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gayaneshka [121]
2 years ago
8

PLEASE HELP ASAP!! WORDED QUADRATIC QUESTIONS!!!

Mathematics
1 answer:
Roman55 [17]2 years ago
4 0

Answer:

x² - 5x = 14

x = -2   or   x = 7

Step-by-step explanation:

x² - 5x = 14

x² - 5x - 14 = 0

(x+2)(x-7) = 0

x = -2   or   x = 7

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Why do you need to calculate mean, or modo of a set of data?
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3 years ago
Point S is on line segment RT. Given RS = 4x – 10, ST = 2x – 10, and
borishaifa [10]

Answer:

The numerical length of RS is 22 units

Step-by-step explanation:

∵ Point S is on the line segment RT

→ <em>That means S divide RT into two parts RS and ST</em>

∴ RS + ST = RT

∵ RS = 4x - 10

∵ ST = 2x - 10

∵ RT = 4x - 4

→ <em>Substitute them in the statement above</em>

∴ 4x - 10 + 2x - 10 = 4x - 4

→ <em>Add the like terms in the left side</em>

∴ (4x + 2x) + (-10 + -10) = 4x - 4

∴ 6x + (-20) = 4x - 4

∴ 6x - 20 = 4x - 4

→ <em>Add 20 to both sides</em>

∴ 6x -20 + 20 = 4x - 4 + 20

∴ 6x = 4x + 16

→ <em>Subtract 4x from both sides</em>

∴ 6x - 4x = 4x - 4x + 16

∴ 2x = 16

→ <em>Divide both sides by 2 to find x</em>

∴ \frac{2x}{2}=\frac{16}{2}

∴ x = 8

→ <em>Substitute the value of x in Rs to find its length</em>

∵ RS = 4(8) - 10

∴ RS = 32 - 10

∴ RS = 22 units

The numerical length of RS is 22 units

3 0
3 years ago
If the customer rolls the dice and rents a second movie every Thursday for 20 consecutive weeks, what is the total amount that t
VMariaS [17]

Answer:

The expected amount for a duration of 20 weeks is $9.4

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Step-by-step explanation:

Read attachment to understand the complete question

From the question, we have the following given parameters:

x = Amount paid for a second movie

E(x) = 0.47 --- Expected value of x

SD(x) = 0.15 --- Standard deviation of x

Required

Determine the total amount paid for a second movie for 20 weeks

The required implies that we calculate the expected value for a duration of 20 weeks.

i.e.

n = 20

If

E(x) = 0.47

Then:

E(nx) = n * E(x)

Substitute 20 for n

E(20x) = 20 * E(x)

Substitute 0.47 for E(x)

E(20x) = 20 * 0.47

E(20x) = 9.4

<em>Hence, the expected amount for a duration of 20 weeks is $9.4</em>

6 0
3 years ago
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