Answer:
The second graph.
Step-by-step explanation:
The first piece of the piecewise function is g(x) = -2x, and it is on the part of the domain defined by x < -2. This means that the point at -2 will not be filled in, since it is strictly less than and not less than or equal to. It also means that the graph will be a line with a slope of -2 from this point backward; this means going backward, the graph will go up two and backward 1.
The second piece of the piecewise function is g(x) = -x². This will be an upside-down parabola (u-shaped graph) that passes through (-1, 1), (0, 0) and (1, -1). It is for the piece of the domain including -2 and going up to but not including 1; this means the left endpoint will be filled in and the right will not.
The third piece of the piecewise function is g(x) = x. This is a straight line with a slope of 1, meaning it goes up 1 and over 1. It is for the part of the domain including 1 and going to the right. This means the endpoint will be filled in.
A long decimal of 0.0423949037591
Mark brainliest!!!
No,
Because it can't be split into halves,thirds or quarters etc.
Answer:
y = -2x + 12
Step-by-step explanation:
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
I will use the first point (1, 10) and the last point (5, 2)
Plug in these values:
(2 - 10) / (5 - 1)
Simplify the parentheses.
= (-8) / (4)
Simplify the fraction.
-8/4
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the last point (5, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -2(5) + b
To find b, multiply the slope and the input of x(5)
2 = -10 + b
Now, add 10 to both sides to isolate b.
12 = b
Plug this into your standard equation.
y = -2x + 12
This is your equation.
Check this by plugging in the other point you have not checked yet (1, 10).
y = -2x + 12
10 = -2(1) + 12
10 = -2 + 12
10 = 10
Your equation is correct.
Hope this helps!
Answer: 6 sweaters, 3 pairs of shoes, 1 pair of jeans
Step-by-step explanation:
1 sweater costs $25, so 6 sweaters is 25x6=150
1 pair of shoes is $20, so 3 is 20x3=60
and 1 pair of jeans is $50.
$150+$60+$50=$260.
To find the answer all you need to do is find the right combination, so you just need to use a bit of thinking skills and patience.