Answer:
10x² - 12
Step-by-step explanation:
4x² - 7 + 6x² - 5 (combine like terms)
10x² - 12
Answer:
A) it is constant
B) x-intercept=2
C) y-intercept=4
D) absolute maximum is positive infinity
E) absolute minimum is negative infinity
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
Answer:
6
Step-by-step explanation:
Follow the PEMDAS rule.
Parentheses
Exponent
Multiplication
Division
Addition
Subtraction
By following that rule, you know that you have to take care of the exponent first. 1/2 to the fourth power is 1/16. Then the next step in pemdas is to multiply that with 48, which is 3. The you subtract 3 from 9.
Hope this helps <3
Answer:

Step-by-step explanation:
Given





Required
Find the constant of variation
From the question, the variation is as follows



Convert variation to equation

Where k represents the constant of variation
Make k the subject of formula;
Multiply both sides by s * t


Divide both sides by p



Substitute the values of p, r, s and t in the above equation


Divide numerator and denominator by 6

Hence, the constant of variation is; 