I believe you would do the feet ,130, divided by the minutes ,35, to get how many feet per minute. It would get you a never ending decimal of 3.714285. So every minute he would drop about 4 feet. You will have to put it how it says to for what your answering is. If it says round to the whole number then he would drop 4 feet, but I hope this helps you in any way :)
Answer:
the vertex is (1,-1)
Step-by-step explanation:
y = −3x^2 + 6x − 4
the vertex is at
h= -b/2a where ax^2 +bx+c
h= -6/2(-3)
h= -6/-6
h=1
substitute this in to find the y value
y = -3(1)^2 +6(1)-4
y = -3+6-4
y = -1
the vertex is (1,-1)
Answer:
Step-by-step explanation:
f(x) is quadratic function and g(x) is linear (since AP in the right column).
<u>Find the equation of the function f(x), use the points on the graph:</u>
- c = 5 as the y-intercept is (0, 5)
- a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
- a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4
<u>The function is:</u>
Find the equation of g(x)
<u>Find the slope of g(x):</u>
- m = (1 - 7)/(-1 + 4) = -2
<u>Use (-4, 7) to find its equation:</u>
- y - 7 = -2(x + 4)
- y = -2x + 7 - 8
- y = -2x - 1
<h3>See the required comparison below</h3>
<u>The y-intercepts:</u>
- f(x) ⇒ 5,
- g(x) ⇒ -1
- -5 < - 1
<u>Values at x = 3:</u>
- f(3) = -3² + 4(3) + 5 = 8
- g(3) = -2(3) - 1 = - 7
- 8 > 7
<u>Average rate of change in the interval [2,5]:</u>
- f(x) ⇒ (0 - 9)/(5 - 2) = -3
- g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
- -3 < -2
<u>Max of function in the interval [-5, 5];</u>
- f(x) ⇒ 9, vertex of the function
- g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
- 9 = 9
Your mistake is that 1 pound and 15 ounces <em>does not equal</em> 1.15 pounds. You also did not make everything into the same measurement (you mixed up pounds and ounces). I will make everything into the measurement of <em>ounces</em>, since the numbers do not come out clean if we do pounds.
18 pounds (original) = 288
1 pound 15 ounces = 31 ounces
3 1/8 pound = 50 ounces
4 1/2 pound = 72 ounces
So after cutting out those steaks, Mr. Rand has 288-31-50-72 = 135 ounces. Then, it states that he divides those up into 9 ounce patties:
135/9 = 15 patties
And sells them at 3 for $3.12. There are 5 3's in 15 patties, so it is 5 * $3.12 = Mr Rand receives $15.60 for the patties.
