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3 years ago

Mr. Dyer recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work.

Mathematics

1 answer:

fgiga [73]3 years ago

4 0

Answer:

Step-by-step explanation:

70-70 /2 is 0

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Jessie has a box of 1,000 marbles. He has 75 yellow marbles, 230 red marbles, 331 blue marbles, and 364 green marbles. What frac

hammer [34]

On it ill give you all the details (or just the answer) so you can learn it by yourself

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3 years ago

Which situation can be modeled by the equation y=3x+25

Gnesinka [82]

For this case we have the following situation:

The monthly cost of a gym in the city is $ 3. The initial registration is $ 25. Write a mathematical expression that models the problem.

So we have to define variables:

x: number of months

y: total cost

The mathematical expression that models the problem is:

$y = 3x + 25$

7 0

3 years ago

How do you know that the systems of equations are consistent? How do you know that they are independent?

Shalnov [3]

Answer:

If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent.

Step-by-step explanation:

3 0

3 years ago

Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)

Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then y = 0

From this we can get 2 points on the curve, namely, (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes: y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B (divide both sides by 4)

0 = 4A + B

B = -4A ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B (divide both sides by 2)

-1 = 2A + B (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

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3 years ago

Which of the following is rewriting 272/3

Katen [24]

Answer:

how to reduce (simplify) fraction 272/3 to lowest terms? Write it as an improper fraction, a mixed number, a decimal number, a percentage

Step-by-step explanation:

7 0

2 years ago