9514 1404 393
Answer:
(a) none of the above
Step-by-step explanation:
The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.
The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)
This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."
This function has a=1, b=1, and c=3. The minimum of the function is where ...
x = -b/(2·a) = -1/(2·1) = -1/2
This value is not listed among the answer choices, so the correct choice for this function is ...
none of the above
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The attached graph of the function confirms that the minimum is located at x=-1/2
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<em>Additional comment</em>
When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.
Hi there !
The answer is B. angle 4.
An alternate interior angle is diagonally across one angle on the inside of the transversal. Opposite of 5 on the inside is angle 4.
Hope this helps !
Answer:
30/182 = 15/91.
Step-by-step explanation:
<u>PROBABILITY:</u> the likelihood of an event.
There are a total of 14 shirts in the basket.
Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.
The probability of picking a black shirt is 6 in 14, or 6/14.
The probability of picking a white shirt is 8 in 14, or 8/14.
<u>WITHOUT REPLACING:</u> This means that you take one without putting it back. (There will be one less).
6/14 × 5/13 = 30/182.
30/182 = 15/91.
Answer:
y=6
Step-by-step explanation:
use elimination by making the ys opposite in value and eliminating them from the equation so there is only variable:
-3x+2y=6
2(4x-y=2)
-3x+2y=6
8x-2y=4
Combine like terms and divide by 5 on both sides.
5x=10
x=2
Plug x in to find y:
4(2)-y=2
8-y=2
y=6
The answer is 200. 1% is equal to 2, so 100% is equal to 200.