Try unplugging your computer all the way and them leave it unplugged about 3 min and then re plug it in
Answer:
<u>2268 inches of fabric</u>
Step-by-step explanation:
There are 36 inches in 1 yard. Therefore, we multiply 36 by 63 to get an answer of 2268.
<u>Therefore, Emily bought </u><u>2268</u><u> inches of fabric</u>
Answer:
Step-by-step explanation:
We have:
And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:
Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:
Zero Product Property:
On the left, subtract 5.
On the right, add 1.
So, our zeros are:
Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.
So, our solution is:
And we're done!
Answer:
6
Step-by-step explanation:
The trick here is to know PEMDAS.
PEMDAS stands for: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
This is the order in which you should simplify a problem.
Parentheses:
(5 + 1)^2 - (11 + 32) + 4
(6)^2 - (43) + 4
Exponents:
(6)^2 - (43) + 4
36 - 34 + 4
We have no multiplication or division, so we can skip those steps.
Addition:
36 - 34 + 4
40 - 34
Subtraction:
40 - 34
6
So 6 is our answer.
Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]
Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189
The equation of the axis of symmetry is x = -b/(2a), which here equals
x = -(12)/[2(-1)], or x = 6
This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.
