Answer:
6x5.04 =30.24
Step-by-step explanation:
I just multiplied.
Answer:
98
Step-by-step explanation:
Answer:
It is similar in that you have to move everything to one side and get rid of coefficients on the variable.
It is different in that you aren't solving for the actual numerical value of the variable and are just solving in terms of other variables.
Step-by-step explanation:
One step equations and literal equations both are similar because you have to move everything to the other side to isolate the variable, and also divide or multiply to get rid of any coefficients on the variable to solve it.
However, they are different because one-step equations actually need you to solve for the numerical value of the variable. On the other hand, literal equations aren't solved completely and are not numerical answers, it is just the variable solved in terms of other variables.
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
g (x + 5) = (x + 5) 2 + 3 (x + 5) - 4
Rewriting we have:
f (x) = x ^ 2 + 10x + 25 + 3x + 15 - 4
f (x) = x ^ 2 + 13x + 36
Equaling zero we have:
x ^ 2 + 13x + 36 = 0
We look for the roots of the polynomial:
(x + 9) (x + 4) = 0
x1 = -9
x2 = -4
Answer:
The zeros of the new function are:
x1 = -9
x2 = -4
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
