Answer:
$2x
Step-by-step explanation:
- x × 2 = 2x
I hope this helps!
Answer: The input values are B-number of hours (x).
The output values are C-charge for babysitting(y).
The value of $10 represents the B-y intercept.
The value of $8 represents the C-slope.
Step-by-step explanation:
Charges to drive to the home= $10
Additional charges per hour=$8
Let x be the hour she worked (independent variable) and y be the total charge for baby sitting (dependent variable)
Thus, the input values are number of hours (x) and the output values are charge for babysitting(y)
According to the situation the equation would be
y=8x+10
which is equivalent to the slope intercept form y=mx+c, where
m=8, slope of line
At x=0, y=10
Thus, $10 represents the y intercept
Answer:
To find a, b, and c, rewrite in the standard form ax2+bx+c=0ax2+bx+c=0.
a=1, b=3, c=0
The order of operations is:
Parentheses, Exponent, Division, Multiplication, Addition, Subtraction.
Or PEMDAS.
hope it helps!
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
