Answer:
x<7 or x>1
Step-by-step explanation:
The given inequality is
|x-4|<37
By the definition of the absolute value function, we get
x-4<3 or -(x-4)<3
We divide both sides of the inequality on the right by -1 and reverse the sign.
x-4<3 or x-4>-3
We add 4 to both sides of the equation to get:
x-4+4<3+4 or x-4+4>-3+4
x<7 or x>1
Answer:
x=1.816298 or x=−1.162524
Step-by-step explanation:
Step 1: Multiply both sides by x^2.
x2=x4−3x3+8x2−16
x2−(x4−3x3+8x2−16)=x4−3x3+8x2−16−(x4−3x3+8x2−16)(Subtract x^4-3x^3+8x^2-16 from both sides)
−x4+3x3−7x2+16=0
(Use quartic formula)
x=−1.162524,1.816298
Check answers. (Plug them in to make sure they work.)
x=1.816298(Works in original equation)
x=−1.162524(Works in original equation)
Answer:
the answer is a
Step-by-step explanation:
-4/5 is correct, since (-4/5)³ = -4*-4*-4/(5*5*5) = -64/125
Answer:
58.75 degreeF
Step-by-step explanation:
The initial temperature of the Soda = 40degreeF
The temperature outside is steady at 99 degreeF
The temperature of the soda became 50 degreeF after 8 minutes
In 8 minutes, the Soda gained
(50 - 40)degreeF
= 10 degreeF
If the soda gains 10 degreeF in 8 minutes, in 1 minute, it will gain 10/8degreeF
Therefore in 7 minutes, the soda will gain (10/8)*7
= 70/8
= 8.75 degreeF
The expected temperature of soda after an additional 7 minutes = 50 + 8.75
= 58.75degreeF