x= −29/4
Answer:
Step-by-step explanation:
−7(x+2)=−3(x−5)
Step 1: Simplify both sides of the equation.
−7(x+2)=−3(x−5)
(−7)(x)+(−7)(2)=(−3)(x)+(−3)(−5)(Distribute)
−7x+−14=−3x+15
−7x−14=−3x+15
Step 2: Add 3x to both sides.
−7x−14+3x=−3x+15+3x
−4x−14=15
Step 3: Add 14 to both sides.
−4x−14+14=15+14
−4x=29
Step 4: Divide both sides by -4.
−4x −4
x=29/−4
x= −29/4
The format of a line equation is y = mx + b
When two lines are parallel, their 'm' variables are equal.
Knowing this, the unknown line equation, so far, would look like this:
y = 9x + b
Since we know that the line equation goes through the point (2, 7)
7 = 18 + b
b = -11
y = 9x - 11
Consider the system of inequalities
1. Plot all lines that are determined by equalities (see attached diagram)
2. Determine which bounded part of the plane you should select:
- means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
- means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
- for you can check where the origin is placed. Since , the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
- for you can check where the origin is placed. Since , the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
3. According to the previous explanations, the shaded region is as in A diagram.
Answer: correct choice is A.
Answer:
5x+ 4
Step-by-step explanation:
First, put all of the x variables together. So 3x+4x=7x
7x + 4 -2x Since the 2x is negative you can subtract it from 7x and get 5x.
you can not add the four to the 5x because it does not have a matching variable.
So, you have: 5x+ 4
Answer:
It's D.
Step-by-step explanation:
The graph of tan x passes through (0,0) whereas this graph passes through the point (pi/4 , 0) so it a horizontal translation to the right. We see that the period is 6 units along the x axis which is 6 * pi/4 = 3 pi/2.