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2 years ago

What is the solution set of the equation

Mathematics

1 answer:

cupoosta [38]2 years ago

5 0

Answer:

Step-by-step explanation:

Given

x² + 3x - 4 = 6 ( subtract 6 from both sides )

x² + 3x - 10 = 0 ← in standard form

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)

The factors are + 5 and - 2, since

5 × - 2 = - 10 and 5 - 2 = + 3, thus

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

solution set is { - 5, 2 } → A

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ddd [48]

Answer:

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2 years ago

A line going through the points (-3, -10) with a slope m = 1/4.

vfiekz [6]

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2 years ago

if a pair of standard dice are rolled what is the probability that one die shows a six but not both of them. reduced fraction an

Novay_Z [31]

Answer:

$P=\frac{5}{18}$

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space

y-----> size of the sample space

if a die is rolled the sample space is

$\{1,2,3,4,5,6\}$

if two dice rolled the sample space is

$\{1,2,3,4,5,6\}*\{1,2,3,4,5,6\}$

The possible pairs are

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The size of the event space x is

$\{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$x=10$

$P=\frac{x}{y}$

substitute

$P=\frac{10}{36}$

Simplify

$P=\frac{5}{18}$

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2 years ago