The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below: 2|x − 6| + 14 = 38 What
2 answers:
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Answer:
Mother's Present Age = 36 years
Daughter's Present Age = 12 years
Step-by-step explanation:
Let present age of mother be "m" and present age of daughter be "d"
Mother is 24 years older than her daughter, so we can write:
m = 24 + d
8 years ago, Mother was 7 times old as daughter, that would be:
m - 8 = 7(d - 8)
Note, since 8 years ago, both "m" and "d" have 8 subtracted from it.
Now we substitute Equation 1 into Equation 2 and solve for d:
Mother age, m, would be:
m = 24 + d
m = 24 + 12
m = 36
Hence,
Mother's Present Age = 36 years
Daughter's Present Age = 12 years
<span>f(x) = −7(x + 12)² + 14</span>
the coordinates of the vertex are (-12;14)
f(x)=-7(x²+24x-144)+14
f(x)=-7x²-168x+1008+14
f(x)=-7x²-168x+1022=0
7x²+168x-1022=0
x=
=
=
=-12+-√290
x₁=-12-√290
x₂=-12+√290
Answer: the coordinates of the vertex are (-12;14),
horizontal intercepts are x₁=-12-√290, x₂=-12+√290
the coordinates of the vertex are (-12;14)
f(x)=-7(x²+24x-144)+14
f(x)=-7x²-168x+1008+14
f(x)=-7x²-168x+1022=0
7x²+168x-1022=0
x=
x₁=-12-√290
x₂=-12+√290
Answer: the coordinates of the vertex are (-12;14),
horizontal intercepts are x₁=-12-√290, x₂=-12+√290