The answer would be 0
You combine the first 2 “K” and that would make it k squared meaning it equals to 1 so now it’s 3k minus 3k so 0
Answer:
B.
Step-by-step explanation:
First convert the equation to slope-intercept form:
2x - 5y = 7
-5y = -2x + 7
y = 2/5 x - 7/5
So the slope of the given line is 2/5.
So the slope of a perpendicular line will be -1/ 2/5 = -5/2.
Take B:
5x + 2y = 3
2y = -5x + 3
y = -5/2.
So its B.
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
For something to be a function, the input (x value) can ONLY HAVE ONE output (y value), so if x has multiple outputs, it is not a function
B is not a function because x = 2 and x = 9 has 2 outputs
Your answer is A
First, find the percentage of the price after the sale occures
percent = 100% - 20%
percent = 80%
We need to find the price for the pairs with the percentage above
new price = percentage of new price/percentage of old price × old price
new price = 80%/100% × 55
new price = 4/5 × 55
new price = 44
The new price is $44
Now we estimate how much the tax
tax = 6% × 44
tax = 6/100 × 44
tax = 2.64
Calculate how much Josie will pay
pay = new price + tax
pay = 44 + 2.64
pay = 46.64
Josie will pay $46.64
