Answer:
D. The minimum y-value of g(x) approaches -3
Step-by-step explanation:
Form a table for values of x with corresponding values for f(x) and g(x)
<u>x </u> <u>f(x)=3x²-3 g(x)=2^x -3 </u>
-3 =3(-3²)-3=24 2⁻³ -3 = -2.88
-2 =3(-2²)-3=9 2⁻² -3 = -2.75
-1 =3(-1²)-3=0 2⁻¹-3 = -2.5
0 =3(0²)-3= -3 2⁰ -3 = -2
1 =3(1²)-3=0 2¹ -3 = -1
2 =3(2²)-3=9 2²- 3 = 1
3 =3(3²)-3=24 2³ -3= 5
From the table above, you can see the minimum value of y in g(x) -2.88 approaches -3
The answer is 35.08. she will have 35.08 yards of cloth left.
Answer:
x = -6 , -2
Step-by-step explanation:
Find factors of x² and 12, in which, when combined, will give 8x:
x² + 8x + 12 = 0
x 6
x 2
(x + 6)(x + 2) = 0
Check. Use the FOIL method:
First, combine the first terms: x * x = x²
Next, combine the outside terms: x * 2 = 2x
Then, combine the inside terms: 6 * x = 6x
Finally, combine the last terms: 6 * 2 = 12
Combine like terms: x² + (2x + 6x) + 12
x² + 8x + 12
Solve for the solutions. Set each parenthesis equal to 0:
(x + 6)(x + 2) = 0
(x + 6) = 0
(x + 2) = 0
Isolate the variable x. Subtract 6 & 2 from both sides for their respective equation:
x + 6 = 0
x + 6 (-6) = 0 (-6)
x = 0 - 6
x = -6
x + 2 = 0
x + 2 (-2) = 0 (-2)
x = 0 - 2
x = -2
x = -6 , -2
~
Answer: 5.85 x 10 to the power of 6
Step-by-step explanation: