A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely.Sn: 2 is a factor of n2 + 9n

What will be an ideal response?


Sk:2 is a factor of k2 + 9k
Sk+1: 2 is a factor of k2 + 11k + 10

Mathematics

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Simplify.2.1x - 3.8 - 1.7x - 9.6

A. 0.4x + 5.8 B. -13x C. 0.4x - 13.4 D. 3.8x - 36.48

Mathematics

Which of the following best exemplifies univocal discourse?

a. A teacher demonstrating a procedure in class for solving quadratic equations and then asking students to use it on their homework exercises. b. Students sharing possible solutions to an open-ended task with one another while working in groups. c. Two students arguing about which strategy is most efficient for solving a given equation. d. A whole-class brainstorming activity where students give opinions about the best models for representing fractions.

Mathematics

Use the quadratic formula or graphing methods to solve the inequality.4x2 + 20x + 8 ? 0

A. x ?  ? -4.562 or x ?  ? -0.438
B. x ?  ? -4.562
C. x ?  ? -0.438
D.  ? -4.562 ? x ?  ? -0.438

Mathematics

Find the vertex, focus, and directrix of the parabola. Graph the equation.y2 + 10y = 12x + 23

A. vertex: (-4-5)
focus: (
-4-8)
directrix: y 
= -2

B. vertex: (-4-5)
focus: (
-1-5)
directrix: x 
= -7

C. vertex: (-4-5)
focus: (
-4-2)
directrix: y 
= -8

D. vertex: (-4-5)
focus: (
-7-5)
directrix: x 
= -1

Mathematics