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2 years ago

Let F(x) = 2x2 + x - 3 and g(x) = x - 1. f(x) g(x)

Mathematics

1 answer:

seraphim [82]2 years ago

3 0

Answer:

Video result for Let F(x) = 2x2 + x - 3 and g(x) = x - 1. f(x) g(x) Find and state its domain. Answers: X - 1; domain is the set of all real numbers (x-1)/(2x + 3) ; domain is the set of all real numbers except-(3/2) 2x + 3; domain is the set of all real numbers except 16:39

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Step-by-step explanation:

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6. Using the discriminant, determine the value of k that will give 1 solution (i.e. discriminant equals zero) y = kx²-4x + 4

Gwar [14]

Answer:

k = 1

Step-by-step explanation:

Discriminant

$b^2-4ac\quad\textsf{when }\:ax^2+bx+c=0$

$\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}$

$\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}$

$\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}$

As we need to determine the value of k that will give one solution, set the discriminant to zero.

Given equation:

$y=kx^2-4x+4$

Therefore:

a = k
b = -4
c = 4

Substitute these values into the discriminant and solve for k:

$\begin{aligned}b^2-4ac & = 0\\\implies (-4)^2-4(k)(4) & = 0\\16-16k & = 0\\16k & = 16\\\implies k & = 1\end{aligned}$

4 0

2 years ago

Christine took 3 tests and had an average of 76. She has one more test to take and she wants an average of 80. What is the lowes

amm1812

Answer: She has to score a minimum of 92 marks to take her average to 80

Step-by-step explanation:

Let the equation be

Three months total = 76 x 3 = 228

(x + 228) / 4 = 80

x + 228 = 80 x 4

x = 320 - 228

x = 92

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3 years ago

The product of a rational and irrational number is _____ rational

Maksim231197 [3]

Answer:

The product of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that 3π is irrationa

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2 years ago

What is the simplified form of the expression? 9. (m^7)^2 a) 2m^14 b) m^49 c) m^9 d) m^14

kupik [55]

(m^7)^2 = m^(7 x 2) = m^14

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3 years ago

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Leya [2.2K]

Answer:

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Step-by-step explanation:

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3 years ago