Answer:
(d) f(x) = -x²
Step-by-step explanation:
For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...
f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)
f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)
Of the offered answer choices, the only one with a vertex at the origin is ...
f(x) = -x² . . . . . a=-1
Answer:
2(2y - 1) - y = 7
Step-by-step explanation:
I guess the 2 equations are
2x - y = 7
x = 2y - 1
substitution message that you use one equation to express one variable by the other, and then you use that in the other equation to get one equation for one variable. then you solve for that, and use that result in the first equation to since for the second variable.
the equations are already defined that way, that the second equation directly defines x as an excision of y.
so, this needs to be used then in the first equation.
and that makes
2(2y - 1) - y = 7
the correct first step.
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
about $171,400
Step-by-step explanation:
William's total monthly debt is ...
$1012.84 +579.13 +250 +300 = 2141.97
On an annual basis, this is ...
12 × $2141.97 = $25,703.64
This will be 15% of (25703.64/0.15) = $171,357.60.
William's new annual salary should be about $171,400 to keep his debt ratio at the recommended 15%.
_____
<em>Additional comment</em>
A debt ratio of 15% is a pretty aggressive target. Most mortgage lenders like to see the "front end" ratio (housing expense) less than 28%, and the "back end" ratio (all debt) less than 36%.
Answer:
Diagonal
Step-by-step explanation:
The measure of a television is always indicated by providing the length of the diagonal, in inches.
In fact, the actual length and height of a 32" tv are:
- Length:
L = 27.9 inches
- Height:
h = 15.7 inches
For an object with a rectangular shape, such as the TV, the diagonal of the object can be found by using Pythagorean's theorem:
where
L is the length of the rectangle
h is the height of the rectangle
Substituting the values above, we find:
Which corresponds to the diagonal of the TV.
