Answer:
Step-by-step explanation:
Step 2, she factored the trinomial incorrectly. She did, "what two numbers multiply to equal 6 but add to equal 5?" She should have asked multiply to equal -6 and add to equal 5. The correct factorization would be:
(x+6)(x-1) = 0
x = -6 and 1
Answer:
The time required to accumulate simple interest of $ 60.00
from a principal of $ 750.00 at an interest rate of 4% per year is 2 years.
Step-by-step explanation:
Given
- Interest rate r = 4% = 0.04
To determine
Time period t = ?
Using the formula
I = Prt
t = I / Pr
substitute I = $60, P = $750 and r = 0.04 in the equation
t = 60 / ( 750 × 0.04 )
t = 2 years
Therefore, the time required to accumulate simple interest of $ 60.00
from a principal of $ 750.00 at an interest rate of 4% per year is 2 years.
Answer:
42.9 cm^3
Step-by-step explanation:
Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3
Radius of a ball = 1.5 cm
Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3
Volume of the balls = 14,137167 x 12 = 169,646003 cm^3
Final answer = 212.5 - 169,646003 = 42.9 cm^3
Answer:
it is in standard form
Step-by-step explanation:
your thinking of y intercept not standard
Answer:
The length and width are 11ft and 5ft respectively
Step-by-step explanation:
let the
length = L
Width = W
Area = LW = 55
The length is nine feet less than four times the width
L = 4W - 9
W (4W - 9) = 55
4W^2 - 9W -55 = 0
4W^2 - 20W + 11W - 55 = 0
4W(W - 5) + 11(W - 5) = 0
(W - 5)(4W + 11) = 0
W - 5 = 0 , 4W + 11=0
W = 5 or - 11/4
since the width cannot be negative, W = 5
LW = 55
L = 55/5
L = 11
The length and width are 11ft and 5ft respectively.
