Answer:
a=29/42
Step-by-step explanation:
6a-1÷7=4
first write the division as a fraction
6a-1/7=4
add 1/7 to each side
6a=4+1/7
which is equal to
6a=29/7
divide both sides by 6
a=29/42
If Samantha's backyard has an area of 100 square feet, and you need to know how much fencing to enclose the garden, you know you are looking for the parameter of the garden. To fine the parameter you have to know the length of the sides. Area of a square is length times width and length and width are the same value. So what you know the square-root of 100 is the value of each side. So each side of the garden is 10 feet long. To find parameter all you do is add up all four sides. 10+10+10+10 = 40 feet need to enclose the flower garden.<span />
Answer:
B. $840
Step-by-step explanation:
Given that
Rate of simple interest = 3.5%
Principal amount = $12,000
Time = 2 year
To find:
Interest earned = ?
Solution:
Formula for Simple Interest is given as:

Where P is the principal amount
R is the annual Rate of interest
T is the time for which principal was invested.
Here, we are given that:
P = $12,000
R = 3.5%
T = 2 years
Putting all the values in the formula:

So, answer is:
B. $840
Answer:
1
Step-by-step explanation:
The quadratic function
y = -2(x + 2)² - 1
has no real zeros because its vertex is located at (-2, -1) and it opens downward (the leading coefficient, -2, is negative)
A quadratic function has one real root if its vertex has the form (x, 0). If we add 1 to our equation, we get:
y = -2(x + 2)² - 1 + 1 = -2(x + 2)²
which has point (-2, 0) as vertex
Answer:
Options (1) and (2)
Step-by-step explanation:
Properties of a polynomial,
1). A polynomial having division by a variable can't be defined as a polynomial.
Example:
(y² +
)
2). A polynomial can't have a negative exponent.
Example : 
3). Polynomials don't have the radicals.
Example : y² + x√3
4). A polynomial can't have a fraction exponent.
Example :
By these properties, Options (3) and (4) are not the polynomials.
Options (1) and (2) are the correct options.