Use Distributive Property to write 6×2-6×3 in factored form, Explain

Anyone know how to do this? If so plz help

bekas [8.4K]

NOTES:

Use the equation y = mx + b where m is the unit rate and b is the one-time flat fee

1. Answer:

$\begin {array}{c||c|c|c|c}x&0&1&2&3\\ y&70.00&70.20&70.40&70.60\\\end{array}$

Step-by-step explanation:

coffee maker costs $70 - this is a one-time flat fee

it costs $0.20 per cup of coffee - this is the unit rate

y = 0.20x + 70

y = 0.20(0) + 70 → y = 0.00 + 70 → y = 70.00

y = 0.20(1) + 70 → y = 0.20 + 70 → y = 70.20

y = 0.20(2) + 70 → y = 0.40 + 70 → y = 70.40

y = 0.20(3) + 70 → y = 0.60 + 70 → y = 70.40

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2. Answer:

$\begin {array}{c||c|c|c|c}x&1&2&3&4\\ y&4.50&6.00&7.50&9.00\\\end{array}$

Step-by-step explanation:

shoes costs $3.00 - this is a one-time flat fee

it costs $1.50 per game of bowling - this is the unit rate

y = 1.50x + 3.00

y = 1.50(1) + 3.00 → y = 1.50 + 3.00 → y = 4.50

y = 1.50(2) + 3.00 → y = 3.00 + 3.00 → y = 6.00

y = 1.50(3) + 3.00 → y = 4.50 + 3.00 → y = 7.50

y = 1.50(4) + 3.00 → y = 6.00 + 3.00 → y = 9.00

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3. Answer: Negative

Step-by-step explanation:

As the x-values increase, the y-values decrease. Opposite directions results in a negative slope.

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4. Answer: Gym A → y = 20x + 50 Gym B → y = 25x + 30

Step-by-step explanation:

Use the slope formula: $m = \dfrac{y_2-y_1}{x_2-x_1}$ . Then choose ONE of the points and input the point (x₁, y₁) and slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y.

Gym A: (x₁, y₁) = (1, 70) and (x₂, y₂) = (2, 90)

$m=\dfrac{90-70}{2-1} = \dfrac{20}{1} = 20$

y - 70 = 20(x - 1)

y - 70 = 20x - 20

y = 20x + 50

Gym B: (x₁, y₁) = (1, 55) and (x₂, y₂) = (2, 80)

$m=\dfrac{80-55}{2-1} = \dfrac{25}{1} = 25$

y - 55 = 25(x - 1)

y - 55 = 25x - 25

y = 25x + 30

5 0

2 years ago

Argue whether or not you believe using a sample of students from your school's cafeteria (you recruit the next 100 people to vis

hichkok12 [17]

Answer: A. Representative, since blood types are probably not different among students at the cafeteria compared to the U.S. population, B. Not representative, since students in the cafeteria may eat most of their meals at the cafeteria instead of eating fast food

Step-by-step explanation:

I Hope that this helps! :)

7 0

2 years ago

Suppose A and B are independent events if P(A) = 0.4 And P(B) = 0.1, what is P(A'uB)? APEX

Aloiza [94]

For Independent Events, P(A) × P(B) = P(A∩B)

so we have, P(A∩B) = 0.4×0.1 = 0.04

P(A') = 1 - 0.4 = 0.6

This information can be represented on a Venn diagram as shown below

P(A'∪B) means the union of everything that is not A with everything that is B

P(A'∪B) = 0.06 + 0.54 + 0.04 = 0.64

5 0

2 years ago

Please help Fast A parking lot contains motorcycles (2 Wheels) and cars (4 Wheels). There are 35 vehicles and 114 wheels. How ma

swat32

Answer: There will be 20 motorcycles and 26 cars

let me know if you want me to explain:)

Step-by-step explanation:

If you want to check multiply 26 by the amount of wheels on each car (4) to get 104 total car wheels, then multiply the 20 motorcycles by the wheels of each motorcycle (2) to get 40. Lastly add the 104 and 40 together to get 144 the total amount of wheels in the parking lot.

Hope this helps :)

3 0

2 years ago

Write an expression for the perimeter of the triangle shown in the picture

umka2103 [35]

Answer: x-5+5+5

Step-by-step explanation:

3 0

1 year ago