Answer:
- f(x) = 2x -2/3
- f(3) = 5 1/3
Step-by-step explanation:
We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.
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<h3>a.</h3>
We are given the equation ...
6x -3y = 2
Solving for y, we get ...
6x -2 = 3y . . . . . add 3y-2 to both sides
2x -2/3 = y . . . . . divide by 3
f(x) = 2x -2/3 . . . . write using functional notation
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<h3>b.</h3>
To find f(3), we use x=3 in the function.
f(3) = 2(3) -2/3 = 6 -2/3
f(3) = 5 1/3
Basically, unit rates are special ratios with two different terms with two different units.
1. 3 inches of rain in 6 hours
Answer: 3 inches:6 hours
2. 70 miles in 2 hours
Answer: 70 miles:2 hours.
It's easy!
Answer:
(3,2)
Step-by-step explanation:
when reflecting across the x axis the y value becomes - while the x value stays the same
The slope of this would be 15
Answer:
Hello your question is incomplete attached below is the complete question
Given: wxyz is a parallelogram, zx ≅ wy prove: wxyz is a rectangle what is the missing reason in step 7? a. triangle angle sum theorem. b. quadrilateral angle sum theorem. c. definition of complementary. d. consecutive ∠s in a ▱ are supplementary. 1. wxyz is a ▱; zx ≅ wy 1. given 2. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7. ? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm.
answer: consecutive angles of any parallelogram are supplementary
Step-by-step explanation:
The missing reason in step 7 is : consecutive angles of any parallelogram are supplementary i.e. m∠ZYX + m∠WXY = 180°
<u>Reason </u>: ZY || WX also XY is the transversal line hence ∠wyx and ∠wxy are the consecutive angles on lines ZY and WX therefore m∠ZYX + m∠WXY = 180° ( sum of consecutive angles )
