Rational ! the number doesn't repeat forever or anything like that. it simplifies nicely.
Answer:
x=−18
Step-by-step explanation:
Let's solve your equation step-by-step.
x
3
+4=−2
Step 1: Simplify both sides of the equation.
1
3
x+4=−2
Step 2: Subtract 4 from both sides.
1
3
x+4−4=−2−4
1
3
x=−6
Step 3: Multiply both sides by 3.
3*(
1
3
x)=(3)*(−6)
x=−18
Answer:
<u>D) (f o g)(x) = 10x² - 60x + 93</u>
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>
We need the cross product of the two vectors.
a x b
=<2,-2,-3> x <3,2,2>
=
i j k
2 -2 -3
3 2 2
=<-4+6, -(4+9), 4+6>
=<2,-13,10>
The second vector is obtained by reversing the direction, namely <-2,13,-10>
Thus the two vectors are <2,-13,10> and <-2,13,-10>.