Answer:
Solving for 2x - 3 = -x + 3
Standard form:
3x − 6 = 0
Factorization:
3(x − 2) = 0
Solutions:
x = 6
3
= 2
Step-by-step explanation: Think my Answer is Wrong or Right? Let me know!
Answer:
A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.
The principal square root 4 and its negative -4
The ordered pair (-3 ,
) is on g(x) ⇒ 1st answer
Step-by-step explanation:
Let us revise the reflection across the axes
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)
∵ 
∵ f(x) is reflected across the y-axis to create the function g(x)
- Change the sign of x
∴ 
To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it
∵ The coordinates of the point are (-3 ,
)
∴ x = -3 and y = 
- Substitute x by -3 in g(x)
∵ 
∴ 
∴ 
∵ 
∴ 
∴ 
- Divide up and down by 2
∴ 
∵ The value of g(x) equal to the y-coordinate of the point
∴ The point (-3 ,
) lies on g(x)
The ordered pair (-3 ,
) is on g(x)
Learn more:
You can learn more about the reflection in brainly.com/question/5017530
#LearnwithBrainly
Answer:
14 boys paid for the full year fee and 4 boys paid for the partial year fee
Step-by-step explanation:
Create a system of equations, where x is the number that paid for the $24 fee and y is the number that paid for the $16 fee:
24x + 16y = 400
x = y + 10
Solve by substitution by plugging in y + 10 as x:
24x + 16y = 400
24(y + 10) + 16y = 400
Solve for y:
24y + 240 + 16y = 400
40y + 240 = 400
40y = 160
y = 4
Then, plug in 4 as y to find x:
x = y + 10
x = 4 + 10
x = 14
So, 14 boys paid for the full year fee and 4 boys paid for the partial year fee.