Answer:
The slope is -4.5
The slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Step-by-step explanation:
In the equation y = mx + b, m is the slope.
The coefficient in the equation B = 27 – 4.5t is -4.5. This means that -4.5 is the slope of the equation.
In the context of this problem, the slope will represent the percent that Elijah's phone battery will decrease per hour.
So, the slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Answer:
3:1
Step-by-step explanation:
Answer:
0.925 or 92.5%
Step-by-step explanation:
y=a(1-b)^x
decay factor is 1-b <- and the part we care about
b is 7.5%=0.075
1-0.075
=0.925
I'm a little rusty on exponential rates, but I hope this helps!
The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
Answer:
26,250 sq mm^2
Step-by-step explanation:
First i cut the shape so its a rectangle on the top and there is a vertical rectangle. Then you find the lengths and to do that for the first rectangle(the horizontal one) you add 75, 75 and 75 to get the length. Then multiply 225(the sum of the 3 75s) by 75 (width) which gets you 16,875.
That is the area of the first rectangle
Now for the vertical rectangle you simply multiply the length and width, 75x125. That equals 9,375. Now add.
9375+16875= 26250!!!!
