Answer: 14. The three consecutive numbers are 12, 14 and 16.
15. An example of equation whose solution is 5 is given below
2X — 20 = X — 15
Step-by-step explanation: please see attachment for explanation.
2.
3. The polynomial has 4 terms.
The degree of the polynomial is that of the largest sum of degrees of the variables in any term. That sum is 3+1=4 in the second term. The degree of this polynomial is 4.
4. f(g(x)) = g(x)² +1 = (2x-3)² +1
... f(g(x)) = 4x² -12x +10
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Of course, you're familiar with the square: (a+b)² = a² +2ab +b² so you have no problem finding the result when a=2x, b=-3.
Consecutive odd integers means that the equation is
(x)+(x+2)+(x+4)+(x+6)+(x+8)=-65
add like terms
5x+20=-65
subtract 20 from both sides
5x=-85
divide both sides by 5
x=-17
so x+2=-15
x+4=-13
x+6=-11
x+8=-9
so they are (-9,-11, -13, -15, -17)
Answer:
2/3
Step-by-step explanation:
The first place finishers can be divided into two groups: those who went to Ohio State, and those who did not attend Ohio State.
2/5 of the first place finishers went to Ohio State. 1/2 of these were women, which means 1/2 were men. The fraction of first place finishers who went to Ohio State AND were men is:
1/2 (2/5) = 1/5
3/5 of the first place finishers did not attend Ohio State. 2/9 of these were women, which means 7/9 were men. The fraction of first place finishers who did not attend Ohio State AND were men is:
7/9 (3/5) = 7/15
So the fraction of first place finishers who were men is:
1/5 + 7/15
= 3/15 + 7/15
= 10/15
= 2/3
Answer:
Step-by-step explanation: