Answer:
PEMDAS is a great way to figure this out!
P - Parenthesies
E - Exponents
M - Multiplcation
D - Division
A - Addition
S - Subtraction
Follow this order and you should be good to go! Here's how I would follow this in this equation.
11x-2-3(1-7x)^2+(x+1)
First, parentheses
The 3 directly next to the parenthesies shows that everything inside of the () needs to be multiplied by 3.
-3*1 and -3*-7x (don't forget the negative)
This gives us 11x-2+(-3+21x)^2+(x+1)
Now distribute the exponents to everything inside of the parentheses.
11x-2+-3^2+21x^2+(x+1)
now solve the numbers with exponents without a variable.
3^2 = 3*3 = 9
combine any numbers without a variable outside of parentheses
11x-2+9+21x^2+(x+1)
11x+7+21x^2+(x+1)
From here, what I would do is divide the whole equation by 2
5.5x+3.5+21x+(.5x+.5)
now combine x values outside of parentheses
3.5+26.5x+(.5x+.5)
I believe this would be the simplest form, but please do correct me if I'm wrong or made any errors
Answer:
y = -3x - 1
Step-by-step explanation:
The slope intercept form of the equation of a line is:
y = mx + b
where m is the slope, and b is the y-intercept.
First, we find the slope of the line using the two given points.
m = slope = (y2 - y1)/(x2 - x1) = (2 - (-7))/(-1 - 2) = (2 + 7)/(-3) = 9/(-3) = -3
Now we plug in the slope we found into the equation above.
y = -3x + b
We need to find the value of b, the y-intercept. We use the coordinates of one of the given points for x and y, and we solve for b. Let's use point (2, -7), so x = 2, and y = -7.
y = -3x + b
-7 = -3(2) + b
-7 = -6 + b
Add 6 to both sides.
-1 = b
Now we plug in -1 for b.
y = -3x - 1
Answer:
A. (-1, 3)
Step-by-step explanation:
To solve, find which point in the options are in the double shaded region (the region that is shaded the darkest which is the region above the point where the lines cross).
A. (-1, 3) is the correct answer because it falls in the correct region.
B. (-4, 1) is not the correct answer because it does not fall ABOVE both lines like the question says.
C. (0, 1) is not the correct answer because it falls in the 2nd darkest region.
