Answer:
y = x/10 + 43/10
Step-by-step explanation:
y - y1/ x - x1 = y2 - y1/ x2 - x1
y - 4/ x +3 = 5 - 4/7 + 3
y - 4 / x + 3 = 1/10
10(y - 4) = x + 3
10y - 40 = x + 3
10y = x + 43
y = x/10 + 43/10
Answer:
Step-by-step explanation:
In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?
54.03 inches
48.57 inches
48.00 inches
49.17 inches
Answer:
(.085 x 65) + 65 = $70.525 or $70.53 (if we rounding)
(5.525) + 65 =
Answer:
For company A, y = 24x + 42
For company B, y = 28x + 25
Step-by-step explanation:
x is the number of containers
y is the total cost
For company A, y = 24x + 42
For company B, y = 28x + 25
For the cost of both companies to be the same, then
24x + 42 = 28x + 25
28x - 24x = 42 - 25
4x = 17
x = 4.25
Mr Lycan would have to order about 4 containers so the cost would be the same from each company
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>
