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iogann1982 [59]
2 years ago
8

25 POINTS, QUICKLY PLEASE!

Mathematics
1 answer:
Katarina [22]2 years ago
5 0

Answer:

1) y > x² + 4x - 5, y > x + 5

2) Rational

Step-by-step explanation:

For a parabola, if the shade is inside the curve then the value of y will be greater or equal to:

For a line, if the shade is above it then the value of y will be greater or equal to:

Therefore, since parabola doesn't have solid curve (--- graph) then the inequality is ">"

Therefore, the inequality for parabola is y > x² + 4x - 5

For a line, it does not have solid graph so the inequality is ">"

Therefore, the inequality for line is y > x + 5

-----------

The graph of function describes the shape of rational function. It cannot be exponential as exponential only has one curve. It cannot be logarithm  for same reason as exponential. It cannot be polynomial as polynomial is continuous function but the graph is discontinuous at specific point x = 0.

That being said, all choices except rational are all continuous function by default but rational function isn't and since the graph is discontinuous then we can say that it's rational function.

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A cyclist travels 20 miles in the same amount of time it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster
Anna11 [10]

Answer:

The speed of the cyclist is 10 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by cyclist = D_1= 20 miles

The distance cover by biker =  D_2 = 6 miles

The speed of biker = S_2 = s  mph

The speed of cyclist = S_1= 7 + s  mph

The time taken by both cyclist and biker =  t hour

Now. Distance = Speed × Time

So,  D_1 =   S_1 × t

Or, 20 = s × t

Or, t = \frac{20}{7+s}             .....1

And ,

D_2 =   S_2 × t

or, 6 = s t              

Or,  t = \frac{6}{s}  ....2

From Eq  1 and 2

I.e \frac{20}{7+s} = \frac{6}{s}

Or, 20 s = 6 ( 7 + s )

Or, 20 s - 6 s = 42

Or, 14 s = 42

∴   s = \frac{42}{14}

I,e s = 3 miles per hour

So, The speed of biker = S_2 = s = 3 miles per hour

And The speed of cyclist = S_1= 7 + s = 7 + 3= 10 miles per hour

Hence The speed of the cyclist is 10 miles per hour . Answer

4 0
3 years ago
Which expression is equivalent to (3x-6)(4x+1)
vodka [1.7K]

Answer:

12x^2 -21x -6

Step-by-step explanation:

(3x-6)(4x+1)

FOIL

first 3x*4x= 12x^2

outer 3x*1 = 3x

inner -6*4x = -24x

last  -6*1 = -6

Add them together

12x^2 +3x -24x -6

Combine like terms

12x^2 -21x -6

8 0
3 years ago
How would you do this question?
Katarina [22]

Answer:

plot the reflection by finding the corresponding points by pretending that y=x-6 is the x-axis, so like (4,-1), (0,-5), (0,-3)

Step-by-step explanation:

7 0
3 years ago
What is the least common denominator of 3/1+8/4
Ipatiy [6.2K]

Answer:

4355646

Step-by-step explanation:

45345

8 0
2 years ago
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Any time you inscribe a square in a circle or circumscribe a right triangle by a circle, which type of line or segment will alwa
pogonyaev

Answer:

Step-by-step explanation:

A diameter of the circle.

5 0
3 years ago
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