Answer:
x=4
Step-by-step explanation:
Simplifying
-1(7 + -4x) = 9
(7 * -1 + -4x * -1) = 9
(-7 + 4x) = 9
Solving
-7 + 4x = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4x = 9 + 7
Combine like terms: -7 + 7 = 0
0 + 4x = 9 + 7
4x = 9 + 7
Combine like terms: 9 + 7 = 16
4x = 16
Divide each side by '4'.
x = 4
Answer:
The correct option is 3. The rate of change in the function 
is less than the rate of change of the function represented in the table.
Step-by-step explanation:
The given table represents a function.
Choose any two points from the table. The two points are (0,-5) and (2,1).
Slope of a line is
Slope of the function that is represented by the table, is
Therefore the rate of change of function is 3.
The given function is
It is a slope intercept form of a line.
Where m is the slope and b is y-intercept.
Therefore the slope of the given function is 1.
Since 1<3, therefore rate of change in the function is less than the rate of change of the function represented in the table. Option 3 is correct.
Yes,it's the correct shape.
Answer:
(-78/29, -619/29)
Step-by-step explanation:
Since both equations are equal to y we can set them equal to each other
15x+19 = 1/2x - 20
Subtract 1/2x from each side
15x -1/2x +19 = -20
Subtract 19 from each side
14 1/2 x +19-19 = -20-19
Changing to an improper fraction
29/2 x = -38
Multiply each side by 2/29
x = 2/29 * -38
x = -78/29
Now find y
y = 1/2x - 20
y = 1/2 (-78/29) -20
y = -39/29 - 20
Get a common denominator
=-39/20 - 580/29
= -619/29
-39/29 -580/29
