Johnny puts his quarter in the vending machine and gets a piece of candy.

Mathematics

1 answer:

Alex73 [517]3 years ago

4 0

Answer:

Great job Johnny now you're down 25 cents.

Step-by-step explanation:

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PLEASE HELP god bless Justify each step of the solution by stating the property that was used to get to each step. Given: 4(-6x

baherus [9]

4(-6x – 3) + 24x = -72x + 132

Step 1 -24x – 12 + 24x = -72x + 132 Distribute Property of Equality

Step 2: –12 = -72x + 132 equivalent

Step 3: -144 = -72x Subtraction Property of equality

Step 4: 2 = x Equivalent / Division property of equality

6 0

4 years ago

How many real roots does the function

icang [17]

Answer:

Option C is correct i.e. 2.

Step-by-step explanation:

Given the function is f(x) = x² +8x -2.

We can compare it with general quadratic expression i.e. ax² +bx +c.

Then a = 1, b = 8, c = -2.

We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-

D = b² -4ac

D = 8² -4*1*-2

D = 64 +8

D = 72.

When D is a positive value, then we have two real roots of the equation.

Hence, option C is correct i.e. 2.

6 0

3 years ago

A group of college students developed a solar-powered car and entered it in a race. The car travels at a constant speed of 100 m

nekit [7.7K]

Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.