Step-by-step explanation:
plus Answer. work out 2 to 5 Questions
Answer: -2x^2+16x-24 ==> Option 3
Step-by-step explanation:
f(x) = x - 6 and g(x) = -2x + 4
f(x) • g(x)=(x-6)*(-2x+4)=
-2x^2+4x-(-12x)-24=
-2x^2+4x+12x-24= -2x^2+16x-24 ==> Option 3
Answer:
The best estimate for the solution of the system of equations is the ordered pair (7, 0.5)
Step-by-step explanation:
The way to solve this problem is to take a deep look into the picture, where we can see that the interception between the lines occurs right in x=7. thus, eliminating the first choice.
Next, we can see that the interception is somewhere far from the 'x' axis, hence 'y' variable can not be zero in this point.
Thus, we have our possible solution, without knowing anything else, the ordered pair (7, 0.5).
Remember, a system of equation has a solution when an interception occurs between its equations
Find 6 intervals to use:
We can use 0-4, 5-9, 10-14, 15-19, 20-24 and 25-29
Then count the numbers from the list in each group:
0-4 there are 5 numbers in this group
5-9 there are 3
10-14 there are 3
15-19 there are 5
20-24 there are 2
25-29 there are 2
Now create the histogram, with the vertical axis labeled from 0 to 5 and the horizontal axis labeled with your six groups:
See attached picture:
ANSWER
![B(2,-3)](https://tex.z-dn.net/?f=B%282%2C-3%29)
![C(-2,3)](https://tex.z-dn.net/?f=C%28-2%2C3%29)
EXPLANATION
The given point has coordinates A(-2,-3).
The rule for the reflection across the y-axis is
![(x,y)\to(-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%28-x%2Cy%29)
We apply this rule to obtain the coordinates of B.
![A(-2,-3)\to B(--2,-3)](https://tex.z-dn.net/?f=A%28-2%2C-3%29%5Cto%20B%28--2%2C-3%29)
Simplify the coordinates of B to get:
![A(-2,-3)\to B(2,-3)](https://tex.z-dn.net/?f=A%28-2%2C-3%29%5Cto%20B%282%2C-3%29)
The rule for reflection across the x-axis is
![(x,y)\to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%2C-y%29)
When the point A(-2,-3) is reflected across the x-axis to obtain C, then the coordinates of C are:
![A(-2,-3)\to C(-2,--3)](https://tex.z-dn.net/?f=A%28-2%2C-3%29%5Cto%20C%28-2%2C--3%29)
![A(-2,-3)\to C(-2,3)](https://tex.z-dn.net/?f=A%28-2%2C-3%29%5Cto%20C%28-2%2C3%29)