Answer:
3. - 8n² -8n + 3
Step-by-step explanation:
(4n^4 - 8n +4) - (8n² + 4n^4 +1)
Firstly, open the brackets.
= 4n^4 - 8n +4 - 8n² - 4n^4 - 1
Now, group like terms.
= 4n^4 - 4n^4 - 8n² -8n - 1 + 4
4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4
= - 8n² -8n - 1 + 4
= - 8n² -8n + 3
Answer:
1. 8.04
2. 20 feet
3. d
4. c
5. Ed = 4
Step-by-step explanation:
Pythagoras theorem
a² + b² = c²
4² + b² = 6²
16 + b² = 36
b² = 20
square root 20 = 4.47
6 ÷ 4.47 = 1.34
6 × 1.34 = 8.04
Answer:
x=
7
2
+
1
2
√69 or x=
7
2
+
−1
2
√69
Step-by-step explanation:
Step 1: Subtract 5 from both sides.
x2−7x−5=5−5
x2−7x−5=0
Step 2: Use quadratic formula with a=1, b=-7, c=-5.
x=
−b±√b2−4ac
2a
x=
−(−7)±√(−7)2−4(1)(−5)
2(1)
x=
7±√69
2
x=
7
2
+
1
2
√69 or x=
7
2
+
−1
2
√69
Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation
Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320
The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).
The formula you can use for this is y=2/3×-5
Where the y is the cost of cats food and x is the cost of the dogs food