Answer:
The quadratic equation is: 
Step-by-step explanation:
If the roots of the quadratic equation are "-6" and "6", then it must have the following factors: 
Therefore, we can write the equation in factor form as:
where a is a real number constant factor. Now, this equation in standard form will look like:
Therefore, using the information about the leading coefficient being "1" (one), we derive that the constant factor 
must be "1". The final expression for the quadratic becomes:
Answer for problem 46 is choice A
Answer for problem 47 is choice B
Answer for problem 48 is choice E
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Work Shown
Problem 46
Equation 1: 3x+y = 17
Equation 2: x+3y = -1
Add equation 1 to equation 2 to get 4x+4y = 16. Divide every term by 4 to get x+y = 4. Then finally multiply both sides by 3 to get 3x+3y = 12
That shows why the answer is choice A
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Problem 47)
If y hours pass by, then y-(2/3)y=y/3 is the time value (2/3)y hours ago
So,
Distance = rate*time
d = r*t
d = x*(y/3)
d = (xy)/3
That's why the answer is choice B
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Problem 48)
Let L1,L2,L3 be the three lists where
L1 = {a1,a2,a3,...,ak} there are k scores here
L2 = {a1,a2,...,a10} there are 10 scores here
L3 = {a11,a12,...,ak} the remaining k-10 scores
S(L1) = sum of the scores in list L1
M(L1) = mean of L1 = 20 = S(L1)/k
M(L2) = mean of L2 = 15 = S(L2)/10
S(L1) = 20k
S(L2) = 150
S(L1) = S(L2)+S(L3)
M(L1) = [S(L2)+S(L3)]/k
20 = [150+S(L3)]/k
20k = 150+S(L3)
S(L3) = 20k-150
M(L3) = [S(L3)]/(k-10)
M(L3) = (20k-150)/(k-10)
So that shows why the answer is choice E
Answer:
x = 89
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
45 = 1/2 AB
90 = arc AB
Angle Formed by Two Chords
= 1/2 ( sum of Intercepted Arcs)
x = 1/2 ( 88+ 90)
x = 1/2 (178)
x = 89
Answer:
77 ft²
Step-by-step explanation:
Given that:
Surface Area of larger pyramid = 539 ft²
Scale factor of the smaller pyramid = 1/7
Tbe surface area of the smaller pyramid will be :
Scale factor * surface area
1/7 * 539ft²
= 539 ft² / 7
= 77 ft²
<span>A number is divisible by 6 if it is even and divisible by 3. Consider 234. This is an even number. The sum of the digits is 9. It is divisible by 3, which is divisible by 6</span>
Yes, 234 divisible par 6
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