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
_____
<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.
Answer:
1.1h+0.75c=4.55---------------1
h+c=5--------------2
Step-by-step explanation:
Step one:
given data
total lunch items= 5
let hot dogs be h
and cookies be c
cost of hot dogs = $1.10
cost of cookies = $0.75
total cost = $4.55
Step two:
The linear model for the total cost is given as
4.55=1.1h+0.75c---------------1
and the model for the number of items is
h+c=5--------------2
The systems of the equation for the situation is
1.1h+0.75c=4.55---------------1
h+c=5--------------2
The area is 186.03. lw = 15.9(11.7) = 186.03
Answer:
Perimeter of larger triangle is 40.
Step-by-step explanation:
Given:
Perimeter of smaller circle = 16
Ratio of corresponding side = 2:5
We need to find the perimeter of the larger triangle.
Solution:
Let the perimeter of the larger triangle be 'x'.
Therefore by theorem which states that;
" When a triangle have scale factor a:b then the ratio of the perimeters is a:b".
Here Ratio is 2:5, so we can say by theorem, Ratio of perimeters is 2:5
framing in equation form we get;

Substituting the values we get;

By Cross multiplication we get;

Dividing both side by 2 we get;

Hence Perimeter of larger triangle is 40.
Answer: 1.2 in
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². Thus, 0.9²+b²=1.5².
1.5²=2.25
0.9^2=0.81
0.81 + b² = 2.25
1.44 = b²
b = 1.2
Hope it helps <3 :)