Hello,
I believe the answer would be 5. Let me explain.
For the equation f(x) = -2x +3, I plugged in "-1" from the ordered pair into the equation as "x".
f(x) = -2 (-1) +3, and that would simplify to f(x) = 5,
so then y = 5.
Hope this helps!
May
A) 14.66
Arc length is equal to radius multiplied by the central angle in radians not degrees
I think i did it wrong but 1980 is what i got...i am unsure. hope that helped though:)
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
Let x = the number
Let c = the factor
You want
√(cx) = 2√x
Solve for c:
cx = 4x
c = 4
You need to multiply by 4 to double the square root. Have a great day!!