Answer:
0.35
Explanation:
- P ( B and D )
- 0.5 * 0.7
- 0.35
<u>Follow the branch B and then branch D</u>
- multiply both the selected probabilities to calculate total probability.
Solve: Factor the following polynomial completely -9x^2-30x-25
2 answers:
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NOTES:
Use the equation y = mx + b where m is the unit rate and b is the one-time flat fee
1. Answer:
<u>Step-by-step explanation:</u>
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:
<u>Step-by-step explanation:</u>
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
<u>Step-by-step explanation:</u>
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
<u>Step-by-step explanation:</u>
Use the slope formula: . 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)
y - 70 = 20(x - 1)
y - 70 = 20x - 20
y = 20x + 50
Gym B: (x₁, y₁) = (1, 55) and (x₂, y₂) = (2, 80)
y - 55 = 25(x - 1)
y - 55 = 25x - 25
y = 25x + 30
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x + 5y = 10 into this form
Subtract x from both sides
5y = - x + 10 ( divide all terms by 5 )
y = - x +2 ← in slope- intercept form
with slope m = -
• Parallel lines have equal slopes, hence
y = - x + c ← is the partial equation of the parallel line
To find c substitute (1, 3) into the partial equation
3 = - + c ⇒ c =
y = - x +
← equation of parallel line