Answer:
f(x) = 3x² - 15x + 12
Step-by-step explanation:
Given f(x) has roots x = a and x = b, then
(x - a) and (x - b) are the factors
f(x) is then the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = 4 and x = 1, then
(x - 4) and (x - 1) are the factors
With a = 3, then
f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL
= 3(x² - 5x + 4) ← distribute
= 3x² - 15x + 12
x-y=13
x=13+y--(1)
4x+2y=10
2x+y=5
26+2y+y=5
3y=-21
y=-7
Substituting value of y in equation (1)
x=13-7
x=6
Answer:
Elizabeth because 45 is greater than 55 min.
Step-by-step explanation:
9514 1404 393
Answer:
1/8
Step-by-step explanation:
The least common multiple of 6, 8, and 3 is 24. That will be the common denominator:
1/6 +5/8 -2/3
= 4/24 +15/24 -16/24
= (4 +15 -16)/24 = 3/24
= 1/8
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<em>Alternate solution</em>
You can take advantage of the commutative property of addition and the distributive property to rewrite the problem as ...
5/8 -(2/3 -1/6)
= 5/8 - (4/6 -1/6) . . . . use a common denominator of 6
= 5/8 -3/6
= 5/8 =1/2 . . . . . . . simplify
= 5/8 -4/8 . . . . . . use a common denominator of 8
= 1/8
There are two such numbers.
One of them is 2 + 9.5 = 11.5.
The other one is 2 - 9.5 = -7.5.
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If we consider "9.5 units from 2" to be 9.5 units in the positive direction, then the appropriate choice is 11.5.
