I haven't done these problems in a really long time, so there's a chance that my answer might be wrong. I hypothesize that the correct answer is C.
We can represent this situation by the equation 2x+4x+5x=33.
Then 11x=33, and x = 3.
Then the children's ages are in the ratio 2x:4x:5x, or 2(3):4(3):5(3), or
6:12:15.
Do these 3 ages add up to 33? 6 + 12 + 15 = 33? YES!
The children's ages are 6, 12 and 15 years respectively.
Answer:
X^2-2X+1=0
Step-by-step explanation:
given,2X-X^2=1
or,-(X^2-2X)=1
or,X^2-2X=-1
or,X^2-2X+1=0 ,which is the req.equation in standard form.
<h3>
Answer:</h3>
- x-intercept: 82.75
- y-intercept: -2.15
<h3>
Step-by-step explanation:</h3>
To find the x-intercept, set y=0 and solve.
... 0 = log(12x +7) -3
... 3 = log(12x +7) . . . . add 3
... 1000 = 12x +7 . . . . take the antilog. (10^3 = 1000)
... 993 = 12x . . . . . . . .subtract 7
... 82.75 = x . . . . . . . . divide by 12
To find the y-intercept, set x=0 and solve.
... y = log(12·0 +7) -3
... y = log(7) -3 . . . . . . simplify
... y ≈ 0.85 -3 = -2.15 . . . . use a calculator for the log function