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2 years ago

Which graph represents a function?

Mathematics

1 answer:

Helga [31]2 years ago

5 0

Answer:

None of those 3 pictures

Step-by-step explanation:

To determine if the graph is a function, do the vertical line test. If the line goes through just 1 point, it is a function. If not, then it is not a function.

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Write the exponential equation for this scenario. Mike buys a car for $45,000.00. The cars value depreciates (loses value) at a

gladu [14]

Answer:

$A=45000(0.82)^t$

Step-by-step explanation:

Given data

P= 45,000

rate= 18%

Recall the expression for the compound interest

$A=P(1+r)^t$

Since we are talking of depreciation

$A=P(1-r)^t$

Substitute

$A=45000(1-0.18)^t\\\\A=45000(0.82)^t$

Hence the exponential function is

$A=45000(0.82)^t$

6 0

2 years ago

Ryan bought 3 books and a magazine . He paid $30 and relieved $5 change if the magazine cost twice as much as each book, find th

Montano1993 [528]

The books are $5, and the magazines are $10. I’m not sure which way you want it explained but since magazines are twice the price of books, you can solve the equation 3b + 2b = 25. This gives you b=5 which you just multiply by 2 giving you the price of a magazine.

8 0

2 years ago

Read 2 more answers

I need help with this question. Melissa is baking a birthday cake for her best friend and the preparation time is 12 minutes, wh

Otrada [13]

Answer:

I put all the steps down. I don't know which one you want. I hope you understand it now.

Step-by-step explanation:

b = baking time

p = preperation time

p = 1/3b

12 = 1/3b

b = 12*3

b = 36 minutes

5 0

1 year ago

What is the equation of a sphere?

Charra [1.4K]

Answer:The general equation of a sphere is: (x - a)² + (y - b)² + (z - c)² = r², where (a, b, c) represents the center of the sphere, r represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.

Step-by-step explanation:

8 0

2 years ago

A sprinter who weighs 706 N runs the first 5.5 m of a race in 1.6 s, starting from rest and accelerating uniformly. What are the

zhenek [66]

Answer:

(a) Speed = 6.875 m/s

(b) Kinetic Energy = 1.70 kJ

Step-by-step explanation:

Given:

d = 5.5 m

t = 1.6 s

W = 706 N

Part (a)

Using the equation of motion with the assumption of zero initial speed:

$d = \frac{1}{2} ({v-0})t$

$5.5= \frac{1}{2} (1.6v)$

The speed of the sprinter then become:

$v = 6.875 m/s$

Part (b)

Convert the weight of the sprinter to mass:

$m = \frac{w}{g}$

$m = \frac{706}{9.8}$

$m = 72 kg$

KE (Kinetic Energy) can then be calculated as:

$KE = \frac{1}{2} mv^{2}$

$KE = \frac{1}{2} (72)(6.875)^{2}$

$KE = 1701.56 J = 1.70 kJ$

Part (c)

The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as

$P = \frac{KE}{t} \\\$

$P = \frac{1701.56}{1.6}$

$P = 1063.48 W = 1.06 kW$

5 0

2 years ago