Answer:
-15a^2+20ab
Step-by-step explanation:
Given data
We are given the expression
(-3a + 4b) to be multiplied by 5a
hence we have
(-3a + 4b)*5a
open bracket
-15a^2+20ab
Hence the answer is
-15a^2+20ab
A math expression is anything where you take one or more numbers and add them, subtract them, multiply, divide, etc etc
For example, 2+3 is a math expression
To make it an algebraic expression, we replace one of the numbers with a variable. Often this is the letter x. So let's say we replace the 2 with x. That would have the expression turn into x+3. What we're saying is "some number plus 3"
Normally 2+3 = 5 which is a true equation. Replace the 2 with x and we have x+3 = 5. So we're saying "some number plus 3 is 5". You can guess and check to find that the "some number" has to be 2
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In summary, the expression example was x+3 and the equation was x+3 = 5
Note: an equation is simply two expressions set equal to each other.
There are many ways to graph this,
You could either make table of values and get points in order to plot the graph easily, for this one you basically just plug in values such as -2, -1, 0, 1, 2 into the equation for x. You should get values for y and in turn be able to graph it.
You could also use a much easier method, using the equation, you could first get the y-int, this would be b so that would be one of your point. Then you could do the step method with your slope. RISE / RUN so from the point that you have you go how many units it says you to go, for this one you go 3 units up and 2 units left. If it is negative you should act accordingly.
Answer:
y = x + 5
Step-by-step explanation:
Find any two points:
(1, 6)
(2, 7)
Slope = (y2 - y1) / (x2 - x1)
S0:
7 - 6 / 2 - 1
1 / 1
So slope = 1
Equation:
y = mx + b
Plug in the numbers using the x and y of any points:
7 = m * 2 + b
Add m (which is the slope):
7 = 1 * 2 + b
7 = 2 + b
Subtract two from both sides:
5 = b
So our equation is:
y = x + 5
Please let me know if I've done anything wrong!