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STatiana [176]
2 years ago
5

Solve the inequality and express your answer in interval notation. x2 - 6 + 7 < 0

Mathematics
1 answer:
MAXImum [283]2 years ago
6 0

Answer: 15

Step-by-step explanation:

2×6=8

8+7 =15

2+7 =9

9

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A line has the equation 3x ? 4y = 1. Choose the equation of a line that is parallel to the given line.
cupoosta [38]

Answer:

Find a line which also has 3/4 as the slope or 3x - 4y in standard form.

Step-by-step explanation:

If the line is 3x - 4y = 1 then the line which is parallel will have the same coefficients of x and y. Parallel lines never cross and to ensure this have the same slope. The slope is a ratio which can be solved for in an equation using the coefficients of x and y. Here the slope is:

3x - 4y = 1

-4y = -3x + 1

y = 3/4x - 1/4.

Find a line which also has 3/4 as the slope or 3x - 4y in standard form.

7 0
3 years ago
Read 2 more answers
A campus has 55% male students. Suppose 30% of the male students pick basketball as their favorite sports compared to 20% for fe
krok68 [10]
This is question of probability finding using bayes theorem  
It is used to calculate probability of two competing statements 
now p(m) = .55 
p(~m)= .45 
now for basketball for male  
p(b|m)=.30
 and for female 
p(b|~m)=.20 
so by bayes theorem  
p(m|b)=p(b|m)*p(m)/(p(b|m)*p(m)+p(b|~m)*p(~m)) 
so answer is E 
(.55)(.30) / (.55)(.30) + (.45)(.20)
7 0
3 years ago
For every hour of exercise, Tina drinks 8 ounces of water. What is the ratio of hours to water
LuckyWell [14K]

Answer:

1:8

Step-by-step explanation:

1 hour for every 8 ounces gives a 1:8 ratio

7 0
3 years ago
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A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train trav
Soloha48 [4]

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

7 0
3 years ago
In the equation y = mx + b, the "b" is the y-intercept<br><br> True<br> False
DENIUS [597]

Answer:

False

Hope my answer helps you pls mark me as brainiest :)

7 0
3 years ago
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