Answer:
b = 5
Step-by-step explanation:
4 ( 3b + 2 ) - 5b = 43 Given
( 4 • 3b + 4 • 2 ) - 5b = 43 Distributive Property
12b + 8 - 5b = 43
12b - 5b + 8 = 43 Combine like terms
7b + 8 = 43
7b + 8 - 8 = 43 - 8 Subtraction Property of Equality
7b = 35
7b / 7 = 35 / 7 Division Property of Equality
b = 5
Answer:
The answer is D
You have to distribute the x to the 2x + 3 equation
This will result in 2x^2 + 3x
They are equal. 2/5 is 4/10.
To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.
SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.
To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.
To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.
Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.
Using the graph, we can see the equation for this line is
y=1/2x+1.5.