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kenny6666 [7]
3 years ago
5

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

Mathematics
1 answer:
artcher [175]3 years ago
4 0
{-2,12} -D because 12x divided by 24 is -2 and 10x plus 2x is 12
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15 less than twice a number g is 19. Find g.
Helga [31]

Answer:

<h2>g = 17</h2>

Step-by-step explanation:

15 less than twice a number g is 19

2g - 15 = 19      <em>add 15 to both sides</em>

2g - 15 + 15 = 19 + 15

2g = 34       <em>divdie both sides by 2</em>

2g : 2 = 34 : 2

g = 17

4 0
3 years ago
Whats an inverse relationship?
musickatia [10]

Answer:

relationship between two variables such that when the value of one variable is high then the value of the other variable is probably low

Step-by-step explanation:

5 0
3 years ago
Question 3. Find the distance between P(4,5) and the line with equation 8x + 5y = 20​
earnstyle [38]

Answer:

Step-by-step explanation:

8x+5y = 20

y = (-8/5)x + 4

slope of the line is -8/5.

slope of any perpendicular to the line is ⅝.

line of slope ⅝ that passes through P(4,5):

y-5 = ⅝(x-4)

y = ⅝x + 2.5

find intersection of lines

⅝x + 2.5 = (-8/5)x + 4

25x + 100 = -64x + 160

89x = 60

x = 60/89, y = 260/89

distance between (60/89, 260/89) and (4,5) = 3.92

8 0
3 years ago
The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
2 years ago
A cell phone carrier offers two plans for text messaging. Plan A costs $20 per month plus s0.05 per text. Plan B costs $10 per m
jek_recluse [69]

Answer:

200

Step-by-step explanation:

7 0
3 years ago
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