To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).
with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.
True because you do not include the number if the circle was open.
So, the first thing you should do is break it down. First how much space can she have, and how many hotdogs and hamburgers would she have know the amount of space. Then you would find the amount of money she would make if she sold the food, and how much she would spend for inventory. Hope this helps!
1 cup = 8 fl oz.
So then we can set up a ratio of
So we get:
We cross multiply and we try to solve for x, so:
And the fl. oz. cancel out, and we are left with:
<u>So 22 fl. oz. equals to 2 3/4 cups.</u>
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
Since you know m = 2, you can plug it into the equation
y = mx + b
y = 2x + b
To find "b", plug in the point (2,4) into the equation
y = 2x + b
4 = 2(2) + b
4 = 4 + b Subtract 4 on both sides
0 = b
y = 2x + 0
y = 2x
