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Natalija [7]
3 years ago
12

find the slope and y-intercept of the line that is parallel to y= -2x - 5 and passes through the point (-3,-3)

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Answer:

-9

Step-by-step explanation:

Slope is the same so y=-2x+b

Plug in x and y

-3=-2(-3)+b

-3=6+b

b=-9

(Y-intercept is -9)

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Jason and Jeremy work together at a juggling-ball factory. Jason lives 25 miles away from the factory and drives at 60 miles per
saul85 [17]

(a) Jason arrives at the factory first

(b) It takes 5 minutes until the other person arrives

Step-by-step explanation:

Jason and Jeremy work together at a juggling-ball factory

  • Jason lives 25 miles away from the factory and drives at 60 miles per hour
  • Jeremy lives 35 miles away from the factory and drives at 70 miles per hour
  • They leave their houses at the same time

We need to know who arrives at the factory first and how long it is until the other person arrives

Time = Distance ÷ speed

∵ Jason lives 25 miles away from the factory

∴ The distance = 25 miles

∵ He drives at 60 miles per hour

∴ The speed = 60 miles per hour

- Use the rule above to find the time

∵ Time = 25 ÷ 60 = \frac{5}{12} hour

∵ 1 hour = 60 minutes

∴  \frac{5}{12} hour =  

∴ Jason arrives to the factory in 25 minutes

∵ Jeremy lives 35 miles away from the factory

∴ The distance = 35 miles

∵ He drives at 70 miles per hour

∴ The speed = 60 miles per hour

- Use the rule above to find the time

∵ Time = 35 ÷ 70 = \frac{1}{2} hour

∵  \frac{1}{2} hour =  

∴ Jeremy arrives to the factory in 30 minutes

∵ They leave their houses at the same time

∵ 25 minutes < 30 minutes

∴ Jason arrives first

(a) Jason arrives at the factory first

∵ Jason arrives to the factory in 25 minutes

∵ Jeremy arrives to the factory in 30 minutes

∵ 30 - 25 = 5 minutes

∴ Jeremy arrives after Jason by 5 minutes

(b) It takes 5 minutes until the other person arrives

Learn more:

You can learn more about the rules of motion in brainly.com/question/2088710

#LearnwithBrainly

8 0
3 years ago
Evaluate each function.<br> 1) g(x) = x² + 2x; Find g(2)
zhuklara [117]

Answer:

g=x+2

Step-by-step explanation:

Let's solve for g.

gx=x2+2x

Step 1: Divide both sides by x.

gx/x = x2 +2x / x

<u>g=x+2</u>

<u />

6 0
3 years ago
Convert into an exponential expression
Sergio039 [100]

Answer:

Step-by-step explanation:

4 0
2 years ago
Which expression is equivalent to n + n - 0.18n?
horrorfan [7]

n + n - 0.18n

We can rewrite it as

2n - 0.18n

And if we solve it

(2 - 0.18)n = 1.82n

So the equivalente expression is B.

5 0
3 years ago
Read 2 more answers
yolanda makes 3 sweaters a day. she sews 6 buttons onto each sweaters she makes. how many buttons will she sew in 3 day​
KengaRu [80]
Yolanda will sew 54 buttons in 3 days.

If she sews 3 sweaters a day then, by the end of each day she will have 18. After three days she will have 54.

hope this helps and have an awesome day !
4 0
2 years ago
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