Doubles are adding the same number together, as with 5+5=10.
With doubles +1, the numbers must be in beside each other in counting order going up or down (ex: 4, 5, 6 and 9, 8, 7). Do the SMALLEST number, double it, then add one. So, 9+8 would be 8+8=16, +1=17. You must know your doubles facts before this strategy is useful.
<span>Please, post only one question at a time.
The line passing through (1,4) and (-4,-1) has the following slope:
-1 - 4 -5
m = ------------ = -------- = +1
-4 - 1 -5
Find the slope of the line passing thru the other set of points. Graph both lines. What do you see? Do the 2 lines have any particular relationship to one another?
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21x³ - 18x²y + 24xy²
Simplify!
7x³ - 6x²y + 8xy²
Hello there!
There are two ways to find the minimum value of this function, but before I show you how, I am going to teach you a little bit about minimum value.
The minimum value on a parabola is the vertex or turning point. This means that the slope of the tangent line is horizontal, having a slope of 0.
The algebraic way to find the minimum or maximum value on a parabola is to use the formula -b/2a. Let's do it...
y=4x^2+4x-35
where a=4, b=4, and c=-35
-b/2a
-4/2(4)
-4/8
-1/2
Now let me show you the other way...
Take the derivative of
y=4x^2+4x-35
y'=8x+4
And set it equal to 0...
8x+4=0
8x=-4
x=-1/2
We got the same answer. Now that we know x=-1/2, plug this into the original equation to find y.
y=4x^2+4x-35
y=4(-1/2)^2+4(-1/2)-35
y=-1-2-35
y=-38
So the minimum point on this parabola is (-1/2,-38)
I really hope th
Answer:
3x + 4 ≤ 13
Step-by-step explanation:
