Answer:
Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.
Step-by-step explanation:
After 2 hrs, the car has traveled 90 miles....that means the car travels 90/2 = 45 miles per hr. After 7 hrs...the car has traveled 7 * 45 = 315 miles
4 because 4 times 24 equals 96 then 96 divided by 3 equals 32
Distribute each term in one parenthesis to the other terms in the other parenthesis.
(x - 2) (2x + 3)
First, distribute x. When distributing, multiply
x(2x) = 2x²
x(3) = 3x
Next, distribute the other term, -2. Remember to change the signs.
-2(2x) = -4x
-2(3) = -6
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2x² + 3x - 4x - 6
Combine like terms
3x - 4x = -x
2x² - x - 6
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2x² - x - 6 is your answer
hope this helps
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
