Hellllpppp! Please! I'm so tired I've been studying for hours! I don't think I can go on any longer!

Mathematics

1 answer:

son4ous [18]2 years ago

8 0

Answer:

23.) 120

24.) 62

25.) 84

26.) 64

27.) 121

28.) 112

29.) 65

30.) 78

Step-by-step explanation:

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Solve the polynomial inequality x^2-3x-10>0

djverab [1.8K]

As x² - 3x - 10 factors, we can use the zero product property and pull it apart into factors. It factors because 2 and 5 have a difference of 3 and product of 10

x² - 3x - 10 > 0

(x - 5)(x + 2) > 0

To find where the inequality is true, we use a sign test. When x-5 > 0, it means x >5, and 5 is one of our sign test values. Similarly, -2 is the other. We can then make three intervals - A (less than -2), B (between -2 and 5), and C (more than 5).

<--------------- -2 ------------------ 5 -------------------------->

A B C

To do a sign test, we choose values to see what happens. First, test x = -5.

(-5 - 5)(-5 + 2) = (-10)(-3) = 30. Because 30 > 0, the inequality is true for x < -2. So interval A is true.

Next, test x = 0.

(0 - 5) (0 + 2) = (-5)(2) = -10. Because -10 < 0 is false, the inequality is false for x > -2 and x < 5. So interval B is false.

Last, test x = 10

(10 - 5) (10 + 2) = (5) (8) = 40. Because 40 > 0 is true, the inequality is true for x > 5. So interval C is true.

We put the true intervals together.

(-∞, -2) ∪ (5, ∞) is where this inequality is true,

{x : x < -2 or x > 5} is also how it's said in set notation.

7 0

2 years ago

There is a bag with 50 popsicles inside. 5

Mkey [24]

Answer: $\frac{6}{25}$

In this case, we're asked to pick one of 12 blue popsicles out of a bag of 50 – from this, we can just write that the probability of picking a blue popsicle is 12/50. Simplifying this, we can divide both the numerator and denominator by 2 to get our final answer of $\frac{6}{25}$

Hope this helped you!

Step-by-step explanation:

5 0

3 years ago

ASAPPP! please help, POINTS!!

Bas_tet [7]

Answer:

C: 1.5

Step-by-step explanation:

For point D, the y value goes from 4 -> 6. This means that 4x = 6 , $x=\frac{6}{4} = 1.5$ .