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3 years ago

Which of the following points is in the solution set of y < x^2 - x - 6?

Mathematics

2 answers:

boyakko [2]3 years ago

8 0

Answer:

(3,-2) not given in the options.

Step-by-step explanation:

The points may be determined by solving the quadratic equation. This can be done through the factorization method with y equated to 0.

It means that

x^2 - x - 6 = 0

x^2 - 3x + 2x - 6 = 0

x(x - 3) +2 (x - 3) = 0

(x - 3)(x + 2) = 0

x = 3 or -2

kherson [118]3 years ago

6 0

The answer is (-2, -1), because when substituted in the expression is correct:
-1 < 4 - -2 - 6
-1 < 6 - 6
-1 < 0

I hope this helps!

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Twelve more then the product of 5 and a number x? x is 2

yaroslaw [1]

Answer:

Step-by-step explanation:

5 * 2 = 10

10 + 12 (because 12 more)

=22

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2 years ago

Use f(x) = 1

Nookie1986 [14]

Answer: f-1x(fx2) answer = -f

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2 years ago

The ratio of two numbers is $2:3$. when 6 is subtracted from the smaller of the two numbers and 7 is added to the larger of the

patriot [66]

Answer:

Step-by-step explanation:

Let the smaller and larger numbers be represented by S and L, respectively.

S/L = 2/3 . . . . the original ratio of the numbers

3S = 2L . . . . . multiply by 3L

(S-6)/(L+7) = 2/7 . . . . the new ratio of the numbers

7(S-6) = 2(L+7) . . . . . multiply by 7(L+7)

7S -42 = 2L +14

Using the expression for 2L from the first ratio, we can substitute to get ...

7S -42 = 3S +14 . . . . substitute 3S for 2L

4S = 56 . . . . . . . . . . .add 42-3S

S = 14 . . . . . . . . . . . . . divide by 4

The original smaller number was 14.

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2 years ago

A baseball player has a batting average of 0.260. Suppose that you observe successive at-bats of the player and note for each at

Georgia [21]

Answer: Our required probability is 0.278.

Step-by-step explanation:

Since we have given that

Probability that a player has a batting average = 0.260

Probability of success = 0.260

Probability of failure = 1-0.260 = 0.74

Number of times at bat = 4

Probability that the player will get two or more hits in his next four times at bat is given by

$P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\\P(X\geq 2)=^4C_2(0.26)^2(0.74)^2+^4C_3(0.26)^3(0.74+^4C_4(0.26)^4\\\\P(X\geq 2)=0.278$

Hence, our required probability is 0.278.

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3 years ago

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True [87]

Answer:

1 3/4

Step-by-step explanation:

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2 years ago