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inysia [295]
3 years ago
7

The graph of a line and and exponential intersect twice, once, or not at all. Describe the possible number of intersections of e

ach of the following pairs of graph. Your solution to each part should include all of the possibilities and a quickly sketched example of each one. (Part 1)(SHOW WORK)
a. A line and a parabola

b. Two different parabolas
Mathematics
1 answer:
avanturin [10]3 years ago
4 0

a) A line can intersect a parabola at 2 points, 1 point, or no points respectively. The only possible way at which it intersects at 1 point, would be if it were tangent to the parabola. [Check first attachment]

b) Two different parabolas can intersect at 2 points, 1 point or no points respectively. [Check second attachment]

It is possible for 2 parabolas to intersect at 4 and even 3 points. But one of the parabolas would be on it's side. You can consider those cases.

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What do you know to be true about the values of a and b?
Ivanshal [37]

Answer:

I don't think there is a way the values can be determined...

5 0
3 years ago
Which of the following is a rational number?
Klio2033 [76]

Answer:

  √25

Step-by-step explanation:

  √25 = √(5²) = 5 . . . . a rational number

The other roots are not the roots of perfect squares, so are irrational.

5 0
3 years ago
The sales tax for an item was $15.60 and it cost $390 before tax. Find the sales tax rate. Write your answer as a percentage.
labwork [276]

Answer:

15.60 times 100 divided by 390=4%

Step-by-step explanation:

7 0
3 years ago
The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 112 miles in 3.5 ho
NARA [144]

Answer:

The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 112 miles in 3.5 hours, how many miles will Olivia travel in 8.9 hours at the same constant speed?

-----------------

Proportion:

x/8.9 = 112/3.5

---

x = 8.9(112/3.5)

x = 284.8 miles

=====================

Cheers,

7 0
3 years ago
Read 2 more answers
PLZ HELP ASAP!!!!! Show all work
Gnom [1K]

Answer:

a) 198.7% interest

Not too sure about answer to (b)

b) 4.75% annualized  

Step-by-step explanation:

a) i used Interest = Principal x Rate x Time

   40 = 525 x \frac{14}{365} x r

    40 = 20.13r

    r = 1.987 or 198.7%

b) i used this proportion:   \frac{1.98}{1/24} = \frac{x}{1}      'x' represents annualized rate

                                                             1/24 represents 2 weeks out of a year

1/24x = 1.98

x = 4.75%

4 0
3 years ago
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