Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

40. given the function f(x)=6(3x - 5), if f(x)=42, what is x? a 3 b 4 c…

Question

  1. given the function f(x)=6(3x - 5), if f(x)=42, what is x?

a 3
b 4
c 5
d 6

  1. if a rectangle is drawn in the first quadrant and reflected over the y - axis, what quadrant is the new image in?

a i
b ii
c iii
d iv

Explanation:

Step1: Set up the equation

$6(3x - 5)=42$

Step2: Divide both sides by 6

$3x - 5=\frac{42}{6}=7$

Step3: Add 5 to both sides

$3x=7 + 5=12$

Step4: Divide by 3

$x=\frac{12}{3}=4$

For question 41: Reflecting a point $(x,y)$ over the y - axis gives $(-x,y)$. A rectangle in the first quadrant has $x>0,y>0$. After reflection over the y - axis, $x<0,y>0$ which is in the second quadrant.

Answer:

  1. B. 4
  2. B. II