Answer:
The answer is "496"
Step-by-step explanation:
It begins at 0000 or finishes at 1111:
It's a Quadratic that doesn't have any real roots as the parabola doesn't cross the x-axis.
For graphing:
If you're familiar with the parabola of y=x^2, then you could graph that but just translate it upwards by +4 on the y such that f(x)+4 will be equal to it.
If you aren't, then we know the y-intercept is 4, and that's also the point of the minimum point of the curve. If I were you, I'd write a table of some of the integer values:
x y
-2 8
-1 5
0 4
1 5
2 8
The value of y is the same for x and -x as anything squared is positive.This means that there is a line of symmetry in the y-axis.
This then makes it much easier to graph, simply place these points on the graph and make sure the curve is exponential. This means the gradient (steepness) gets greater the bigger the value of x.
Answer:
Step-by-step explanation:
In order to solve for this equation we have to note a couple of things.
There is a diagonal square inside a larger square. The space formed by the smaller square not being in the larger square is a right triangle.
The side length of the smaller square (4) is also the hypotenuse of this triangle.
Since we know that the other side length of the triangle is 3, we can use the Pythagorean Theorem to find the value of b.
The Pythagorean Theorem states that 
, where a and b are the legs and c is the hypotenuse.
We can substitute 3 in as a and 4 in as c and find b.
So b is 
units long.
Hope this helped!
H+M=20
2H+4M=64 the 2 because hummingbirds have 2 feet and the 4 because mice have 4 feet
Answer:
y = 1x - 5
Step-by-step explanation:
We will use the slope equation for this: y = mx + b
y is our output/answer
m is our slope, or the rate of change
x is our x coordinate. For example, in (3,2) x would be 3.
b is our y intercept, or where the line passes through the y axis.
Knowing this, we can fill out the blanks.
when we look at one point on the grid, and then find the next closest number from the point we chose, we can see that the slope is 1 so we now have: y = 1x + b
to find b, we find where the line passes over the y axis which on our grid is -5. Normally we would write: y = 1x + 5 Since we have a negative 5 or -5, we will change the + to a -
This means we write y = 1x -5.
I hope this helps you and have a great day :D
