For which value of c below will the equation x² +3x +c = 0 have only one real solution? (1) c = 0 (3) c =14 (2) c = -2 (4) c = 24

Q: 2x – y + 2z = 3 x + 3y – z = 1 3x + 2y + z = 4 Solve to find the value of the variables

A:

Q: Solve for X in the equation, given(a) X = 3A − 2B (b) 2X = 2A − B (c) 2X + 3A = B (d) 2A + 4B = −2X

A: Given:

Q: What's the counterexample of |x+3|=|x|+3

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Q: the following equations for y: 2x + 3y - 2² = 8 2y-3x = 5 (c) (d) ry+5y – 15 =- 3+²=2 y

A:

Q: x2 – 2r – 3 c(x) = x2 + 4x – 5 2. Fill the Table: 3. Graph the function:

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Q: If g (t) = 3t2 + . then g (t) = 6 t 7x6 42t-8 6.

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Q: 4. Solve the equation: 2x³ 3x2 - 11x+6=0 3x² - 11x +6 given that -2 is a zero of f(x) = 2x³ - 3x²

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Q: 2 J1 4 30x(x - 1)¹dx is

A: given integration

Q: (a) 2x+3y-2²=8 (b) 2y-3x = 5 (c) (d) xy +5y-15=-5 3+ Y

A:

Q: -6(2x + 1) - 3 (x - 4) = 15x +1

A: No, it is false.

Q: Find (f + 9)(x) if f(x) = -322 + 2x – 3 and g(a) = 22? – 3x + 4.

A: (f+g)(x)=f(x)+g(x)

Q: Vx – 3Vx – 4 = 0

A:

Q: What are all the real zeroes of y = (x– 12)°–7? %3D

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Q: Solve the following equations for x. (a) 2x 1 15+5x (b) 12-3(x-2b) = 56-4x

A:

Q: A rectangular dock that measures 12 feet by 16 feet is treated with a uniform strip of nonslip…

A: A rectangular dock that measures 12 feet by 16 feet is treated with a uniform strip of nonslip…

Q: 40x+ 5y= -20 15x- 3y= 12 55x+ 2y= -8 X=[a] Y=[b]

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.