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Aleksandr [31]
2 years ago
7

Jeff hiked for 2 hours and traveled 5 miles. If he continues at the same pace, which equation will show the relationship between

the time, t, in hours he hikes to distance, d, in miles? Will the graph be continuous or discrete?

Mathematics
2 answers:
lesya692 [45]2 years ago
5 0

Answer:

d

Step-by-step explanation:

Lady_Fox [76]2 years ago
3 0

Answer: The relationship between distance and time is d=2.5t and the graph is continuous.

Step-by-step explanation:

Since we have given that

Number of hours he hiked = 2 hours

Distance covered = 5 miles

Speed would be

\dfrac{Distance}{Time}\\\\=\dfrac{5}{2}\\\\=2.5\ mph

Let the distance be 'd'.

Let the time be 't'.

so, the relation between distance and time would be

distance=Speed\times time\\\\d=2.5t

The graph  is continuous because it is not based on counts and the points are  connected with a continuous line without any break.

Hence, the relationship between distance and time is d=2.5t and the graph is continuous.

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All of the following are rational numbers: .5, 7, V16<br> O True<br> O False
wel

Answer:

Your answer is: A) True

( I say true because 1) .5 2) 7 are rational) ( I dont know about v16, if that is what it is supposed to say, then I cant quite tell)

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Hope this helped : )

4 0
2 years ago
What annual rate of interest would you have to earn on an investment of $3500 to ensure receiving $273.00 interest after 1 year?
kogti [31]

To find the answer, we will have to find the percentage of $273 to $ 3500, and we can use the formula:

\frac{interest received}{investment amount} \times 100%

In this case:

273/3500 x 100%

=39/500 x 100%

=7.8%

Therefore the annual interest rate would be 7.8%.

Hope it helps!

8 0
3 years ago
Without solving determine the number of real solutions for each quadratic equation
snow_lady [41]

Step-by-step explanation:

b^2-4b+3=0

b²-3x-b+3=0

b(b-3)-1(b-3)=0

(b-3)(b-1)=0

either

b=3 or b=1

.

2n^2 + 7 = -4n + 5

2n²+4n+7-5=0

2n²+4n+2=0

2(n²+2n+1)=0

(n+1)²=0/2

:.n=-1

.

x - 3x^2 = 5+ 2x - x^2

0=5+ 2x - x^2-x +3x^2

0=5+x+2x²

2x²+x+5=0

comparing above equation with ax²+bx +c we get

a=2

b=1

c=5

x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1

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8 0
2 years ago
The graph of a quadratic function contains the points
masya89 [10]

Answer:

Shawn is correct.

Step-by-step explanation:

Let the quadratic function is g(x) = a(x - h)² + k

Here (h, k) is the vertex of the parabola.

Since this parabola passes through (0, 0), (1, 9) and (-1, 9), axis of symmetry is x = 0 and the vertex is (0, 0).

Therefore, equation of the parabola will be,

g(x) = a(x - 0)²+ 0

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for a point (1, 9) which lies on the graph,

9 = a(1)²

a = 9

g(x) = 9x² (here a > 1)

Therefore, f(x) is vertically stretched by a factor of 9 to form g(x).

Shawn is correct.

3 0
3 years ago
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