Answer:
Step-by-step explanation:
I assume we are finding the slope of the line. It is positive since it runs from the lower left to the upper right, so forget B and D. Since slope is defined as rise over run, in order to get from one point on the line that goes through right where the grids meet to another point that goes through right where the grids meet we count up 1 unit and then to the right 6 units. This is a slope of 1/6.
Answer:
42
Step-by-step explanation:
f(-5) = -9 × (-5) - 3 = 45 - 3 = 42
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
Answer: 1/7
Step-by-step explanation:
solve for y
State the given in the question
Given that the sum of a number and 3 is subtracted from, the result is 5
State what is to be found in the question
We are to find the number. In other to achieve this, we would follow the steps below:
Step 1: Represent the number with an unknown
Let x represent the number
Step 2: Interpret the given statement mathematically
If x is the number, then the sum of the number and 3 would be

Then the sum of a number and 3 subtracted from 10 would be

Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be

Step 3: Solve for x in the mathematical interpretation of the given statement
The value of x is as calculated as shown below:

Hence, the number is 5
Answer:
The parabola is translated down 2 units.
Step-by-step explanation:
You have the parabola f(x) = 2x² – 5x + 3
To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:
f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1 <u><em>Expresion A</em></u>
The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.
- If p> 0 and q> 0, the parabola shifts p units to the right and q units up.
- If p> 0 and q <0, the parabola shifts p units to the right and q units down.
- If p <0 and q> 0, the parabola shifts p units to the left and q units up.
- If p <0 and q <0, the parabola shifts p units to the left and q units down.
In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.
This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.
In conclusion, <u><em>the parabola is translated down 2 units.</em></u>