Answer:
Put the equation in standard form by bringing the 4x + 1 to the left side.
7x2 - 4x - 1 = 0
We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.
b2 - 4ac In this case, a = 7, b = -4, and c = -1
(-4)2 - 4(7)(-1)
16 + 28 = 44
Now here are the rules for determining the nature of the roots:
(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)
(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)
(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)
44 > 0, so there are two real roots
Answer: 30x
Step-by-step explanation:
x 
x 
This can also be written as :
= 
which could be written as :
x
= 30x
Answer:
(a). 2.251 cm
, 2.349 cm, 2.295 cm
(b). 0.023 meters.
Step-by-step explanation:
(a). We are asked to to choose the options that shows the actual measurement of the rainfall.
Since the rounded figure is 2.3 cm, this means that either the tenths digit is 3 with hundredths digit less than 5, or tenths digit is 2 with hundredths digit greater than or equal to 5.
Let us check our given choices one by one.
Therefore, the correct choices are 2.251 cm
, 2.349 cm and 2.295 cm.
(b) We know that 1 cm equals 0.01 meters.
To convert 2.3 cm to meters, we will multiply 2.3 by 0.01.
Therefore, the rounded measurement of rain would be 0.023 meters.
Answer:
Confusion
Step-by-step explanation:
what the heck are you asking?
Answer:
Number of smaller ropes she can make from the larger rope = 2/3
Step-by-step explanation:
Total length of rope = 2/5 ft
Length of smaller rope = 3/5 ft
How many smaller ropes can she make from the larger rope?
Number of smaller ropes she can make from the larger rope = Total length of rope / Length of smaller rope
= 2/5 ÷ 3/5
= 2/5 × 5/3
= (2*5)/(5*3)
= 10/15
= 2/3
Number of smaller ropes she can make from the larger rope = 2/3
