + 2[/tex] D. [tex]y = \frac{1}{2}x[/tex]

[Answered] Find the missing number: 26 - 4 = 12 + x

[Answered] What is the domain of the function: \(\{(1, 2), (2, 4), (3, 6), (4, 8)\}\)? A. \(\{1, 2, 3, 4, 6, 8\}\) B. \(\{1, 2, 3, 4\}\) C. \(\{6, 8\}\) D. \(\{2, 4, 6, 8\}\) --- Which of the following represents a function? A. B. C. D. --- What is the range of the function: \(\{(2, 1), (4, 2), (6, 3), (8, 4)\}\)? A. \(\{1, 2, 3, 4, 6, 8\}\) B. \(\{1, 2, 3, 4\}\) C. \(\{6, 8\}\) D. \(\{2, 4, 6, 8\}\) --- Suppose \(p\) varies directly with \(d\), and \(p = 3\) when \(d = 5\). What is the value of \(d\) when \(p = 12\)? A. \(\frac{5}{4}\) B. \(20\) C. \(14\) D. \(\frac{36}{5}\) --- Given the function \(T(z) = z - 8\), find \(T(-2)\). A. \(-10\) B. \(-6\) C. \(10\) D. \(6\) --- The number of calories burned, \(C\), varies directly with the time spent exercising, \(t\). When Dennis walks for 4 hours, he burns 800 calories. Which of the following equations shows this direct linear variation? A. \(C = t\) B. \(C = 800t\) C. \(C = 4t\) D. \(C = 200t\)

[Answered] In a school, \(\frac{3}{5}\) of the pupils are boys, and there are 240 girls. 1. How many boys are in the school? 2. How many children are there in total?

[Answered] Convert \(\frac{18}{15}\) into a mixed number.

[Answered] Inverse Variation If I varies inversely with R and I = 0.15 when R = 50, which equation should be used to show this relationship? A.I=7.5/R B.I=7.5R C.IR=0.75 D.I=R/7.5 If x varies inversely with y and x = 8 when y = 6, find y when x =10. A. y=40/3 B.y=5/12 C. y = 7.5 D. y = 4.8 xy = –12. What is the constant of variation for this relationship? A. –1.2 B. -1/4 C. –0.12 D. –12 V varies inversely with T and V = 18 when T = 3. Which equation shows this relationship? A.V=6/T B.V=6T C.V=54/T D.V=54T the 4 is in the doc.

[Answered] Why are all 6-digit Fredholm numbers composite?

[Answered] Which does not show a direct variation between \( x \) and \( y \)? A. \( y = \frac{x}{9} \) B. \( y = 2x \) C. \( y = 0.5x \) D. \( y = \frac{9}{x} \) --- If \( f(x) \) varies directly with \( x \), and \( f(x) = 8 \) when \( x = 6 \), write the direct linear variation equation. A. \( f(x) = \frac{3}{4}x \) B. \( f(x) = 6x \) C. \( f(x) = 8x \) D. \( f(x) = \frac{4}{3}x \) --- Find the constant of variation for the relationship \( f(x) = 30x \). A. 10 B. 30 C. \( x \) D. \( f(x) \) --- If \( f(x) \) varies directly with \( x \), and \( f(x) = 56 \) when \( x = 8 \), find the value of \( f(x) \) when \( x = 2 \). A. 4 B. 7 C. 8 D. 14

[Answered] Nina tosses 2 number cubes labeled 1 to 6. What is the probability that the sum is equal to 5?

[Answered] List the factors of 15 and 30. Indicate which factors are common to both numbers and the Greatest Common Factor (GCF). 15 = ___________ 30 = ___________ Common = ___________ GCF = _______